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B You can find the absolute value of a negative number . D O Find |210| . 210 1 Draw a point on a number Think: I need to find the absolute value of . line for 210 .

2 Count the number of units Ϫ10 Ϫ9 Ϫ8 Ϫ7 Ϫ6 Ϫ5 Ϫ4 Ϫ3 Ϫ2 Ϫ1 0 1 to 0 . There are units from 210 to 0 . 3 This distance is the absolute value . |210| 5 I get it! Taking the absolute value of a positive number doesn’t change the number. C You can find the absolute value of a number by Taking the absolute value keeping or changing its sign . of a negative number D O makes it positive. Find |12| and |250| .

1 Think about the meaning The absolute value of a number is always positive . of absolute value . Since 12 is already positive, to find |12| remove the absolute value 2 Write the absolute values . symbols and its sign . Since 250 is negative, to find |250| remove the absolute value symbols and change its sign from to . |12| 5 and |250| 5

PRACTICE Draw a point on a number line to show the integer and find its absolute value. LLC 1 |4| 5 2 |22| 5 rning, Lea

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Duplicating any part of this book is prohibited by law. © 2014 Triumph Learning, LLC 8 Absolute Value The opposite of a positive number B You can use a number line to find the opposite of a negative number . is negative, and D O the opposite of a Find the opposite of 24 . negative number 4 1 Determine which side The number 24 is units is positive. of 0 the given number to the of 0 . is on . Draw a point . 2 Count the same number of units in the Ϫ6 Ϫ5 Ϫ4 Ϫ3 Ϫ2 Ϫ10 1 2 3 4 5 6 opposite direction from To find its opposite, count units to the of 0 . 0 and draw a point . The opposite of 24 is . 3 Write the answer .

S CUS DI S On the number line below, locate a number (other than 0) and its opposite . What is the opposite of the opposite of your original number? Explain .

Ϫ8 Ϫ7 Ϫ6 Ϫ5 Ϫ4 Ϫ3 Ϫ2 Ϫ1 0 1 2 3 4 5 6 7 8

PRACTICE Find the opposite of the number shown on the number line.

1 2 Ϫ5 Ϫ4 Ϫ3 Ϫ2 Ϫ1 0 1 2 3 4 5 Ϫ5 Ϫ4 Ϫ3 Ϫ2 Ϫ1 0 1 2 3 4 5 The opposite of 23 is . The opposite of 2 is .

Plot the number on the number line. Then, find its opposite and plot it on the number line. LLC

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The absolute value of the negative work together balance describes You can describe a real-world the size of her debt! situation using absolute value . • A balance of 2$35 23. means Jeanne spent more money than she had in her negative 35 dollars and 23 bank account, and her balance is now 2$35 23. . cents . How much does Jeanne owe the bank? • The absolute value of 235 23. is |235 . 23| 5 35 . 23 35 23. . A negative balance means money owed . The balance of 2$35 23. • The reference point is a balance means that Jeanne owes the bank $35 23. . of 0, where Jeanne would have no money in her account and not owe the bank any money, either . • Jeanne has a debt of $35 23. .

A Use absolute value to describe the situation . D O A treasure chest is buried at 225 feet . How many feet below the ground is the treasure chest?

1 Determine the reference point . The reference point is . 2 Find the distance from the The distance from the reference point is the absolute value reference point . of 225 . 3 Describe the situation . |225| 5 The treasure chest is .

B Write a positive or negative number for the situation described . D O LLC Bjorn wrote a check for $45 .85 to the electric company . Write a number to represent the

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Write a positive or negative number for the situation described.

9 The temperature is 12°F below zero . 10 A hot-air balloon is 150 feet in the air . The temperature is °F . The hot-air balloon’s elevation is feet .

Write a positive or negative number to describe each person’s account balance.

11 Cole owes the bank $21 15. . I know! A deposit means putting 12 Dominic opened a bank account money into by depositing a check for $250 . the bank.

Use absolute value to represent each situation. Then solve.

13 Gail’s checking account shows a balance of 265 34. . How much debt does Gail show in her checking account?

14 __1 The depth of a lake was written as 228 2 feet . How many feet below the surface is the bottom of the lake? LLC

ISCUSS D Putting It Together rning, Lea A hiker and a scuba diver both start at sea level . After an hour, the hiker is at an elevation of 67 5. feet,

umph and the scuba diver is at an elevation of 288 1. feet . How can you use absolute value to explain whether Tri

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