Adding and Subtracting Integers

Adding Integers

100

-38 + (-59)

-97

200

29 + (-46)

-17

300

-54 + 63

9

400

-93 + 86

-7

500

12 + 38 + (-41)

9

Subtracting Integers

100

7 - 11

-4

200

-5 - (-12)

7

300

-16 - (-11)

-5

400

23 - (-17)

40

500

-34 - (-18)

-16

Mix 1

100

-4 - 6

-10

200

-6 - 9

-15

300

15 - (-7)

22

400

-28 + 31 + (-44)

-41

500

-98 + (-91) + 68

-121

Mix 2

100

-13 - 8

-21

200

21 - 35

-14

300

-10 + (-2) - 5

-17

400

Write the following as an addition problem and solve:

-13 - 2

-13 + (-2) = -15

500

53 + (-19) + (-102)

-68

Vocab

100

When completing the problem

(-3) + (-2)

what sign would the sum have and why?

Negative sign, because when they have the same sign, you use that sign.

200

What is the rule for adding integers with different signs? Ex: 3 + (-1)

Subtract the numbers and take the sign of the larger number.

300

What is the three word phrase we use to help us remember what to do when subtracting integers?

Keep, change, change.

400

What is the rule when it comes to subtracting integers?

Add the opposite

500

Show all your steps, including rewriting the problem as an addition problem, subtracting and taking the larger sign, and solve the following problem:

-10 - (-31) =

1. -10 + (+31)

2. 31-10=21

3. 31 is larger, therefore the answer is positive.

Answer: 21