This handy **Spectrum Math Grade 7 Answer Key**** Chapter 2 Lesson 2.5 Understanding Integer Division** provides detailed answers for the workbook questions.

## Spectrum Math Grade 7 Chapter 2 Lesson 2.5 Understanding Integer Division Answers Key

Because multiplication and division are inverse operations, you can use what you know about integer multiplication to solve division problems.

-6 ÷ 2 = x

-6 = x × 2

x = -3

**Use multiplication as an inverse operation to solve the following integer division problems.**

Question 1.

a. 18 ÷ (-2) = ____

Inverse operation: _____

Answer: -9

let 18 ÷ (-2) = x

As division and multiplication are inverse operations, the above equation can be written as follows

18 = x × (-2)

x = -9

18 ÷ (-2) = -9

Therefore Inverse operation: -9

b. -7 ÷ 1 = ____

Inverse operation: _____

Answer: -7

let -7 ÷ 1 = x

As division and multiplication are inverse operations, the above equation can be written as follows

-7 = x × 1

x = -7

-7 ÷ 1 = -7

Therefore Inverse operation: -7

Question 2.

a. 20 ÷ (-4) = ____

Inverse operation: _____

Answer: -5

let 20 ÷ (-4) = x

As division and multiplication are inverse operations, the above equation can be written as follows

20 = x × (-4)

x = -5

20 ÷ (-4) = -5

Therefore Inverse operation: -5

b. -84 ÷ (-6) = ____

Inverse operation: _____

Answer: 14

let -84 ÷ (-6) = x

As division and multiplication are inverse operations, the above equation can be written as follows

-84 = x × (-6)

x = 14

-84 ÷ (-6) = 14

Therefore Inverse operation: 14

Question 3.

a. 15 ÷ (-3) = ____

Inverse operation: _____

Answer: -5

let 15 ÷ (-3) = x

As division and multiplication are inverse operations, the above equation can be written as follows

15 = x × (-3)

x = -5

15 ÷ (-3) = -5

Therefore Inverse operation: -5

b. -54 ÷ (-9) = ____

Inverse operation: _____

Answer: 6

let -54 ÷ (-9) = x

As division and multiplication are inverse operations, the above equation can be written as follows

-54 = x × (-9)

x = 6

-54 ÷ (-9) = 6

Therefore Inverse operation: 6

Question 4.

a. -25 ÷ 5 = ____

Inverse operation: _____

Answer: -5

let -25 ÷ (5) = x

As division and multiplication are inverse operations, the above equation can be written as follows

-25 = x × (5)

x = -5

-25 ÷ 5 = -5

Therefore Inverse operation: -5

b. -39 ÷ (-13) = ____

Inverse operation: _____

Answer: 3

let -39 ÷ (-13) = x

As division and multiplication are inverse operations, the above equation can be written as follows

-39 = x × (-13)

x = 3

-39 ÷ (-13) = 3

Therefore Inverse operation: 3

Question 5.

a. 81 ÷ (-9) = ____

Inverse operation: _____

Answer: -9

let 81 ÷ (-9) = x

As division and multiplication are inverse operations, the above equation can be written as follows

81 = x × (-9)

x = -9

81 ÷ (-9) = -9

Therefore Inverse operation: -9

b. -48 ÷ 4 = ____

Inverse operation: _____

Answer: -12

let -48 ÷ 4 = x

As division and multiplication are inverse operations, the above equation can be written as follows

-48 = x × 4

x = -12

-48 ÷ 4 = -12

Therefore Inverse operation: -12

Question 6.

a. -72 ÷ 8 = ____

Inverse operation: _____

Answer: -9

let -72 ÷ 8 = x

As division and multiplication are inverse operations, the above equation can be written as follows

-72 = x × 8

x = -9

-72 ÷ 8 = -9

Therefore Inverse operation: -9

b. 36 ÷ (-12) = ____

Inverse operation: _____

Answer: -3

let 36 ÷ (-12) = x

As division and multiplication are inverse operations, the above equation can be written as follows

36 = x × (-12)

x = -3

36 ÷ (-12) = -3

Therefore Inverse operation: -3

Question 7.

a. 22 ÷ (-11) = ____

Inverse operation: _____

Answer: -2

let 22 ÷ (-11) = x

As division and multiplication are inverse operations, the above equation can be written as follows

22 = x × (-11)

x = -2

22 ÷ (-11) = -2

Therefore Inverse operation: -2

b. 18 ÷ (-6) = ____

Inverse operation: _____

Answer: -3

let 18 ÷ (-6) = x

As division and multiplication are inverse operations, the above equation can be written as follows

18 = x × (-6)

x = -3

18 ÷ (-6) = -3

Therefore Inverse operation: -3