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ADDITIONAL EXAMPLE 2 Mr. Williams bought four boards. Each board was supposed to be 6 feet long. The table shows the difference between the length of each board and 6 feet. Order the numbers from least to greatest.

Andy, Dana, and Becky each worked on homework for an hour. The table shows what part of homework time each spent on math and English. 1. Who spent the most time on math? Andy

Andy, Dana, and Becky each worked on homework for an hour. The table shows what part of homework time each spent on math and English. 2. Order the times spent on English from least to greatest.

Andy, Dana, and Becky each worked on homework for an hour. The table shows what part of homework time each spent on math and English. 3. List all the fractions and decimals given in the table from least to greatest.

10. 5

8/9

-0. 8

1/3

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ADDITIONAL EXAMPLE 1 Over a period of four hours, the temperature rose 3 °F, rose 2 °F, dropped 4 °F, and dropped 1 °F. If the starting temperature was – 2 °F, what was the temperature after four hours? – 2 °F

ADDITIONAL EXAMPLE 2 What is the total change in Mei’s checking account if she writes a $35 check for shoes, deposits $50, and then writes a $55 check for a sweater? The amount in the account decreased by $40.

ADDITIONAL EXAMPLE 3 In Round 1 of a game, a student loses 5 points, loses 3 points, gains 17 points, and loses 7 points. What is the student’s score at the end of Round 1? 2 points; – 5 – 3 + 17 – 7 = – 15 + 17 = 2

Mike deposited $200 into his bank account. He then wrote checks for $20 and $30. Then he deposited $40 dollars more. Which of the following represents the changes in the value of Mike’s account? 200 20 + 30 + 40

A submarine’s elevation is 14 feet relative to sea level. A shark is swimming at an elevation of 56 feet. What is the difference in elevation between the submarine and the shark? 42 ft

The temperature in Montreal was 8 C. In New York the temperature was 11 C. How many degrees warmer was the temperature in New York? 19

A shopper uses a departmentstore gift card to pay for 3 sweaters priced at $27 each. What is the change in the value of the gift card? -$81

Philip played a board game, and he drew 4 straight cards that read, “Go back 8 spaces. ” What is the change in Philip’s position on the game board? -32 spaces

D

A rock climber that is 0. 74 mile above sea level ascends 0. 18 mile and then descends 0. 8 mil. Which represents the location of the rock climber compared to sea level? 0. 12

Which number is a rational number, but not an integer? -20/2, -16/4, 14/4, 24/6 14/4

ADDITIONAL EXAMPLE 1 $12. 20

ADDITIONAL EXAMPLE 2 $11

6. 3. E 1. What did Elaine spend on apples? $7. 56 2. What did Elaine spend on pears? $1. 69 3. What did Elaine spend on bananas? $6. 42

ADDITIONAL EXAMPLE 3 The graph shows the location of a fountain, a slide, and a sandbox in a park. The scale on each axis represents yards. Give the coordinates for the sandbox and use them to describe the location of the sandbox relative to the fountain. The sandbox is at (10, – 15). This is 10 yards east and 15 yards south of the fountain.

6. 11 Use the coordinate plane shown. Each unit represents 1 city block. 1. Write the ordered pairs that represent Henry and the library. Henry (– 3, 4), Library (2, – 3)

2. Describe Henry’s location relative to the library. Henry is 5 blocks west and 7 blocks north of the library.

3. Henry wants to meet his friend Emma at an ice cream shop before they go to the library. The ice cream shop is 7 blocks west of the library. Plot and label a point representing the ice cream shop. What are the coordinates of the point? (– 5, – 3) 4. Emma describes her current location: “I’m directly west of the library, halfway to the ice cream shop. ” Plot and label a point representing Emma’s location. What are the coordinates of the point? (– 1. 5, – 3)