Adding and Subtracting Rational Numbers

Sums of Integers

100

-7 + 10

-7 + 10 = 3

200

-19 + (-8)

-19 + (-8) = -27

300

(-21) + (-5)

(-21) + (-5) = -26

400

-4 + (-12) + (18) =

-4 + (-12) + (18) = 2

500

3 + (-13) + (-8)

3 + (-13) + (-8) = -18

Differences of Integers

100

-10 - (-10) =

-10 - (-10) = 0

200

(-4) - 5 =

(-4) - 5 = -9

300

22 - 67 =

22 - 67 = -45

400

The temperature is -3 degrees. It dives -13 degrees over night. Determine the change in temperature.

-3 - 13 = -10 degrees

500

-12 - (-4) - 8 =

-12 - (-4) - 8 = -8

Sums of Rational Numbers

100

5/8 + 3/4

11/8 or 1 3/8

200

13 + 5.3 =

13 + 5.3 = 18.3

300

5/8 + 1/4 =

5/8 + 1/4 = 7/8

400

There is $40.75 in my bank account. I deposit $20.25. Then, I spend $4 on a candy bar. What is the new balance of my account?

There is $40.75 in my bank account. I deposit $20.25. Then, I spend $4 on a candy bar. What is the new balance of my account? 

40.75 + 20.25 - 4 = $57

500

Write an addition expression is equivalent to 37 - (-14) - (-10).

37 + 14 + (-10)

Differences of Rational Numbers

100

-9 - (-13.5) =

-9 - (-13.5) = 4.5

200

-9 - 3.5

-9 - 3.5 = 5.5

300

(+3) - (-4) - (+5) =

(+3) - (-4) - (+5) = 3 + 4 - 5 = 2

400

There are $14.50 in my bank account. I withdraw $10. What is the new balance of my bank account?

There are $14.50 in my bank account. I withdraw $10. What is the new balance of my bank account? 

$4.50

500

Write a subtraction expression equivalent to 43 + (-23) + (-8)

43 + (-23) + (-8) =

 43 -23 - 8 = 12

Real World Problems

100

A mile high is 5,280 ft. If you at at that elevation, descend 30 feet and then climb another 34 ft, what is your elevation? 

5,280 - 30 + 34 = 5284 ft

200

In a game of Jeopardy, Kris had -175 points at the end of her first five turns. On her next five turns, she lost 225 points. Write and evaluate an expression that shows how many points Kris had after ten turns?

-175 - (+225) = -400 points

300

In Khushi's extensive gem collection she has 34 green gems, 63 yellow gems, and 21 blue gems. If Khushi gives away 15 of her gems to her friends, how many gems does Khushi now have? Write an addition expression and solve. 

34 + 63 + 21 + (-15) = 103 gems

400

If you owe me $5 and then borrow $2, and then you pay back $4, what is your debt to me now?

(-5) + (-2) + 4 = -3

500

Rochelle dives into a lake from the water’s surface. Her change in elevation in the lake is described. She:

• descends 15.5 feet and takes some pictures of fish

• ascends 8.2 feet to explore another area

• descends 1.6 feet to capture video of a fish

• descends 20.4 feet to find some feeding bass

• ascends 15.5 feet to take more pictures

How many feet does Rochelle have left to ascend before reaching the surface?

13.8 ft below the water's surface