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