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Early Elementary Number Sense Place Value and Number Combinations
WorkText
Release 6
A+ TutorSoft Email: [email protected]
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Copyright © 2011 A+ TutorSoft Inc., All Rights Reserved.
No part of this publication may be reproduced, distributed, or transmitted in any form or by any means, including photocopying, recording, or other electronic or mechanical method, without the prior written permission of A+ TutorSoft Inc.
Printed in the United States of America 2011, 2012
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ABOUT THE WORKTEXT, This book is designed to be used as a supplement to teach place value and number combinations to students in early elementary years. It contains core MATH concepts, Worksheets, and Worksheets Answer Key.
Please use the space provided under each problem on the worksheets to show your work. We highly encourage you to use this space to list the step-by-step process your student follows in arriving at their solution.
The main subject areas covered for this worktext are: 1.1 Identifying and Counting Numbers to 100 1.2 Identifying and Counting Numbers past 100 1.3 One More, One Less 1.4 Find 10 More 1.5 Number Types 1.6 Number Forms 1.7 Even and Odd Numbers 1.8 Introduction to Place Values 1.9 Identifying Ones and Tens in Numbers 1.10 Place Values for 3-digit Numbers 1.11 Number Combinations (up to 3 digits) 1.12 The Role of Zero 1.13 Place Value for Larger Numbers 1.14 Number Combinations for Larger Numbers 1.15 Defining and Grouping Whole Numbers
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Acknowledgement: A+ TutorSoft would like to thank all the individuals who helped research, write, develop, edit, and launch our MATH Curriculum products. Countless weeks, years, and months have been devoted to the production of A+ TutorSoft Interactive MATH Curriculum and our printed texts; for this we thank everyone who contributed in making these products a reality.
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TABLE OF CONTENTS
Book Chapter 1.0 – Place Value and Number Combinations ……………………………….... 9 Chapter 1.1 Identifying and Counting Numbers to 100……………………………………. 10 Chapter 1.2 Identifying and Counting Numbers past 100…………… …………………… 14 Chapter 1.3 One More, One Less…………………………………………………………….. 18 Chapter 1.4 Find 10 More…………………………………..…………………………………. 25 Chapter 1.5 Number Types………………….……………………………………………….... 29 Chapter 1.6 Number Forms……………………….…..………………………………………. 31 Chapter 1.7 Even and Odd Numbers………………….…………………………………….. 33 Chapter 1.8 Introduction to Place Values………….………………………………………… 35 Chapter 1.9 Identifying Ones and Tens in Numbers……………………………………….. 39 Chapter 1.10 Place Values for 3-digit Numbers…………..………………………………… 45 Chapter 1.11 Number Combinations (up to 3 digits) …………..…………………………… 49 Chapter 1.12 The Role of Zero…………………..………………………..………….……… 55 Chapter 1.13 Place Value for Larger Numbers…………………………..………..…..…… 61 Chapter 1.14 Number Combinations for Larger Numbers………………………..……….. 64 Chapter 1.15 Defining and Grouping Whole Numbers……………….…………….……… 67
Worksheets Worksheet 1 – 1.1 Identifying and Counting Numbers to 100………………….…………. 71 Worksheet 2 – 1.2 Identifying and Counting Numbers past 100…………….……………. 76 Worksheet 3 – 1.3 One More, One Less …………….……………………….……………... 82 Worksheet 4 – 1.4 Find 10 More …………………………………………………………….. 84 Worksheet 5 – 1.5 Number Types ………….………………………………………..………. 86 Worksheet 6 – 1.6 Number Forms …………………..………………………………….….… 90 Worksheet 7 – 1.7 Even and Odd Numbers ……………….……………………………….. 94 Worksheet 8 – 1.8 Introduction to Place Values ……………………………………………. 98 Worksheet 9 – 1.9 Identifying Ones and Tens in Numbers…………………………..……. 101 Worksheet 10 – 1.10 Place Values for 3-digit Numbers ………………………………….…. 104 Worksheet 11 – 1.11 Number Combinations (up to 3 digits) ……….………………………. 107 Worksheet 12 – 1.12 The Role of Zero …………………………..…………..………….……. 111 Worksheet 13 – 1.13 Place Value for Larger Numbers ……………….……………..…..…. 114 Worksheet 14 – 1.14 Number Combinations for Larger Numbers ………..………..……… 117 Worksheet 15 – 1.15 Defining and Grouping Whole Numbers ……………………….……. 120
Worksheets Answer Key Worksheet 1 – 1.1 Identifying and Counting Numbers to 100………………….…………. 125 Worksheet 2 – 1.2 Identifying and Counting Numbers past 100…………….……………. 125 Worksheet 3 – 1.3 One More, One Less …………….……………………….……………... 126 Worksheet 4 – 1.4 Find 10 More …………………………………………………………….. 126 Worksheet 5 – 1.5 Number Types ………….………………………………………..………. 127 Worksheet 6 – 1.6 Number Forms …………………..………………………………….….… 127 Worksheet 7 – 1.7 Even and Odd Numbers ……………….……………………………….. 128 Worksheet 8 – 1.8 Introduction to Place Values ……………………………………………. 128 Worksheet 9 – 1.9 Identifying Ones and Tens in Numbers…………………………..……. 129 www.aplustutorsoft.com Page 7 of 134 Worksheet 10 – 1.10 Place Values for 3-digit Numbers ………………………………….…. 129 Worksheet 11 – 1.11 Number Combinations (up to 3 digits) ……….………………………. 129 Worksheet 12 – 1.12 The Role of Zero …………………………..…………..………….……. 131 Worksheet 13 – 1.13 Place Value for Larger Numbers ……………….……………..…..…. 131 Worksheet 14 – 1.14 Number Combinations for Larger Numbers ………..………..……… 131 Worksheet 15 – 1.15 Defining and Grouping Whole Numbers ……………………….……. 132
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1.0 Place Value and Number Combinations
In this book we will discuss the following main topics:
Identifying and Counting Numbers to 100 Identifying and Counting Numbers past 100 One More, One Less Find 10 More Number Types Number Forms Even and Odd Numbers Introduction to Place Values Identifying Ones and Tens in Numbers Place Values for 3-digit Numbers Number Combinations (up to 3 digits) The Role of Zero Place Value for Larger Numbers Number Combinations for Larger Numbers Defining and Grouping Whole Numbers
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1 – 1 Identifying and Counting Numbers to 100
It is very important that you know how to count numbers. It is also important that you can identify the numbers and say their values. You have worked hard on learning your numbers from 1 through 20. Let’s count these numbers together. Please count along with me. So here we go,
1 2 3 4 5 6 7 8 9 10 one two three four five six seven Eight nine ten
11 12 13 14 15 16 17 18 19 20 eleven Twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen twenty
Nice work! Now we are going to learn the numbers that come after 20 all the way up to 100. There are a few patterns I am going to show you that will make counting to 100 easier.
Let’s look at the next few numbers after 20 and you tell me when you see a pattern.
The number after 20 is 21, then the next number is 22 and the next is 23.
21 22 23 twenty-one twenty-two twenty-three
Do you see the pattern? What number do you think comes next? Yes, 24! To come up with all the numbers in the 20s, you just put the numbers 1 through 9 after the 2. Try counting from 21 to 29 with me.
21 22 23 24 25 26 27 28 29 twenty- twenty- twenty- twenty- twenty- twenty- twenty- twenty- twenty- one two three four five six seven eight nine
Very good! Now we need to figure out the next number after 29. Well, the next number after 9 is 10, so let’s change the number 9 to a 0 and add the 1 to the 2, which makes the number 3. So, the number 29 becomes 30.
Now, the 30s follow the same pattern that the 20s followed. Do you remember that pattern?
If you said to put the numbers 1 through 9 after the 3, great job! Now, let’s count the numbers 30 through 39 together.
30 31 32 33 34 35 36 37 38 39 thirty- thirty- thirty- thirty- thirty- thirty- thirty- thirty- thirty- Thirty one two three four five six seven eight nine
www.aplustutorsoft.com Page 10 of 134 Very good! You are really great at counting! Now we need to figure out the next number after 39. So, just like we did before, the number 10 comes after 9, so change the 9 to a 0 and add that 1 to the 3, which will make 40. So, what is the next number after 39? Yes, 40!
Now, I can tell you that the 40s also follow the same pattern as the 20s and 30s, can you tell me that pattern? If you said to put the numbers 1 through 9 after the 4, then you are really getting the hang of this! Now, let’s count the numbers 40 through 49 together.
40 41 42 43 44 45 46 47 48 49 forty- forty- forty- forty- forty- forty- forty- forty- forty- forty one two three four five six seven eight nine
Great job! Now it’s time to show you the second pattern that makes counting to 100 easier. So far we have counted to 20, then we counted all the numbers in the 30s and 40s. Do you see a pattern in just these three numbers: 20, 30, 40?
Yes, the first number (also known as the ten’s place) counts by 1. So, it goes 20, 30, 40, 50, 60, 70, 80, 90 and finally 100. All the numbers in between repeat the first pattern I showed you, which is where the second number (also known as the one’s place) repeats the numbers 1 through 9 before letting the first number move up one. Let’s review all the numbers to 49 again. The numbers are shown here.
1 2 3 4 5 6 7 8 9 10 one Two three four Five six seven eight nine ten
11 12 13 14 15 16 17 18 19 20 eleven Twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen twenty
21 22 23 24 25 26 27 28 29 twenty- twenty- twenty- twenty- twenty- twenty- twenty- twenty- twenty- one two three four five six seven eight nine
30 31 32 33 34 35 36 37 38 39 thirty- thirty- thirty- thirty- thirty- thirty- thirty- thirty- thirty- thirty one two three four five six seven eight nine
40 41 42 43 44 45 46 47 48 49 forty- forty- forty- forty- forty- forty- forty- forty- forty- forty one two three four five six seven eight nine
Can you guess what comes after 49? Yes, 50! Now let’s count the 50s using the pattern we have learned. Please count with me.
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50 51 52 53 54 55 56 57 58 59 fifty- fifty- fifty- fifty- fifty- fifty- fifty- fifty- fifty- fifty one two three four five six seven eight nine
Can you guess what comes after 59? Yes, 60! Now let’s count the 60s using the pattern we have learned. Please count with me.
60 61 62 63 64 65 66 67 68 69 sixty- sixty- sixty- sixty- sixty- sixty- sixty- sixty- sixty- sixty one two three four five six seven eight nine
Can you guess what comes after 69? Yes, 70! Now let’s count the 70s using the pattern we have learned. Please count with me.
70 71 72 73 74 75 76 77 78 79 seventy- seventy- seventy- seventy- seventy- seventy- seventy- seventy- seventy- seventy one two three four five six seven eight nine
Can you guess what comes after 79? Yes, 80! Now let’s count the 80s using the pattern we have learned. Please count with me.
80 81 82 83 84 85 86 87 88 89 eighty- eighty- eighty- eighty- eighty- eighty- eighty- eighty- eighty- eighty one two three four five six seven eight nine
We are getting really close to 100. Can you guess what comes after 89? Yes, 90! Now let’s count the 90s using the pattern we have learned. Please count with me.
90 91 92 93 94 95 96 97 98 99 ninety- ninety- ninety- ninety- ninety- ninety- ninety- ninety- ninety- ninety one two three four five six seven eight nine
Now, the next number after 99 can be tricky. Do you know this number? There is no tricking you! Yes, the next number is 100. Why? Remember how I explained earlier that the next number after 9 is 10, so we change the second number (the one’s place) to a 0 and added the 1 to the first number (the ten’s place). In this case the first number is 9 too, so 9 turns to 10. 10 and 0 makes 100.
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This is a hundred’s chart that shows all the numbers from 1 to 100.
Congratulations! You know how to count to 100 now!
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1 – 2 Identifying and Counting Numbers Past 100
Great job learning how to count to 100! Did you know that numbers go way higher than 100? They do. Now we are going to learn all the numbers from 101 to 1,000. We just use the same patterns when counting to 100, just with bigger numbers now. Please count along with me. So here we go,
101 102 103 104 105 106 107 108 109 110 one one one one one one one one one one hundred hundred hundred hundred hundred hundred hundred hundred hundred hundred one two three four five six seven eight nine ten
111 112 113 114 115 116 117 118 119 120 one one one one one one one one one one hundred hundred hundred hundred hundred hundred hundred hundred hundred hundred eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen twenty
Great job! See how the numbers 101 through 120 are similar to the numbers 1 through 20? The difference with the bigger numbers is that you say “one hundred” in front of the numbers 1 through 20.
Now we use the same pattern we used when counting from 20 to 29, except we still have the “one hundred” in front of the number. Let me show you what I mean. I am going to count and if you can, please count with me.
121 122 123 124 125 126 127 128 129 one one one one one one one one one hundred hundred hundred hundred hundred hundred hundred hundred hundred twenty- twenty- twenty- twenty- twenty- twenty- twenty- twenty- twenty- one two three four five six seven eight nine
Did you see the pattern? After the words “one hundred twenty” we used the numbers 1 through 9 one at a time. This pattern keeps repeating all the way to 1,000. Try counting to 200 with me.
130 131 132 133 134 135 136 137 138 139 one one one one one one one one one one hundred hundred hundred hundred hundred hundred hundred hundred hundred hundred thirty thirty- thirty- thirty- thirty- thirty- thirty- thirty- thirty- thirty- one two three four five six seven eight nine
140 141 142 143 144 145 146 147 148 149 one one one one one one one one one one hundred hundred hundred hundred hundred hundred hundred hundred hundred hundred forty forty- forty- forty- forty- forty- forty- forty- forty- forty- one two three four five six seven eight nine
www.aplustutorsoft.com Page 14 of 134 You are doing great! Keep counting!
150 151 152 153 154 155 156 157 158 159 one one one one one one one one one one hundred hundred hundred hundred hundred hundred hundred hundred hundred hundred forty forty- forty- forty- forty- forty- forty- forty- forty- forty- one two three four five six seven eight nine
160 161 162 163 164 165 166 167 168 169 one one one one one one one one one one hundred hundred hundred hundred hundred hundred hundred hundred hundred hundred forty forty- forty- forty- forty- forty- forty- forty- forty- forty- one two three four five six seven eight nine
Fabulous work! Ready? Let’s keep going.
170 171 172 173 174 175 176 177 178 179 one one one one one one one one one one hundred hundred hundred hundred hundred hundred hundred hundred hundred hundred forty forty- forty- forty- forty- forty- forty- forty- forty- forty- one two three four five six seven eight nine
180 181 182 183 184 185 186 187 188 189 one one one one one one one one one one hundred hundred hundred hundred hundred hundred hundred hundred hundred hundred forty forty- forty- forty- forty- forty- forty- forty- forty- forty- one two three four five six seven eight nine
We are almost there! Keep it up!
190 191 192 193 194 195 196 197 198 199 one one one one one one one one one one hundred hundred hundred hundred hundred hundred hundred hundred hundred hundred forty forty- forty- forty- forty- forty- forty- forty- forty- forty- one two three four five six seven eight nine
Great job! Can you guess what number comes after 199? If you said 200, you are right! The next number after 9 in the one’s place is 10, so we change the number 9 to a 0 and add the 1 to the 19, which makes the number 20. So, the number 199 becomes 200.
The same patterns we learned when counting to 100 is used when counting even higher too.
So, if we were to skip all the numbers in between and just count the hundreds, we would have 100, 200, 300, 400, 500, 600, 700, 800, 900 and 1,000.
www.aplustutorsoft.com Page 15 of 134 If you follow these two patterns, then you can count to 1,000! Here are all the numbers grouped by 100 all the way to 1,000.
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Congratulations! You know how to count to 1,000 now!
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1 – 3 One More, One Less
Now we are going to learn more about numbers, by finding one more or one less than a number I give you.
We can use a number line to help us.
First, let’s find one more than a given number. When we say one more it means we go forwards because the numbers get bigger as we move to the right.
For example, What number is one more than 9?
Excellent! One more means we go to the right 1 space. So, 10 is one more than 9.
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What number is one more than 16?
17 is one more than 16.
What number is one more than 24?
You’re doing a great job! 25 is one more than 24.
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40 is one more than 39. Great job! Keep it up!
What number is one more than 50?
Very good! 51 is one more than 50.
What number is one more than 79?
80 is one more than 79.
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You did a fantastic job finding one more. Now, let’s find one less than a number I give you. When we say one less, it means we go backwards since the numbers get smaller as we move to the left.
What number is one less than 7?
We go backwards since the numbers get smaller as we move to the left on a number line. The number 6 is one less than 7.
What number is one less than 20?
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Excellent work! 19 is one less than 20.
What number is one less than 39?
38 is one less than 39. You are doing great! Keep it up!
What number is one less than 51?
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Very good! 50 is one less than 51.
What number is one less than 82?
Great job! 81 is one less than 82.
What number is one less than 100?
99.
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You did an excellent job! Remember, you can go back and review this lesson again.
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1 – 4 Find 10 More
Now let’s practice adding 10 more to any number using mental math. Mental math means we picture the problem in our heads and then solve it in our heads.
What do you think 10 more means?
Excellent! 10 more means we add 10.
So, 10 more than 1 means 10 + 1.
Now picture 10 + 1 in your head and think about how we know that 10 + 1 is equal to the next number, which is 11. That’s how you solve a problem using mental math, great job!
Let’s try another. Ready? What is 10 more than 4?
Excellent job! 10 more than 4 means 10 + 4, which you pictured in your head. You might have then counted up from 10 four times and got 14. Like this, 10, 11, 12, 13, 14.
You can also stack the numbers and add them in your head. 0 + 4 = 4 and 1 plus nothing is 1, so you get 14. If you picture this way in your head, be sure not to mix up the one’s and ten’s places.
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Let’s try another problem using this strategy. What is 10 more than 3?
Right! 10 more than 3 means 10 + 3.
So stack the numbers and add them in your head. 0 + 3 = 3 and 1 plus nothing is 1, which is 13. You are doing great!
What is 10 more than 9?
Right! 10 more than 9 means 10 + 9.
So stack the numbers and add them in your head. 0 + 9 = 9 and 1 plus nothing is 1, which is 19. Keep it up!
What is 10 more than 10?
Right! 10 more than 10 means 10 + 10.
www.aplustutorsoft.com Page 26 of 134 Stack the numbers and add them in your head. 0 + 0 = 0 and 1 plus 1 is 2, which is 20.
Another way to solve this problem in your head is to know than when adding 10 more, this means the ten’s place of the other number is increased by 1.
For example, what is 10 more than 23?
If we understand that we just need to add 1 to the ten’s place, then 2 + 1 is 3, so we have 33.
Let’s check this by stacking the numbers and adding, 3 + 0 = 3 and 2 + 1 = 3. We have 33, the same number! So, now you know a quicker way to find 10 more.
Let’s try two more using the quick way. What is 10 more than 45?
Excellent job! If we add 1 to the ten’s place, then 4 + 1 is 5, which means 10 more than 45 is 55.
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Last one. What is 10 more than 76?
Excellent job! If we add 1 to the ten’s place, then 7 + 1 is 8, which means 10 more than 76 is 86.
Great job! If you need more practice, be sure to review this lesson again and keep memorizing your addition facts.
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1 – 5 Number Types
We use numbers three different ways. The first way is to show how many of something there is. We call these Cardinal numbers. They are also known as the counting numbers, like 1, 2, 3, 4, 5, 6 and so on.
Some examples of cardinal numbers would be 2 stars, 3 squares, 4 hearts and 5 suns. The number tells how many of that object we have.
The second way we use numbers are to tell us the order or position of something. These are called Ordinal numbers. For example, you have already finished 1st grade and now you are in 2nd grade. These are ordinal numbers.
The first ten ordinal numbers are: 1st, First 2nd, Second 3rd, Third 4th, Fourth 5th, Fifth 6th, Sixth 7th, Seventh 8th, Eighth 9th, Ninth 10th, Tenth
For example, let’s use the same shapes we used for cardinal numbers. But for ordinal numbers, let’s outline one of the shapes and you tell me the ordinal number for that shape.
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What is this star’s ordinal number? Right, first.
What is this square’s ordinal number? Very good, second.
What is this heart’s ordinal number? Great job, third.
What is this sun’s ordinal number? Awesome, fourth.
Finally, the last way we use numbers are to identify or name something, like telephone numbers or jersey numbers.
555-1212 Jersey #18
We call these numbers nominal numbers. Nominal numbers do not tell how many or show the rank.
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1 – 6 Number Forms
In math, numbers can be expressed in several different number forms. Basically, we can say or write numbers many different ways. In this section we will learn the place value block form, standard form, expanded form and word form to represent numbers.
Place Value Block Form: This form is often easy to understand since it uses the “place value” blocks to represent the numbers.
Example #1: Let’s represent the number 234 in Place Value Block Form.
100 100 10 10 10 4
Each of the two large blocks is worth 100 and both of them added together makes 200.
Each of the three narrow tall blocks is worth 10 and all three added together makes 30.
The last bar has only 4 blocks, which makes a total of 4.
Adding all these up you get, 200 + 30 + 4 = 234
Standard Form: In standard form the numbers are arranged by their place value. The standard form is the most common form used to solve math problems, which is why we call it standard form.
Example #2: The number 134 is written in standard form. Each digit in this number has a unique place value that depends on the position of the digit as we discussed in the previous section.
Expanded Form: The expanded form shows the value of each number in the number set as being added to each other.
Example #3: Write the number 567 in the expanded form. There are three digits in the number 567, with each number having a special value. Let’s find the value of each number.
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The 5 is in the hundred’s place, so 5 x 100 = 500. The 6 is in the ten’s place, so 6 x 10 = 60. The 7 is in the one’s place, so 7 x 1 = 7.
When we add these numbers together, 500 + 60 + 7, we get the number 567.
The number 567 written in expanded form is, 500 + 60 + 7 = 567
Word Form: When a number is in word form it is written using words, just like if you were reading the number.
Example #4: Write the number 567 in word form. First say the number and then write it out. “Five hundred and sixty-seven” is 567 in word form.
Example #5: Write the number 475 in word form. First say the number and then write it out. “Four hundred and seventy-five” is 475 in word form.
Example #6: Write the number 5,954 in word form. First say the number set and then write it out. “Five thousand, nine hundred and fifty-four” is 5,954 in word form.
Example #7: Write the number 7,054 in word form. First say the number set and then write it out. “Seven thousand and fifty-four” is 7,054 in word form.
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1 – 7 Even and Odd Numbers
All numbers are either even or odd. Even numbers have partners and odd numbers do not…like being the odd man out. For example, let’s figure out if the number 6 is odd or even. Here we have 6 smiley faces. If we give each smiley face a partner, then all the smiley faces have a partner, making the number 6 even.
Now let’s determine if the number 7 is even or odd. Let’s give each smiley face a partner.
Do all of the smiley faces have a partner? No, they do not. So, the number 7 is odd because there is an odd man out.
Here is a chart that shows the even and odd numbers up to 10.
www.aplustutorsoft.com Page 33 of 134 Notice that the numbers take turns being odd and even.
What about larger numbers? How can we tell if the number 74 is even or odd? Well, it would take a lot of time to partner up such a big number. So, there is an easier way. All you have to do is look at the last number, which is in the one’s place. If you can partner up that number then it is even and if not then it is odd.
So, is 74 even or odd? Right, it is even because the number 4 can be partnered up.
Is the number 35 even or odd? Great job! 35 is odd because the number 5 has an odd man out.
Is the number 92 even or odd? Yes, 92 is even because 2 can be partnered up.
Is the number 80 even or odd? Yes, 80 is even. Even though 0 cannot be partnered up, the number 10 can be. So, numbers ending in 0 are even.
The easiest way to tell if a number is even or odd is to look at the very last number, the number that is in the one’s place. Any number that ends in 0, 2, 4, 6 and 8 are even numbers. And any number that ends in 1, 3, 5, 7 and 9 are odd numbers.
For example, is 112 even or odd? You are right, it is even since the number is the one’s place is 2.
Is 117 even or odd? You are right, it is odd since the number in the one’s place is 7.
Is 164 even or odd? You are right, it is even since the number in the one’s place is 4.
Is 175 even or odd? You are right, it is odd since the number in the one’s place is 5.
Great job! If you need more practice, please go back and review this lesson.
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1 – 8 Introduction to Place Values
Our whole numbering system is based on only 10 numbers, which are also called digits. We can make any number using just these 10 digits, which are:
0, 1, 2, 3, 4, 5, 6, 7, 8 and 9
We can use these numbers to count up to nine items. But, there are many times we need to count higher than 9.
For example, I bet you have some blocks at home. Do you think it’s possible you could have more than 9 blocks, or more than 9 of any toy? Let’s say you have 23 blocks at home. Did you see how we combined the 2 and 3 to make 23? So, we can use a combination of those 10 digits to make any other number, like the number 23.
But what does the number 23 mean? What does it mean when the 2 is in this position? 23
Does it mean 2 or does it mean more than 2? Right, it means more than 2. But how many more? Let me show you. I made a chart that will help you see the value in the number 23.
The chart has a ones and a tens column. Now, let’s put the 3 here in the one’s column since it is the number on the far right. Where do you think the 2 goes? Yes, it goes in the ten’s column.
www.aplustutorsoft.com Page 35 of 134 This column says we have 3 ones. So, let’s put 3 blocks in this column. 1, 2 and 3.
This column says we have 2 tens. Well, this group represents 1 ten.
What does the ten’s column say we need? Yes, it says we need 2 tens. So, let’s put 2 groups of ten blocks in this column. Great!
Now let’s count all the blocks to see if we hear the number 23. When counting the tens, we count by 10. Ready?
www.aplustutorsoft.com Page 36 of 134 10, 20, 21, 22, 23
So, we have 2 tens, which have a value of what? 20. And we have 3 ones, which have a value of what? 3. So, we have 20 + 3, which makes 23.
Let’s try another number, like 52. Do you remember where the 2 goes? Right, the 2 goes in the one’s column. Where does the 5 go? Yes, the 5 goes in the ten’s column.
What is the value of the 5 in this number? Well, to find the value let’s put the same number of blocks in my handy chart again.
This column says we need what? Yes, 2 ones. So, let’s put 2 blocks here. 1, 2. How many does the tens column say we need? Yes, we need 5 tens. So, let’s put 5 groups of 10 in this column.
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Now let’s count all the blocks to see if we hear the number 52. When counting the tens, we count by 10. Ready?
10, 20, 30, 40, 50, 51, 52
So, we have 5 tens, which have a value of what? 50. And we have 2 ones, which have a value of what? 2. So, we have 50 + 2, which makes 52.
Great job! You have now learned the one’s place value and the ten’s place value.
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1 – 9 Identifying Ones and Tens in Numbers
Now let’s see if we can identify tens and ones in numbers. Do the numbers 1 through 9 have any tens?
Excellent! 1 through 9 only has ones.
Remember a ten has 10 ones grouped together like this. 1 ten equals 10 ones and the numbers 1 through 9 do not have 10 ones.
The numbers from 10 to 19 are composed of 1 ten and some ones.
How many tens and ones are the number 10? The number 10 has 1 ten and 0 ones.
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How many tens and ones are the number 13? Awesome job! The number 13 has 1 ten and 3 ones.
How many tens and ones are the number 17? Very good! The number 17 has 1 ten and 7 ones.
www.aplustutorsoft.com Page 40 of 134 How many tens and ones are the number 20? The number 20 has 2 tens and 0 ones.
How many tens and ones are the number 26? Excellent work! The number 26 has 2 tens and 6 ones.
How many tens and ones are the number 30? The number 30 has 3 tens and 0 ones.
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How many tens and ones are the number 31? The number 30 has 3 tens and 0 ones.
How many tens and ones are the number 50? Yes, the number 50 has 5 tens and 0 ones.
How many tens and ones are the number 65? Yes, the number 65 has 6 tens and 5 ones.
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How many tens and ones are the number 70? The number 70 has 7 tens and 0 ones.
How many tens and ones are the number 84? Yes, the number 84 has 8 tens and 4 ones.
How many tens and ones are the number 90? The number 90 has 9 tens and 0 ones.
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How many tens and ones are the number 99? Yes, the number 99 has 9 tens and 9 ones.
You did a very good job! If you need more practice identifying the tens and ones in numbers, then please go back and review this lesson again.
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1 – 10 Place Values for 3-digit Numbers
We have talked about how our numbering system is based on only 10 digits and we can make any number using just these 10 digits, which are:
0, 1, 2, 3, 4, 5, 6, 7, 8 and 9
We have also learned how to find the value of a number, like 23. Do you remember putting the 3 in the one’s column and the 2 in the ten’s column? Then, we used blocks to find their value, meaning the 2 means 2 tens with a value of 20 and the 3 means 3 ones with a value of 3, making 23.
Similar to this, we can make a number that has more than 2 digits. Let’s use the number one hundred thirty-five. How many digits are in 135? Yes, 1, 3 and 5 are digits, so there are 3 digits. So, what is the name of the place value for the 1? Let’s say the number again, one hundred thirty-five. Can you hear how we say the place value in the number? Listen closely, one hundred thirty-five. Yes, the 1 is in the hundred’s place. So, now we have a new chart to help us figure out the value of each digit.
www.aplustutorsoft.com Page 45 of 134 Do you remember where the 5 goes? Right, the 5 goes in the one’s column. Where does the 3 go? Yes, the 3 goes in the ten’s column. Now, where do you think the 1 goes? Good job! The 1 goes in the hundred’s column.
Now we want to know the value of each digit. So we can put the same number of blocks in this handy chart again.
This column says we need what? Yes, 3 ones. So put 3 blocks here. 1, 2, 3. How many does the tens column say we need? Yes, we need 3 tens. So, let’s put 3 groups of 10 in this column. 10, 20, 30. Now, how many does the hundred’s column say? Great job! We need 1 hundred, which is the same as 10 tens.
This block has 10 tens altogether, which makes 100. Let’s count each column of 10. Remember how to skip count by 10? Good. Please count with me. 10, 20, 30, 40, 50, 60, 70, 80, 90 and 100. So, 10 tens make 100.
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Now let’s count all the blocks to see if we hear the number 135. Ready?
100, 110, 120, 130, 131, 132, 133, 134, 135
So, we have 1 hundreds, which has a value of 100. We have 3 tens, which have a value of 30. And we have 5 ones, which have a value of 5. So, we have 100 + 30 + 5, which makes 135.
Let’s try one more example. Let’s use the number 248. Do you remember where the 8 goes? Right, the 8 goes in the one’s column. Where does the 4 go? Yes, the 4 goes in the ten’s column. Now, where do you think the 2 goes? Good job! The 2 goes in the hundred’s column.
www.aplustutorsoft.com Page 47 of 134 Now we want to know the value of each digit. How can we do that? Yes, we can put the same number of blocks in this handy chart again.
The ones column says we need what? Yes, 8 ones. So put 8 blocks here. 1, 2, 3, 4, 5, 6, 7, 8. How many does the tens column say we need? Yes, we need 4 tens. So, let’s put 4 groups of 10 in this column. 10, 20, 30, 40. Now, how many does the hundreds column say we need? Great job! We need 2 hundreds. 100, 200.
So, now let’s count all the blocks to see if we hear the number 248. Ready?
100, 200, 210, 220, 230, 240, 241, 242, 243, 244, 245, 246, 247, 248
Great job! So, we have 2 hundreds, which has a value of 200. We have 4 tens, which have a value of 40. And we have 8 ones, which have a value of 8. So, we have 200 + 40 + 8, which makes 248.
Great job! You have now learned the one’s place value, the ten’s place value and the hundred’s place value.
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1 – 11 Number Combinations (up to 3 digits)
Numbers can be combined many different ways. Now that you know the one’s, ten’s and hundred’s place values, you can now make different number combinations. Let me show you what I mean.
Let’s take a look at the number 34 using my handy little chart that shows the one’s and ten’s place.
Now, do you remember where the 4 goes? The 4 goes in the one’s place. Where does the 3 go? Great job! The 3 goes in the ten’s place.
What does the ones column say we need? Yes, we need 4 ones. So, let’s put 4 blocks in this column. 1, 2, 3, 4. Now, what does the tens column say? Very good! It says we need 3 tens. So, let’s put 3 groups of ten blocks in this column. 1, 2, 3.
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So, now let’s count all the blocks to see if we hear the number 34. Remember, we count by 10. Ready?
10, 20, 30, 31, 32, 33, 34
Great job! So, we have 3 tens, which have a value of 30. And we have 4 ones, which have a value of 4. So, we have 30 + 4, which makes 34.
So, that is the number 34 where we used the combination of 3 tens and 4 ones.
Now let’s make a different number combination for the number 34. Let’s move 1 of those tens over to the one’s place.
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Do you see how we have a different number combination now? If we count the blocks, the one’s column says we have 14 ones and the ten’s column says we have 2 tens. When we moved 1 ten over to the ones, we had to subtract 10 from the 30 in the ten’s column and add 10 to the 4 in the one’s column. Let’s add 2 tens, which is 20 to 14 ones, which is 14. So, 20 + 14 equals 34. It’s the same number, just a different number combination.
Let’s try another number, like 48. Ok, do you know where the 8 goes? Great, the 8 goes in the ones. Let’s go ahead and put 8 blocks there. Do you remember where the 4 goes? Right, the 4 goes in the tens. So, let’s put 4 groups of ten there.
So, now let’s count all the blocks to see if we hear the number 48. Ready?
10, 20, 30, 40, 41, 42, 43, 44, 45, 46, 47, 48
Great job! So, the number combination we have for 48 is 4 tens and 8 ones.
Now let’s make a different number combination for 48. Let’s move 1 of those tens over to the one’s place.
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Can you tell me what different number combination we made of 48? Great job! 3 tens and 18 ones.
If we count the blocks, the one’s column says we have 18 ones and the ten’s column says we have 3 tens. When we moved 1 ten over to the ones, we had to subtract 10 from the 40 in the ten’s column and add 10 to the 8 in the one’s column. Let’s add 3 tens, which is 30 to 18 ones, which is 18. So, 30 + 18 equals 48. It’s the same number, just a different number combination.
Let’s try one more, but this time with 3 digits. Let’s write a number combination for 123. The 3 goes in the one’s column and the 2 goes in the ten’s column. Do you remember where the 1 goes?
Very good! The 1 goes in the hundred’s column. So, we have 3 ones, 2 tens and 1 hundred.
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Now let’s make a different number combination for 123. Let’s move 1 hundreds over to the ten’s place.
Do you know what different number combination we made for 123? Awesome job! We now have 0 hundreds, 12 tens and 3 ones.
When we moved 1 group of 100 over to the ten’s place, that left nothing in the hundred’s column. Remember, 1 group of 100 equals 10 tens, so we had to add 10 tens to the 2 tens that was already there. What is 10 + 2? Right! 12. So we have 12 tens in the ten’s column now. The one’s column did not change, so we still have 3 ones.
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So, the first number combination for 123 was 1 hundred, 2 tens and 3 ones. The second number combination for 123 was 12 tens and 3 ones.
Great job! You know how to make different number combinations now! If you don’t fully understand then please go back and watch it again.
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1 – 12 The Role of Zero
This is the number zero.
The number zero is very important in math because it has many jobs to do and we are going to talk about two of them.
The first job zero has is to represent nothing.
For example, let’s say you have 3 cookies and you ate all of them. How many do you have left?
Right! Now, you have nothing left. You can also say you have zero cookies left.
The second job zero has is to be a place value holder.
To better explain this, let’s look at the number 1. In fact, many believe that the number one is the first number. What do you think? www.aplustutorsoft.com Page 55 of 134
Well, let’s look at an example. When someone wins a 100 meter race they say they won first place.
However, when the runners begin the 100 meter race, they start at 0 meters. So, really 0 is first.
Another example is where we start counting. We start counting with the number one.
However, let’s say we are counting pennies. We actually start with no pennies or zero pennies and count up from there saying 1 first. But zero is really the first number.
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Our number system is based on 10 numbers, starting with zero and ending with 9.
This is how we represent the numbers 0 through 9. Each square is worth 1, so 1 through 9 only has ones.
A ten has 10 ones grouped together like this.
The number 10 equals 1 ten and 0 ones.
The number 10 uses the numbers 0 and 1 combined to show it is bigger than 9 ones. But why does 1 come first and 0 second? Right, because a very important job 0 has is to be a place holder. Zero’s job is to tell the numbers 1-9 that 10 is bigger by moving the 1 over a place value to the ten’s place.
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Zero is also a place value holder for the numbers 20, 30, 40, 50 and so on. This is a really important job.
What if we put zero before the number. What does zero-one mean?
As long as it is just the numbers 01, it means 1. Why?
Well, let’s put zero-one in our place value chart. Zero goes in the ten’s column and 1 goes in the one’s column. How many squares do we have? Right, one!
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What does zero-seven mean?
Excellent job! Zero-seven is the same as 7.
We can check this by using our place value chart. Zero goes in the ten’s column and 7 goes in the one’s column. How many squares do we have? Right, seven!
What does seven-zero mean?
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Very good! Seven-zero is the same as 70.
We can check this by using our place value chart. Seven goes in the ten’s column and 0 goes in the one’s column. How many squares do we have? Right, seventy!
What if we put a 0 before 70, does it change the value?
Well, let’s add a column to the left in our place value chart for the zero. Did it change how many squares we have? No, great job! We still have 70.
Great job! If you need more practice, please go back and review this lesson again.
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1 – 13 Place Value for Larger Numbers
The first numbering system was invented by two Mathematicians from India in the 4th century, which are the years from 301 to 400. They introduced a numbering system based on the positions of a digit or the place value of a number within any number set, such as the position or place value of the number 3 in the number set 103.
Today, the most common numbering system uses the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. This modern number system is based on the power of 10. Any number can be written using a combination of these 10 numbers and each number in a number set has a special position or place value.
The place value is the value of the place a particular number has in a given number set. The place value of 3 in 103 is the one’s place.
Example #1: Let’s first find each number’s position or place value in the number set 654,321.
The 1 is the first digit on the far right and is in the one’s place. The 2 is the second digit from the right and is in the ten’s place. The 3 is the third digit from the right and is in the hundred’s place. The 4 is the fourth digit from the right and is in the thousand’s place. The 5 is the fifth digit from the right and is in the ten thousand’s place. The 6 is the sixth digit from the right and is in the hundred thousand’s place.
It is very important that you can say the place value of each number in a given number set. Each number in a number set represents a special value based on its position within the number set. Now, let’s use the same number above and find the value of each number’s position.
www.aplustutorsoft.com Page 61 of 134 Example #2: Let’s find the value of each number’s position or place value in the number set 654,321.
To find the number’s value, multiply the number by the place value. The one’s place means multiply by one. The ten’s place means multiply by ten. The hundred’s place means multiply by one hundred. The thousand’s place means multiply by one thousand. The ten thousand’s place means multiply by ten thousand. The one hundred thousand’s place means multiply by one hundred thousand. And so on.
So, continuing from Example #1:
The number 1 is in the one’s place, 1 x 1 = 1. The number 2 is in the ten’s place, 2 x 10 = 20. The number 3 is in the hundred’s place, 3 x 100 = 300. The number 4 is in the thousand’s place, 4 x 1,000 = 4,000. The number 5 is in the ten thousand’s place, 5 x 10,000 = 50,000. The number 6 is in the hundred thousand’s place, 6 x 100,000 = 600,000.
If we add all these numbers together, we would get 654,321.
Example #3: What place value does the number 9 have in the number set 64,892? If you answered the ten’s place, then you are correct! The number 9 is the second digit from the right in the ten’s place.
Example #4: What value does the number 9 have in the number set 64,892? If you answered 90, then you are correct! The number 9 is in the ten’s place, so you multiply 9 by 10 to get 90.
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Example #5: What place value does the number 4 have in the number set 64,892? If you answered the thousand’s place, then you are correct! The number 4 is the fourth digit from the right in the thousand’s place.
Example #6: What value does the number 4 have in the number set 64,892? If you answered 4,000 then you are correct! The number 4 is in the thousand’s place, so you multiply 4 by 1,000 to get 4,000.
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1 – 14 Number Combinations for Larger Numbers
In mathematics, there are many different ways numbers can be combined. It is important to understand place values when figuring different number combinations. 654,321 One’s Place Multiply by 1 Ten’s Place Multiply by 10 Hundred’s Place Multiply by 100 Thousand’s Place Multiply by 1,000 Ten Thousand’s Place Multiply by 10,000 Hundred Thousand’s Place Multiply by 100,000
Example #1: Let’s see some different combinations we can make out of 427. Combination #1: 4 hundreds, 2 tens and 7 ones Combination #2: 4 hundreds, 1 ten and 17 ones Combination #3: 3 hundreds, 12 tens and 7 ones Combination #4: 2 hundreds, 22 tens and 7 ones
Let’s take a closer look at how we came up with these number combinations.
Combination #1: 4 hundreds, 2 tens and 7 ones
This number combination is the easiest to figure out.
4 hundreds, so 4 is multiplied by 100. 4 x 100 = 400 2 tens, so 2 is multiplied by 10. 2 x 10 = 20 7 ones, so 7 is multiplied by 1. 7 x 1 = 7 Let’s add these together to see if we get 427. 400 + 20 + 7 = 427
So, 427 is the same as 4 hundreds, 2 tens and 7 ones.
Combination #2: 4 hundreds, 1 ten and 17 ones
This number combination is a little harder because we are taking away from one place value and adding it to another place value.
4 hundreds, so 4 is multiplied by 100. 4 x 100 = 400
www.aplustutorsoft.com Page 64 of 134 1 ten, so 1 is multiplied by 10. 1 x 10 = 10
17 ones, so 17 is multiplied by 1. 17 x 1 = 17
Note: 1 ten equals 10 ones, so we took away 1 ten from the ten’s place and added 10 ones to the one’s place.
Let’s add these together to see if we get 427. 400 + 10 + 17 = 427
So, 427 is the same as 4 hundreds, 1 ten and 17 ones.
Combination #3: 3 hundreds, 12 tens, and 7 ones
3 hundreds, so 3 is multiplied by 100. 3 x 100 = 300 12 tens, so 12 is multiplied by 10. 12 x 10 = 120
Note: 1 hundred equals 10 tens, so 1 hundred was taken from the hundreds place and 10 tens added to the ten’s place.
7 ones, so 7 is multiplied by 1. 7 x 1 = 7
Let’s add these together to see if we get 427. 300 + 120 + 7 = 427
So, 427 is the same as 3 hundreds, 12 tens and 7 ones.
Combination #4: 2 hundreds, 22 tens, and 7 ones
2 hundreds, so 2 is multiplied by 100. 2 x 100 = 200 22 tens, so 22 is multiplied by 10. 22 x 10 = 220
Note: 2 hundreds equals 20 tens, so 2 hundreds were taken from the hundred’s place and 20 tens added to the ten’s place.
7 ones, so 7 is multiplied by 1. 7 x 1 = 7
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Let’s add these together to see if we get 427. 200 + 220 + 7 = 427.
So, 427 is the same as 2 hundreds, 22 tens and 7 ones.
Now that you know how to make different number combinations based on place value, you can also learn how to say numbers differently.
Example #2: The following are two ways to write 1,256.
One thousand two hundred fifty-six Let’s check this. 1 thousand, so 1 is multiplied by 1,000. 1 x 1,000 = 1,000 2 hundreds, so 2 is multiplied by 100. 2 x 100 = 200 5 tens, so 5 is multiplied by 10. 5 x 10 = 50 6 ones, so 6 is multiplied by 1. 6 x 1 = 6 Now, let’s add them up. 1,000 + 200 + 50 + 6 = 1,256
Clearly, we can write 1,256 as one thousand two hundred fifty-six.
Twelve hundred fifty-six Let’s check this: 12 hundreds, so 12 is multiplied by 100. 12 x 100 = 1,200
Note: 1 thousand equals 10 hundreds, so 1 thousand was taken from the thousand’s place and 10 hundreds added to the hundred’s place.
5 tens, so 5 is multiplied by 10. 5 x 10 = 50 6 ones, so 6 is multiplied by 1. 6 x 1 = 6 Now, let’s add them up. 1,200 + 50 + 6 = 1,256
So, we can also write 1,256 as twelve hundred fifty-six.
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1 – 15 Defining and Grouping Whole Numbers
Whole Numbers: A whole number is any number, or integer, greater than or equal to zero. An integer is a number without a fractional part or decimal point. Any number in the following set of numbers is considered a whole number.
{0, 1, 2, 3, 4, 5, …}
Whole numbers are often called the “counting numbers”.
The number 1,543 is a whole number.
The number 12.5 is not a whole number because there is a decimal point in front of the number 5.
Grouping Large Numbers: When numbers get really large they can be harder to read. To make large numbers easier to read, we group the numbers by three starting from the right or the one’s place.
Example #1: Group the numbers in the number set 24675.
We group large numbers by separating sets of 3 numbers by commas. So, in the number 24675, we start on the right in the one’s place and count 3 places to the left and place a comma. So, a comma would be placed between the 4 and 6 in the number.
So, the number 24675 is written as 24,675.
Example #2: Group the numbers in the number set 675342?
Starting in the one’s place and counting 3 places to the left, the comma would be placed between the numbers 5 and 3.
So, the number 675342 is written as 675,342.
Example #3: Group the numbers in the number set 5872?
Starting in the one’s place and counting 3 places to the left, the comma would be placed between the numbers 5 and 8.
So the number 5872 is written as 5,872.
Example #4: Group the numbers in the number set 87654321.
www.aplustutorsoft.com Page 67 of 134 Starting in the one’s place and counting 3 places to the left, the comma would be placed between the numbers 4 and 3.
Now we have 87654,321. Do you see how we could put in another comma since we have more than 3 numbers in a row without a comma?
Counting 3 more places from our first comma, we can put another comma between the numbers 7 and 6.
So, the number 87654321 is written as 87,654,321.
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Worksheets
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www.aplustutorsoft.com Page 70 of 134 Name:
Worksheet 1 – Chapter 1.1 Identifying and Counting Numbers to 100
Q1. How many faces are here?
Your answer is:
Q2. How many cherries are here?
Your answer is:
Q3. How many coins are here?
Your answer is:
www.aplustutorsoft.com Page 71 of 134 Q4. How many circles are here?
Your answer is:
Q5. What is the numeral for this number word?
Nineteen
Your answer is:
Q6. What is the numeral for this number word?
Forty-nine
Your answer is:
Q7. What is the numeral for this number word?
Seventy-two
Your answer is:
Q8. What is the number word for this numeral? 39 A. Ninety-three B. Thirty-nine
www.aplustutorsoft.com Page 72 of 134 C. Three-nine D. Nine-three
Q9. What is the number word for this numeral? 58 A. Eight-five B. Eight-five C. Five-eight D. Fifty-eight
Q10. What is the number word for this numeral? 96 A. Ninety-six B. Nine-six C. Sixty-nine D. Six-nine
Q11. What number is missing?
Your answer is:
Q12. What number is missing?
Your answer is:
Q13. What number is missing?
www.aplustutorsoft.com Page 73 of 134 Your answer is:
Q14. What number is missing?
Your answer is:
Q15. What number is missing?
Your answer is:
Q16. What number is one more than 30?
Your answer is:
Q17. What number is one less than 70?
Your answer is:
www.aplustutorsoft.com Page 74 of 134 Q18. What number is one less than 90?
Your answer is:
Q19. What number is one more than 79?
Your answer is:
Q20. What number is one more than 84?
Your answer is:
www.aplustutorsoft.com Page 75 of 134 Name:
Worksheet 2 – Chapter 1.2 Identifying and Counting Numbers past 100
Q1. What number is missing?
Your answer is:
Q2. What number is missing?
Your answer is:
Q3. What number is missing?
Your answer is:
Q4. What number is missing?
Your answer is:
Q5. What number is missing?
Your answer is:
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Q6. How do you write this number? 199
A. One nine nine B. One hundred nine nine C. One hundred ninety-nine D. One hundred-ninety
Your answer is:
Q7. How do you write this number? 274 A. Two hundred seven four B. Two hundred seventy-four C. Two hundred forty-seven D. Two seventy-four
Your answer is:
Q8. How do you write this number? 519 A. Five nineteen B. Five hundred one nine C. Five hundred nineteen D. Five one nine
Your answer is:
Q9. What is the numeral for this number word?
Six hundred thirty-five
Your answer is: www.aplustutorsoft.com Page 77 of 134 Q10. What is the numeral for this number word?
Seven hundred fifty
Your answer is:
Q11. What is the missing number?
Your answer is:
Q12. What is the missing number?
Your answer is:
Q13. What is the missing number?
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Your answer is:
Q14. What is the missing number?
Your answer is:
Q15. What is the missing number?
Your answer is: www.aplustutorsoft.com Page 79 of 134
Q16. What is the missing number?
Your answer is:
Q17. What is the missing number?
Your answer is:
Q18. What is the missing number?
www.aplustutorsoft.com Page 80 of 134 Your answer is:
Q19. What is the missing number?
Your answer is:
Q20. What is the missing number?
Your answer is:
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Worksheet 3 – Chapter 1.3 One More, One Less
Q1. What number is one more than 9?
Your answer is:
Q2. What number is one more than 17?
Your answer is:
Q3. What number is one more than 30?
Your answer is:
Q4. What number is one more than 38?
Your answer is:
Q5. What number is one more than 59?
Your answer is:
Q6. What number is one less than 70?
Your answer is:
Q7. What number is one less than 87?
Your answer is:
Q8. What number is one less than 100?
Your answer is:
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Q9. What number is one less than 90?
Your answer is:
Q10. What number is one less than 89?
Your answer is:
Q11. What number is one less than 74?
Your answer is:
Q12. What number is one more than 79?
Your answer is:
Q13. What number is one more than 84?
Your answer is:
Q14. What number is one less than 21?
Your answer is:
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Worksheet 4 – Chapter 1.4 Find 10 More
Q1. What is 10 more than 4?
Your answer is:
Q2. What is 10 more than 9?
Your answer is:
Q3. What is 10 more than 16?
Your answer is:
Q4. What is 10 more than 19?
Your answer is:
Q5. What is 10 more than 28?
Your answer is:
Q6. What is 10 more than 35?
Your answer is:
Q7. What is 10 more than 39?
Your answer is:
Q8. What is 10 more than 46?
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Your answer is:
Q9. What is 10 more than 53?
Your answer is:
Q10. What is 10 more than 67?
Your answer is:
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Worksheet 5 – Chapter 1.5 Number Types
Q1. Which picture shows a nominal number?
A. B.
C. D. All of the above
Your answer is:
Q2. Which picture shows a cardinal number?
A. B.
C. D. All of the above
Your answer is:
Q3. Which picture shows an ordinal number?
A. B.
C. D. All of the above
Your answer is:
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Q4. “I am in 1st grade” is an example of what number type? A. Cardinal B. Ordinal C. Nominal D. None of the above
Your answer is:
Q5. “I have 25 pennies in my piggy bank” is an example of what number type? A. Cardinal B. Ordinal C. Nominal D. None of the above
Your answer is:
Q6. “I live on 1082 Berrywood Drive” is an example of what number type? A. Cardinal B. Ordinal C. Nominal D. None of the above
Your answer is:
Q7. “My phone number is 317-661-7867” is an example of what number type? A. Cardinal B. Ordinal C. Nominal D. None of the above
Your answer is:
Q8. “I came 1st in a spelling competition” is an example of what number type? www.aplustutorsoft.com Page 87 of 134
A. Cardinal B. Ordinal C. Nominal D. None of the above
Your answer is:
Q9. “I have 12 fish in my fish tank” is an example of what number type? A. Cardinal B. Ordinal C. Nominal D. None of the above
Your answer is:
Q10. Which ordinal number shows the position of the ice cream cone?
A. 4th B. 6th C. 7th D. 9th
Your answer is:
Q11. Which picture shows a nominal number?
A. B.
C. D. All of the above
Your answer is:
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Q12. Which picture shows a cardinal number?
A. B.
C. D. All of the above
Your answer is:
Q13. Which picture shows an ordinal number?
A. B.
C. D. All of the above
Your answer is:
Q14. “My sister wears jersey #18” is an example of what number type? A. Cardinal B. Ordinal C. Nominal D. None of the above
Your answer is:
Q15. “My brother gave me 12 nickels” is an example of what number type? A. Cardinal B. Ordinal C. Nominal D. None of the above
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Worksheet 6 – Chapter 1.6 Number Forms
Q1. Which form is used to represent the following number?
A. Place Value Block Form B. Standard Form C. Expanded Form D. Word Form
Your answer is:
Q2. Which form is used to represent the following number? Nine hundred thirty-four
A. Place Value Block Form B. Standard Form C. Expanded Form D. Word Form
Your answer is:
Q3. Which form is used to represent the following number? 400 + 20 + 5
A. Place Value Block Form B. Standard Form C. Expanded Form D. Word Form
Your answer is:
www.aplustutorsoft.com Page 90 of 134 Q4. Which form is used to represent the following number? 308 A. Place Value Block Form B. Standard Form C. Expanded Form D. Word Form
Your answer is:
Q5. Which form is used to represent the following number? Six thousand twenty-two
A. Place Value Block Form B. Standard Form C. Expanded Form D. Word Form
Your answer is:
Q6. Which form is used to represent the following number? 2,910 A. Place Value Block Form B. Standard Form C. Expanded Form D. Word Form
Your answer is:
Q7. Which form is used to represent the following number? 8,000 + 900 + 40 + 2 A. Place Value Block Form B. Standard Form C. Expanded Form D. Word Form www.aplustutorsoft.com Page 91 of 134
Your answer is:
Q8. Which form is used to represent the following number?
A. Place Value Block Form B. Standard Form C. Expanded Form D. Word Form
Your answer is:
Q9. Which form is used to represent the following number? Eight hundred six
A. Place Value Block Form B. Standard Form C. Expanded Form D. Word Form
Your answer is:
Q10. Which form is used to represent the following number? 7,004 A. Place Value Block Form B. Standard Form www.aplustutorsoft.com Page 92 of 134 C. Expanded Form D. Word Form
Your answer is:
Q11. Which form is used to represent the following number? 3,000 + 200 + 70 + 6
A. Place Value Block Form B. Standard Form C. Expanded Form D. Word Form
Your answer is:
Q12. Which form is used to represent the following number?
A. Place Value Block Form B. Standard Form C. Expanded Form D. Word Form
Your answer is:
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Worksheet 7 – Chapter 1.7 Even and Odd Numbers
Q1. Which choice best describes the following number set? 17, 19, 25, 29, 35 A. Even B. Odd C. Both even and odd D. None of the above
Your answer is:
Q2. Which choice best describes the following number set? 14, 20, 26, 32, 38 A. Even B. Odd C. Both even and odd D. None of the above
Your answer is:
Q3. Which choice best describes the following number? 29 A. Even B. Odd C. Neither even nor odd D. None of the above
Your answer is:
Q4. Which choice best describes the following number? 48 A. Even B. Odd C. Neither even nor odd D. None of the above www.aplustutorsoft.com Page 94 of 134 Your answer is:
Q5. Which choice best describes the following number? 96 A. Even B. Odd C. Neither even nor odd D. None of the above
Your answer is:
Q6. Which choice best describes the following number? 67 A. Even B. Odd C. Neither even nor odd D. None of the above
Your answer is:
Q7. Which of the following numbers is an odd number? A. 59 B. 78 C. 86 D. 98
Your answer is:
Q8. Which of the following numbers is an odd number? A. 70 B. 78 C. 83 D. 98
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Q9. Which of the following numbers is an even number? A. 96 B. 78 C. 86 D. All of the above
Your answer is:
Q10. Which of the following numbers is an odd number? A. 75 B. 87 C. 99 D. All of the above
Your answer is:
Q11. Which of the following numbers is an odd number? A. 63 B. 78 C. 86 D. 98
Your answer is:
Q12. Which of the following numbers is an even number? A. 71 B. 69 C. 88 D. 95
Your answer is:
Q13. Which of the following numbers is an odd number? A. 33 B. 78 www.aplustutorsoft.com Page 96 of 134
C. 80 D. 96
Your answer is:
Q14. Which of the following numbers is an even number? A. 71 B. 78 C. 83 D. 99
Your answer is:
Q15. Which of the following numbers is an odd number? A. 78 B. 88 C. 92 D. None of the above
Your answer is:
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Worksheet 8 – Chapter 1.8 Introduction to Place Values
Q1. What does the number 7 in 67 mean? A. 7 tens B. 7 ones C. 6 tens D. 6 ones
Your answer is:
Q2. What does the number 6 in 67 mean? A. 7 tens B. 7 ones C. 6 tens D. 6 ones
Your answer is:
Q3. What does the number 9 in 49 mean? A. 4 tens B. 4 ones C. 9 tens D. 9 ones
Your answer is:
Q4. What does the number 4 in 49 mean? A. 4 tens B. 4 ones C. 9 tens D. 9 ones
Your answer is:
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Q5. What is the value of the number 8 in 38? A. 8 tens B. 8 C. 80 D. 3 tens
Your answer is:
Q6. What is the value of the number 4 in 48? A. 4 ones B. 8 C. 80 D. 4 tens
Your answer is:
Q7. What is the value of the number 1 in 19? A. 10 B. 1 C. 10 tens D. 9 ones
Your answer is:
Q8. What is the value of the number 8 in 83? A. 3 ones B. 3 C. 80 D. 8 ones
Your answer is:
Q9. Which number is in the one’s place? 57 www.aplustutorsoft.com Page 99 of 134
A. 7 B. 5 C. 57 D. None of the above
Your answer is:
Q10. Which number is in the ten’s place? 57 A. 7 B. 5 C. 57 D. None of the above
Your answer is:
Q11. Which number is in the ten’s place? 98 A. 9 B. 8 C. 98 D. None of the above
Your answer is:
Q12. Which number is in the one’s place? 98 A. 9 B. 8 C. 98 D. None of the above
Your answer is:
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Worksheet 9 – Chapter 1.9 Identifying Ones and Tens in Numbers
Q1. How many ones are in the number 28? A. 2 B. 8 C. 20 D. None of the above
Your answer is:
Q2. How many tens are in the number 28? A. 2 B. 8 C. 20 D. None of the above
Your answer is:
Q3. How many ones are in the number 79? A. 9 B. 7 C. 70 D. None of the above
Your answer is:
Q4. How many tens are in the number 79? A. 9 B. 7 C. 70 D. None of the above
Your answer is:
Q5. How many tens are in the number 63? www.aplustutorsoft.com Page 101 of 134
A. 3 B. 6 C. 60 D. 30
Your answer is:
Q6. How many tens are in the number 88? A. 8 B. 80 C. 88 D. None of the above
Your answer is:
Q7. Which number is in the one’s place? 35 A. 3 B. 5 C. 35 D. None of the above
Your answer is:
Q8. Which number is in the ten’s place? 39 A. 3 B. 9 C. 39 D. None of the above
Your answer is:
Q9. What number is shown in the following place value chart? www.aplustutorsoft.com Page 102 of 134
Your answer is:
Q10. What number is shown in the following place value chart?
Your answer is:
Q11. What number is shown in the following place value chart?
Your answer is:
Q12. What number is shown in the following place value chart?
Your answer is:
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Worksheet 10 – Chapter 1.10 Place Values for 3-digit Numbers
Q1. What does the number 8 in 857 mean? A. 857 B. 8 hundreds C. 8 tens D. 8 ones
Your answer is:
Q2. What does the number 5 in 584 mean? A. 584 B. 5 ones C. 5 tens D. 5 hundreds
Your answer is:
Q3. What is the value of the number 7 in 783? A. 7 B. 70 C. 700 D. 7 tens
Your answer is:
Q4. What is the value of the number 9 in 948? A. 9 B. 90 C. 9 tens D. 900
Your answer is:
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Q5. How many hundreds are in the number 876? A. 7 B. 6 C. 8 D. 76
Your answer is:
Q6. How many hundreds are in the number 986? A. 6 B. 8 C. 900 D. 9
Your answer is:
Q7. What is this number?
Your answer is:
Q8. What is this number?
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Your answer is:
Q9. What is this number?
Your answer is:
Q10. What is this number?
Your answer is:
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Worksheet 11 – Chapter 1.11 Number Combinations (up to 3 digits)
Q1. Which one is a different number combination for the number 25?
A. B. C. D. All of the above
Your answer is:
Q2. Which one is a different number combination for the number 38?
A. B. C. D. All of the above
Your answer is:
Q3. Which one is a different number combination for the number 144?
A. B.
C. D. All of the above
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Your answer is:
Q4. Which one is a different number combination for the number 34?
A. B. C. D. All of the above
Your answer is:
Q5. Which one is a different number combination for the number 235?
A. B.
C. D. All of the above
Your answer is:
Q6. Which one is a different number combination for the number 63?
A. B. C. D. All of the above
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Q7. Which one is a different number combination for the number 42?
A. B. C. D. All of the above
Your answer is:
Q8. Which one is a different number combination for the number 317?
A. B.
C. D. All of the above
Your answer is:
Q9. Which one is a different number combination for the number 57?
A. B. C. D. All of the above
Your answer is:
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Q10. Which one is a different number combination for the number 423?
A. B.
C. D. All of the above
Your answer is:
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Worksheet 12 – Chapter 1.12 The Role of Zero
Q1. What is the value of this number? 09 A. 9 B. 90 C. 0 D. None of the above
Your answer is:
Q2. What is the value of this number? 009 A. 9 B. 90 C. 900 D. None of the above
Your answer is:
Q3. What is the value of this number? 090 A. 9 B. 90 C. 0 D. None of the above
Your answer is:
Q4. What is the value of this number? 002 A. 2 B. 20 C. 200 D. None of the above www.aplustutorsoft.com Page 111 of 134
Your answer is:
Q5. What is the value of this number? 014 A. 0 B. 14 C. 41 D. None of the above
Your answer is:
Q6. What is the value of this number? 088 A. 88 B. 8 C. 0 D. None of the above
Your answer is:
Q7. What is the value of this number? 70 A. 7 B. 70 C. 0 D. None of the above
Your answer is:
Q8. What is the value of this number? 070 A. 7 B. 70 C. 0 D. None of the above www.aplustutorsoft.com Page 112 of 134
Your answer is:
Q9. What is the value of this number? 001 A. 1 B. 10 C. 100 D. None of the above
Your answer is:
Q10. What is the value of this number? 0100 A. 1 B. 10 C. 100 D. None of the above
Your answer is:
Q11. What is the value of this number? 072 A. 7 B. 2 C. 72 D. 27
Your answer is:
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Worksheet 13 – Chapter 1.13 Place Value for Larger Numbers
Q1. In our numbering system, what is the “place value”? A. It tells you how many times a number must be multiplied by itself. B. It tells you how many times a number must be added to itself. C. It helps you determine if a number is a whole number. D. It is the value of the place a particular number has in a given number set.
Your answer is:
Q2. What place value does the number 7 have in the number 5,736? A. The one’s place B. The ten’s place C. The hundred’s place D. The thousand’s place
Your answer is:
Q3. What place value does the number 0 have in the number 4,320? A. The one’s place B. The ten’s place C. The hundred’s place D. The thousand’s place
Your answer is:
Q4. What place value does the number 6 have in the number 6,983? A. The one’s place B. The ten’s place C. The hundred’s place D. The thousand’s place
Your answer is:
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Q5. What value does the number 7 have in the number 5,736? A. 7 B. 70 C. 700 D. 7,000
Your answer is:
Q6. What value does the number 0 have in the number 4,320? A. 0 B. 10 C. 100 D. 1,000
Your answer is:
Q7. What value does the number 6 have in the number 6,983? A. 6 B. 60 C. 600 D. 6,000
Your answer is:
Q8. Which of the following represents the number 23,496 in expanded form? A. 23,000 + 3,000 + 400 + 90 + 6 B. 20,000 + 3,000 + 400 + 90 + 6 C. 20,000 + 3,000 + 400 + 10 + 6 D. 20,000 + 3,000 + 400 + 90 + 16
Your answer is:
www.aplustutorsoft.com Page 115 of 134 Q9. Which of the following represents the number 40,385 in expanded form? A. 40,000 + 3,000 + 80 + 5 B. 40,000 + 380 + 5 C. 4,000 + 300 + 80 + 5 D. 40,000 + 300 + 80 + 5
Your answer is:
Q10. Which of the following represents the number 73,297 in expanded form? A. 70,000 + 3,000 + 200 + 90 + 7 B. 70,000 + 3,000 + 200 + 97 C. 73,000 + 200 + 90 + 7 D. 70,000 + 300 + 200 + 90 + 7
Your answer is:
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Worksheet 14 – Chapter 1.14 Number Combinations for Larger Numbers
Q1. What is the correct number combination for 629? A. 6 hundreds, 12 tens, 9 ones B. 5 hundreds, 12 tens, 9 ones C. 6 hundreds, 12 tens, 9 ones D. 6 hundreds, 3 tens, 1 one
Your answer is:
Q2. What is the correct number combination for 384? A. 4 hundreds, 8 tens, 4 ones B. 2 hundreds, 28 tens, 4 ones C. 3 hundreds, 8 tens, 4 ones D. 3 hundreds, 84 tens, 0 ones
Your answer is:
Q3. What is the correct number combination for 5,315? A. 5 thousands, 3 tens, 15 ones B. 5 thousands, 30 hundreds, 15 ones C. 4 thousands, 13 hundreds, 15 ones D. 5 thousands, 3 hundreds, 15 tens
Your answer is:
Q4. What is the correct number combination for 4,862? A. 4 thousands, 7 hundreds, 16 tens, 2 ones B. 3 thousands, 8 hundreds, 16 tens, 2 ones C. 4 thousands, 8 hundreds, 2 ones D. 4 thousands, 80 hundreds, 62 ones
Your answer is:
www.aplustutorsoft.com Page 117 of 134 Q5. What is the correct number combination for 8,504? A. 8 thousands, 15 hundreds, 4 ones B. 8 thousands, 4 hundreds, 104 ones C. 7 thousands, 5 hundreds, 4 ones D. 8 thousands, 5 tens, 4 ones
Your answer is:
Q6. Which of the following choices is one way to write 5,315 in word form? A. 53,315 B. Fifty-three thousand, fifteen C. Fifty-three hundred fifteen D. 50,000 + 3,000 + 10 + 5
Your answer is:
Q7. Which of the following choices is one way to write 4,862 in word form? A. Forty-eight hundred sixty-two B. 4,000 + 800 +60 + 2 C. 4,862 D. Forty-eight thousand sixty-two
Your answer is:
Q8. Which of the following choices is one way to write 8,504 in word form? A. 8,504 B. 8,000 + 500 + 4 C. Eighty-five hundred thousand, four D. Eighty-five hundred, four
Your answer is:
www.aplustutorsoft.com Page 118 of 134 Q9. Which of the following choices is one way to write 7,321 in word form? A. Seventy-three hundred, twenty-one B. 7,000 + +300 + 20 + 1 C. Seventy-three thousand twenty-one D. 7,321
Your answer is:
Q10. Which of the following choices is one way to write 1,953 in word form? A. 1,000 + 900+ 50+ 3 B. Nineteen hundred, fifty-three C. Nineteen thousand, fifty-three D. 1,953
Your answer is:
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Worksheet 15 – Chapter 1.15 Defining and Grouping Whole Numbers
Q1. What is a whole number? A. A whole number is any number, or integer, less than or equal to zero. B. A whole number is any number, or integer, greater than but not equal to zero C. A whole number is any number, or integer, less than zero. D. A whole number is any number, or integer, greater than or equal to zero.
Your answer is:
Q2. Which of the following is a whole number? A. 598.1 B. 59.81 C. 5,981 D. None of the above
Your answer is:
Q3. Which of the following is not a whole number? A. 5,800 B. 58 C. 0 D. None of the above
Your answer is:
Q4. Which of the following is a whole number? A. 46.31 B. 7,917 C. 52.7 D. 0.1
Your answer is:
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Q5. Which of the following is not a whole number? A. 2,741 B. 8,902 C. 46.17 D. 5,200
Your answer is:
Q6. Which of the following is not a whole number? A. 25.7 B. 87 C. 396 D. 312
Your answer is:
Q7. How would you group the number 4856217? A. 4,856,217 B. 48,562,17 C. 48,56,217 D. 4856217
Your answer is:
Q8. How would you group the number 590031? A. 59,0031 B. 5,90,031 C. 590,031 D. 5900,31
Your answer is:
www.aplustutorsoft.com Page 121 of 134 Q9. How would you group the number 54867002? A. 5,4867,002 B. 548,67,002 C. 54,867,002 D. 5,48670,02
Your answer is:
Q10. How would you group the number 734956? A. 73,495,6 B. 7,34,956 C. 7,34,95,6 D. 734,956
Your answer is:
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Worksheets Answers Key
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Worksheet 1 – Chapter 1.1 Identifying and Counting Numbers to 100
Q1. The correct answer is 30. Q2. The correct answer is 21. Q3. The correct answer is 64. Q4. The correct answer is 43. Q5. The correct answer is 19. Q6. The correct answer is 49. Q7. The correct answer is 72. Q8. B. Thirty-nine Q9. D. Fifty-eight Q10. A. Ninety-six
Q11. The correct answer is 27. Q12. The correct answer is 69. Q13. The correct answer is 86. Q14. The correct answer is 59. Q15. The correct answer is 87. Q16. The correct answer is 31. Q17. The correct answer is 69. Q18. The correct answer is 89. Q19. The correct answer is 80. Q20. The correct answer is 85.
Worksheet 2 – Chapter 1.2 Identifying and Counting Numbers past 100
Q1. The correct answer is 124. Q2. The correct answer is 190. Q3. The correct answer is 265. Q4. The correct answer is 362. Q5. The correct answer is 475. Q6. C. One hundred ninety-nine Q7. B. Two hundred seventy-four Q8. C. Five hundred nineteen Q9. The correct answer is 635. Q10. The correct answer is 750.
Q11. The correct answer is 655. Q12. The correct answer is 689. www.aplustutorsoft.com Page 125 of 134
Q13. The correct answer is 536. Q14. The correct answer is 563. Q15. The correct answer is 769. Q16. The correct answer is 794. Q17. The correct answer is 825. Q18. The correct answer is 898. Q19. The correct answer is 948. Q20. The correct answer is 998.
Worksheet 3 – Chapter 1.3 One More, One Less
Q1. The correct answer is 10. Q2. The correct answer is 18. Q3. The correct answer is 31. Q4. The correct answer is 39. Q5. The correct answer is 60. Q6. The correct answer is 69. Q7. The correct answer is 86. Q8. The correct answer is 99. Q9. The correct answer is 89. Q10. The correct answer is 88.
Q11. The correct answer is 73. Q12. The correct answer is 80. Q13. The correct answer is 85. Q14. The correct answer is 20.
Worksheet 4 – Chapter 1.4 Find 10 More
Q1. The correct answer is 14. Q2. The correct answer is 19. Q3. The correct answer is 26. Q4. The correct answer is 29. Q5. The correct answer is 38. Q6. The correct answer is 45. Q7. The correct answer is 49. Q8. The correct answer is 56. Q9. The correct answer is 63. Q10. The correct answer is 77.
www.aplustutorsoft.com Page 126 of 134 Worksheet 5 – Chapter 1.5 Number Types
Q1. B.
Q2. C.
Q3. A.
Q4. B. Ordinal Q5. A. Cardinal Q6. C. Nominal Q7. C. Nominal Q8. B. Ordinal Q9. A. Cardinal Q10. C. 7th
Q11. The correct answer is choice D. Q12. B.
Q13. D. All of the above Q14. C. Nominal Q15. A. Cardinal
Worksheet 6 – Chapter 1.6 Number Forms
Q1. A. Place Value Block Form Q2. D. Word Form Q3. C. Expanded Form Q4. B. Standard Form www.aplustutorsoft.com Page 127 of 134 Q5. D. Word Form Q6. B. Standard Form Q7. C. Expanded Form Q8. A. Place Value Block Form Q9. D. Word Form Q10. B. Standard Form Q11. C. Expanded Form Q12. A. Place Value Block Form
Worksheet 7 – Chapter 1.7 Even and Odd Numbers
Q1. B. Odd Q2. A. Even Q3. B. Odd Q4. A. Even Q5. A. Even Q6. B. Odd Q7. A. 59 Q8. C. 83 Q9. D. All of the above Q10. D. All of the above
Q11. A. 63 Q12. C. 88 Q13. A. 33 Q14. B. 78 Q15. D. None of the above
Worksheet 8 – Chapter 1.8 Introduction to Place Values
Q1. B. 7 ones Q2. C. 6 tens Q3. D. 9 ones Q4. A. 4 tens Q5. B. 8 Q6. D. 4 tens Q7. A. 10 Q8. C. 80 Q9. A. 7 Q10. B. 5 www.aplustutorsoft.com Page 128 of 134 Q11. A. 9 Q12. B. 8
Worksheet 9 – Chapter 1.9 Identifying Ones and Tens in Numbers
Q1. B. 8 Q2. A. 2 Q3. A. 9 Q4. B. 7 Q5. B. 6 Q6. A. 8 Q7. B. 5 Q8. A. 3 Q9. The correct answer is 42. Q10. The correct answer is 18. Q11. The correct answer is 96. Q12. The correct answer is 84.
Worksheet 10 – Chapter 1.10 Place Values for 3-digit Numbers
Q1. B. 8 hundreds Q2. D. 5 hundreds Q3. C. 700 Q4. D. 900 Q5. C. 8 Q6. D. 9 Q7. The correct answer is 366. Q8. The correct answer is 437. Q9. The correct answer is 343. Q10. The correct answer is 595.
Worksheet 11 – Chapter 1.11 Number Combinations (up to 3 digits)
Q1. B.
Q2. D. All of the above www.aplustutorsoft.com Page 129 of 134 Q3. B.
Q4. B.
Q5. A.
Q6. B.
Q7. C.
Q8. C.
Q9. C.
www.aplustutorsoft.com Page 130 of 134 Q10. D. All of the above
Worksheet 12 – Chapter 1.12 The Role of Zero
Q1. A. 9 Q2. A. 9 Q3. B. 90 Q4. A. 2 Q5. B. 14 Q6. A. 88 Q7. B. 70 Q8. B. 70 Q9. A. 1 Q10. C. 100 Q11. C. 72
Worksheet 13 – Chapter 1.13 Place Value for Larger Numbers
Q1. D. It is the value of the place a particular number has in a given number set. Q2. C. The hundred’s place Q3. A. The one’s place Q4. D. The thousand’s place Q5. C. 700 Q6. A. 0 Q7. D. 6,000 Q8. B. 20,000 + 3,000 + 400 + 90 + 6 Q9. D. 40,000 + 300 + 80 + 5 Q10. A. 70,000 + 3,000 + 200 + 90 + 7
Worksheet 14 – Chapter 1.14 Number Combination for Larger Numbers
Q1. B. 5 hundreds, 12 tens, 9 ones Q2. C. 3 hundreds, 8 tens, 4 ones Q3. C. 4 thousands, 13 hundreds, 15 ones Q4. A. 4 thousands, 7 hundreds, 16 tens, 2 ones Q5. B. 8 thousands, 4 hundreds, 104 ones Q6. C. Fifty-three hundred fifteen Q7. A. Forty-eight hundred sixty-two Q8. D. Eighty-five hundred, four Q9. A. Seventy-three hundred, twenty-one Q10. B. Nineteen hundred, fifty-three www.aplustutorsoft.com Page 131 of 134 Worksheet 15 – Chapter 1.15 Defining and Grouping Whole Numbers
Q1. D. A whole number is any number, or integer, greater than or equal to zero. Q2. C. 5,981 Q3. D. None of the above Q4. B. 7,917 Q5. C. 46.17 Q6. A. 25.7 Q7. A. 4,856,217 Q8. C. 590,031 Q9. C. 54,867,002 Q10. D. 734,956
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