What Is the Expanded Form of Each Number?

Multiple Choice Identify the choice that best completes the statement or answers the question.

What is the expanded form of each number?

____ 1. two hundred four thousand, seventy-one a. 200,000 + 4,000 + 700 + 1 c. 20,000 + 4,000 + 70 + 1 b. 200,000 + 4,000 + 70 + 1 d. 200,000 + 40,000 + 700 + 10

____ 2. five hundred thirty thousand, eight hundred sixty a. 500,000 + 30,000 + 800 + 60 c. 500,000 + 30,000 + 8,000 + 6 b. 50,000 + 3,000 + 800 + 60 d. 5,000 + 300 + 80 + 6

What is the standard form of each number?

____ 3. 90,000 + 8,000 + 400 + 30 a. 980,430 c. 98,430 b. 98,043 d. 9,843

____ 4. 800,000 + 60,000 + 900 + 10 + 7 a. 860,917 c. 869,170 b. 806,917 d. 86,917

What is the word form of each number?

____ 5. 2,609,456 a. two million, six hundred nine thousand, four hundred fifty-six b. two million, six hundred ninety thousand, four hundred fifty-six c. two hundred sixty-nine thousand, four hundred fifty-six d. twenty-six million, nine thousand, four hundred fifty-six

What is the expanded form of each number?

____ 6. three hundred two million, twenty-three a. 300,000 + 2,000 + 20 + 3 b. 300,000,000 + 2,000,000 + 20 + 3 c. 300,000,000 + 2,000,000 + 200 + 30 d. 300,000,000 + 20,000,000 + 200 + 3

Solve. Use the four-step plan.

____ 7. Chandler writes a news letter for Ms. Oliver’s fourth grade class. Every Friday he prints 21 news letters to hand out to his classmates. How many news letters did he print in February if there were 4 Fridays? a. 42 c. 74 b. 48 d. 84

____ 8. If one person can wash 2 cars in an 1 hour, how many hours would it take for two people to wash 8 cars? a. 3 hours c. 4 hours b. 8 hours d. 2 hours

____ 9. Gustavo went bowling on Friday night. Each game costs 4 dollars. He spent 16 dollars. How many games did he bowl? a. 2 c. 4 b. 3 d. 5

Solve. Choose the best strategy to solve the problem.

____ 10. There are 24 juice cans in a case of juice. Juan’s mom bought 3 cases for his birthday party. How many juices are there in all? a. 24 c. 72 b. 48 d. 60

Short Answer

Write each answer in standard form and word form.

11. A car weighs 2,980 pounds. The driver of the car weighs 165 pounds. What is the combined weight of the car and the driver?

Compare. Write a number sentence for the situation.

12. There are 12,504 gallons of water in a pond during springtime. During summer there are 1,500 fewer gallons of water. How many gallons of water are in the pond during summer? Write a number sentence that compares gallons of water during spring and summer.

Solve. Order the numbers.

13. Use the digits 1, 2, and 3 to make six different three-digit numbers. No number can use the same digit twice. Order the numbers from greatest to least.

14. Write three numbers that are greater than 100,000 but less than 200,000. Order them from least to greatest.

Solve and round to the given place-value position.

15. Bryant has a language dictionary that has Spanish and French translated into English. There are 22,492 Spanish words and 20,010 French words that are translated. How many total Spanish and French words are in the dictionary? Round the number of foreign words to the thousands place.

Essay 16. What is an example of a real world situation in which you would order numbers from greatest to least?

17. The teacher wrote 1,234,567 on the white board and asked the class to round it to the ten thousands place. Spencer wrote 1,240,000 in his notebook. Explain the error that Spencer made. Math Answer Section

MULTIPLE CHOICE

1. ANS: B PTS: 1 DIF: Average REF: Lesson 1-1 OBJ: 1-1.3 Read whole numbers in word form and write in standard form and expanded form to hundred thousands NAT: G4-FP8C TOP: Place Value Through Hundred Thousands KEY: Standard form, Expanded form 2. ANS: A PTS: 1 DIF: Average REF: Lesson 1-1 OBJ: 1-1.3 Read whole numbers in word form and write in standard form and expanded form to hundred thousands NAT: G4-FP8C TOP: Place Value Through Hundred Thousands KEY: Standard form, Expanded form 3. ANS: C PTS: 1 DIF: Average REF: Lesson 1-1 OBJ: 1-1.4 Read whole numbers in expanded form and write in word form and standard form to hundred thousands NAT: G4-FP8C TOP: Place Value Through Hundred Thousands KEY: Word form, Standard form 4. ANS: A PTS: 1 DIF: Average REF: Lesson 1-1 OBJ: 1-1.4 Read whole numbers in expanded form and write in word form and standard form to hundred thousands NAT: G4-FP8C TOP: Place Value Through Hundred Thousands KEY: Word form, Standard form 5. ANS: A PTS: 1 DIF: Average REF: Lesson 1-2 OBJ: 1-2.1 Read whole numbers in standard form and write in word form and expanded form through the millions NAT: G4-FP8C TOP: Place Value Through Millions KEY: Word form, Expanded form 6. ANS: B PTS: 1 DIF: Average REF: Lesson 1-2 OBJ: 1-2.2 Read whole numbers in word form and write in standard form and expanded form through the millions NAT: G4-FP8C TOP: Place Value Through Millions KEY: Standard form, Expanded form 7. ANS: D PTS: 1 DIF: Average REF: Lesson 1-3 OBJ: 1-3.1 Use the four-step problem-solving plan to solve problems NAT: G4-FP8C TOP: Problem-Solving Skill: The Four-Step Plan KEY: Four-step plan 8. ANS: D PTS: 1 DIF: Average REF: Lesson 1-3 OBJ: 1-3.1 Use the four-step problem-solving plan to solve problems NAT: G4-FP8C TOP: Problem-Solving Skill: The Four-Step Plan KEY: Four-step plan 9. ANS: C PTS: 1 DIF: Average REF: Lesson 1-3 OBJ: 1-3.1 Use the four-step problem-solving plan to solve problems NAT: G4-FP8C TOP: Problem-Solving Skill: The Four-Step Plan KEY: Four-step plan 10. ANS: C PTS: 1 DIF: Average REF: Lesson 1-7 OBJ: 1-7.1 Choose the best strategy to solve a problem NAT: G4-FP8C STA: 4.5.E TOP: Problem-Solving Investigation: Choose a Strategy KEY: Choose strategy

SHORT ANSWER 11. ANS: 3,145 pounds three thousand, one hundred forty-five pounds

PTS: 1 DIF: Average REF: Lesson 1-1 OBJ: 1-1.5 Read and write whole numbers to hundred thousands - Solve multi-step problems NAT: G4-FP8C STA: 4.1.E TOP: Place Value Through Hundred Thousands KEY: Place value 12. ANS: 12,504 1,500 = 11,004 gallons in summer 11,004 < 12,504

PTS: 1 DIF: Average REF: Lesson 1-4 OBJ: 1-4.2 Compare whole numbers - Solve multi-step problems NAT: G4-FP8C STA: 3.4.A TOP: Compare Whole Numbers KEY: Compare 13. ANS: 321, 312, 231, 213, 132, 123

PTS: 1 DIF: Average REF: Lesson 1-5 OBJ: 1-5.2 Order whole numbers through the millions - Solve multi-step problems NAT: G4-FP8C STA: 3.4.A TOP: Order Whole Numbers KEY: Order 14. ANS: Possible answer: 111,407; 132,625; 182,107

PTS: 1 DIF: Average REF: Lesson 1-5 OBJ: 1-5.2 Order whole numbers through the millions - Solve multi-step problems NAT: G4-FP8C STA: 3.4.A TOP: Order Whole Numbers KEY: Order 15. ANS: 22,492 + 20,010 = 42,502 total foreign words 42,502 rounded to the thousands place is 43,000 foreign words.

PTS: 1 DIF: Average REF: Lesson 1-6 OBJ: 1-6.2 Round whole numbers through the millions - Solve multi-step problems NAT: G4-FP8C STA: 3.4.F TOP: Round Whole Numbers KEY: Rounding

16. ANS: Example: The school photographer needed to photograph the largest classes first because his assistant needed to go home early. The photographer asked the principal to send him classes in order from the greatest to the least number of students.

PTS: 1 DIF: Advanced REF: Lesson 1-5 OBJ: 1-5.3 Order whole numbers through the millions - Show solutions NAT: G4-FP8C STA: 3.4.A TOP: Order Whole Numbers KEY: Order 17. ANS: Spencer rounded to the correct place value but because the value to the right of the tens thousand place is less than 5 he should have rounded down instead of rounding up. The correct rounded number is 1,230,000.

PTS: 1 DIF: Advanced REF: Lesson 1-6 OBJ: 1-6.3 Round whole numbers through the millions - Show solutions NAT: G4-FP8C STA: 3.4.F TOP: Round Whole Numbers KEY: Rounding