Adding and Subtracting Rational Numbers

Integers

100

(-7) + 3

-4

200

(-8) - 5

-13

300

-12 + 7 - (-4)

-1

400

15 - (-8) + (-12)

11

500

-18 - (-7) - |-9| + (-12)

-32

Fractions

100

3/4 + 5/6

19/12  OR  1 7/12

200

3/5 - 7/10

- 1/10

300

(- 2/3) + 1 5/6

7/6  OR  1 1/6

400

1 5/8 - (- 2 7/12)

4 5/24

500

(- 2 1/3) - (- 1 5/6) + 3/4

1/4

Decimals

100

4.7 + 2.3

7

200

8.5 - 12.7

-4.2

300

(-3.75) + 6.4

2.65

400

12.6 - (-4.85) + (-7.3)

10.15

500

-15.72 - (-8.95) - |-3.6| + (-4.28)

-14.65

Word Problems

100

The temperature was 6^oC in the morning. By the afternoon, it had decreased by 8^oC. What was the afternoon temperature?

-2^oC

200

A submarine is 45 ft below sea level. If it rises 18 ft, what is its new position relative to sea level?

-27 ft  OR  27 ft below sea level

300

During a drought, the local lake was 3 1/6 feet below its normal level. Two weeks later, the water level had dropped an additional 1 5/9 feet. What was the lake's water level after two weeks relative to its normal level?

-4 13/18 ft  OR  4 13/18 ft below normal level

400

Marcus has $24.50 in his account. He spends $31.75 on a new book and $3.15 on a candy bar. He also deposits $5 that he got for his birthday. What is his new account balance?

- $5.40

500

A hiker starts at an elevation of 285 ft. She descends 375.5 ft, climbs 218.75 ft, and descends another 23.5 ft. What is her final elevation?

104.75 ft

Challenge Questions

100

What is always true about the absolute value of a number?

It's positive

200

Name 3 types of rational numbers.

Integers, Whole numbers, Fractions, Decimals (terminating/repeating), etc.

300

True or False: When you subtract a number, the answer always becomes smaller.

False

400

True or False: Opposite numbers always have the same absolute value.

True

500

|-12 - (-7) + (-9) - (-4)| = ?

10