This handy Spectrum Math Grade 7 Answer Key Chapter 2 Lesson 2.6 Dividing Integers provides detailed answers for the workbook questions.
Spectrum Math Grade 7 Chapter 2 Lesson 2.6 Dividing Integers Answers Key
Dividing Integers
The quotient of two integers with the same sign is positive.
8 ÷ 2 = 4
-8 ÷ (-2) = 4
The quotient of two integers with different signs is negative.
8 ÷ (-2) = -4
-8 ÷ 2 = -4
Divide.
Question 1.
a. 12 ÷ 4 = ____
Answer: 3
let 12 ÷ 4 = x
12 = x × 4
x = 2
12 ÷ 4 = 3
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 12 and 4 both are having same sign hence the result would be positive.
b. 16 ÷ (-4) = ____
Answer: -4
let 16 ÷ (-4) = x
16 = x × (-4)
x = -4
16 ÷ (-4) = -4
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 16 and -4 both are having different sign hence the result would be negative.
c. -8 ÷ 4 = ____
Answer: -2
let -8 ÷ 4 = x
-8 = x × 4
x = -2
-8 ÷ 4 = -2
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -8 and 4 both are having different sign hence the result would be negative.
Question 2.
a. 7 ÷ (-1) = ____
Answer: -7
let 7 ÷ (-1) = x
7 = x × (-1)
x = -7
7 ÷ (-1) = -7
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 7 and -1 both are having different sign hence the result would be negative.
b. -14 ÷ 7 = ____
Answer: -2
let -14 ÷ 7 = x
-14 = x × 7
x = -2
-14 ÷ 7 = -2
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -14 and 7 both are having different sign hence the result would be negative.
c. 24 ÷ (-6) = ____
Answer: -4
let 24 ÷ (-6) = x
24 = x × (-6)
x = -4
24 ÷ (-6) = -4
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 24 and -6 both are having different sign hence the result would be negative.
Question 3.
a. 81 ÷ (-3) = ____
Answer: -27
let 81 ÷ (-3) = x
81 = x × (-3)
x = -27
81 ÷ (-3) = -27
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 81 and -3 both are having different sign hence the result would be negative.
b. -63 ÷ 9 = ____
Answer: -7
let -63 ÷ 9 = x
-63 = x × 9
x = -7
-63 ÷ 9 = -7
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -63 and 9 both are having different sign hence the result would be negative.
c. -55 ÷ (-5) = ____
Answer: 11
let -55 ÷ (-5) = x
-55 = x × (-5)
x = 11
-55 ÷ (-5) = 11
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -55 and -5 both are having same sign hence the result would be positive.
Question 4.
a. 21 ÷ (-7) = ____
Answer: -3
let 21 ÷ (-7) = x
21 = x × (-7)
x = -3
21 ÷ (-7) = -3
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 21 and -7 both are having different sign hence the result would be negative.
b. -38 ÷ 2 = ____
Answer: -19
let -38 ÷ 2 = x
-38 = x × 2
x = -19
-38 ÷ 2 = -19
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -38 and 2 both are having different sign hence the result would be negative.
c. -19 ÷ (-1) = ____
Answer: 19
let -19 ÷ (-1) = x
-19 = x × (-1)
x = 19
-19 ÷ (-1) = 19
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -19 and -1 both are having same sign hence the result would be positive.
Question 5.
a. 12 ÷ (-12) = ____
Answer: -1
let 12 ÷ (-2) = x
12 = x × (-12)
x = -1
12 ÷ (-12) = -1
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 12 and -12 both are having different sign hence the result would be negative.
b. 42 ÷ (-21) = ____
Answer: -2
let 42 ÷ (-21) = x
42 = x × (-21)
x = -2
42 ÷ (-21) = -2
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 42 and -21 both are having different sign hence the result would be negative.
c. -60 ÷ (-10) = ____
Answer: 6
let -60 ÷ (-10) = x
-60 = x × (-10)
x = -6
-60 ÷ (-10) = 6
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -60 and -10 both are having same sign hence the result would be positive.
Question 6.
a. 20 ÷ 2 = ___
Answer: 10
let 20 ÷ 2 = x
20 = x × 2
x = 10
20 ÷ 2 = 10
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 20 and 2 both are having same sign hence the result would be positive.
b. 30 ÷ (-10) = ____
Answer: -3
let 30 ÷ (-10) = x
30 = x × (-10)
x = -3
30 ÷ (-10) = -3
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 30 and -10 both are having different sign hence the result would be negative.
c. (-50) ÷ (-10) = ____
Answer: 5
let (-50) ÷ (-10) = x
(-50) = x × (-10)
x = 5
(-50) ÷ (-10) = 5
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -50 and -10 both are having same sign hence the result would be positive.
Question 7.
a. 288 ÷ (-18) = ____
Answer: -16
let 288 ÷ (-18) = x
288 = x × (-18)
x = -16
288 ÷ (-18) = -16
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 288 and -18 both are having different sign hence the result would be negative.
b. (-85) ÷ (-5) = ____
Answer: 17
let (-85) ÷ (-5) = x
(-85) = x × (-5)
x = -5
(-85) ÷ (-5) = 17
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -85 and -5 both are having different sign hence the result would be positive.
c. (-36) ÷ 4 = ___
Answer: -9
let (-36) ÷ 4 = x
(-36) = x × 4
x = -9
(-36) ÷ 4 = -9
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -36 and 4 both are having different sign hence the result would be negative.
Question 8.
a. 136 ÷ (-8) = ____
Answer: 17
let 136 ÷ (-8) = x
136 = x × (-8)
x = 17
136 ÷ (-8) = 17
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 136 and -8 both are having different sign hence the result would be negative.
b. (-171) ÷ 19 = ____
Answer: -9
let (-171) ÷ 19 = x
(-171) = x × 19
x = -9
(-171) ÷ 19 = -9
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -171 and 19 both are having different sign hence the result would be negative.
c. 240 ÷ 15 = ____
Answer: 16
let 240 ÷ 15 = x
240 = x × 15
x = 16
240 ÷ 15 = 16
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 240 and 15 both are having same sign hence the result would be positive.
Question 9.
a. 168 ÷ 12 = ____
Answer: 14
let 168 ÷ 12 = x
168 = x × 12
x = 14
168 ÷ 12 = 14
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 168 and 12 both are having different sign hence the result would be positive.
b. (-200) ÷ 20 = ____
Answer: -10
let (-200) ÷ 20 = x
(-200) = x × 20
x = -10
(-200) ÷ 20 = -10
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -200 and 20 both are having different sign hence the result would be negative.
c. 14 ÷ (-7) = ____
Answer: -2
let 14 ÷ (-7) = x
14 = x × (-7)
x = -2
14 ÷ (-7) = -2
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 14 and -7 both are having different sign hence the result would be negative.
Question 10.
a. 240 ÷ (-15) = ____
Answer: -16
let 240 ÷ (-15) = x
240 = x × (-15)
x = -16
240 ÷ (-15) = -16
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 240 and -15 both are having different sign hence the result would be negative.
b. (-120) ÷ (-8) = ____
Answer: 15
let (-120) ÷ (-8) = x
(-120) = x × (-8)
x = 15
(-120) ÷ (-8) = 15
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -120 and -8 both are having same sign hence the result would be positive.
c. 102 ÷ (-17) = ____
Answer: -6
let 102 ÷ (-17) = x
102 = x × (-17)
x = -6
102 ÷ (-17) = -6
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 102 and -17 both are having different sign hence the result would be negative.
Divide.
Question 1.
a. (-140) ÷ (-10) = ____
Answer: 14
let (-140) ÷ (-10) = x
(-140) = x × (-10)
x = 14
(-140) ÷ (-10) = 14
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -140 and -10 both are having same sign hence the result would be positive.
b. (-210) ÷ 15 = ____
Answer: -42
let (-210) ÷ 15 = x
(-210) = x × 15
x = -42
(-210) ÷ 15 = -42
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -210 and 15 both are having different sign hence the result would be negative.
c. (-224) ÷ (-14) = ____
Answer: 16
let (-224) ÷ (-14) = x
(-224) = x × (-14)
x = 16
(-224) ÷ (-14) = 16
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -224 and -14 both are having same sign hence the result would be positive.
Question 2.
a. (-13) ÷ (-1) = ____
Answer: 13
let (-13) ÷ (-1) = x
(-13) = x × (-1)
x = 13
(-13) ÷ (-1) = 13
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -13 and -1 both are having same sign hence the result would be positive.
b. 120 ÷ 8 = ____
Answer: 15
let 120 ÷ 8 = x
120 = x × 8
x = 15
120 ÷ 8 = 15
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 120 and 8 both are having same sign hence the result would be positive.
c. 144 ÷ (-8) = ____
Answer: -18
let 144 ÷ (-8) = x
144 = x × (-8)
x = -18
144 ÷ (-8) = -18
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 144 and -8 both are having different sign hence the result would be negative.
Question 3.
a. 400 ÷ (-20) = ____
Answer: -20
let 400 ÷ (-20) = x
400 = x × (-20)
x = -20
400 ÷ (-20) = -20
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 400 and -20 both are having different sign hence the result would be negative.
b. 39 ÷ (-13) = ____
Answer: -3
let 39 ÷ (-13) = x
39 = x × (-13)
x = -3
39 ÷ (-13) = -3
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 39 and -13 both are having different sign hence the result would be negative.
c. (-3) ÷ 1 = ____
Answer: -3
let (-3) ÷ 1 = x
(-3) = x × 1
x = -3
(-3) ÷ 1 = -3
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -3 and 1 both are having different sign hence the result would be negative.
Question 4.
a. (-200) ÷ 10 = ____
Answer: -20
let (-200) ÷ 10 = x
(-200) = x × 10
x = -20
(-200) ÷ 10 = -20
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -200 and 10 both are having different sign hence the result would be negative.
b. 224 ÷ (-16) = ___
Answer: -14
let 224 ÷ (-16) = x
224 = x × (-16)
x = -14
224 ÷ (-16) = -14
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 224 and -16 both are having different sign hence the result would be negative.
c. 66 ÷ 11 = ___
Answer: 6
let 66 ÷ 11 = x
66 = x × 11
x = 6
66 ÷ 11 = 6
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 66 and 11 both are having same sign hence the result would be positive.
Question 5.
a. 88 ÷ 11 = ___
Answer: 8
let 88 ÷ 11 = x
88 = x × 11
x = 8
88 ÷ 11 = 8
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 88 and 11 both are having same sign hence the result would be positive.
b. (-60) ÷ 12 = ____
Answer: -5
let (-60) ÷ 12 = x
(-60) = x × 12
x = -5
(-60) ÷ 12 = -5
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -60 and 12 both are having different sign hence the result would be negative.
c. 288 ÷ 16 = ___
Answer: 18
let 288 ÷ 16 = x
288 = x × 16
x = 18
288 ÷ 16 = 18
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 288 and 16 both are having same sign hence the result would be positive.
Question 6.
a. 288 ÷ (-16) = ____
Answer: -18
let 288 ÷ (-16) = x
288 = x × (-16)
x = -18
288 ÷ (-16) = -18
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 288 and -16 both are having different sign hence the result would be negative.
b. (-90) ÷ 6 = ____
Answer: -15
let (-90) ÷ 6 = x
(-90) = x × 6
x = -15
(-90) ÷ 6 = -15
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -90 and 6 both are having different sign hence the result would be negative.
c. 90 ÷ (-10) = ____
Answer: -9
let 90 ÷ (-10) = x
90 = x × (-10)
x = -9
90 ÷ (-10) = -9
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 90 and -10 both are having different sign hence the result would be negative.
Question 7.
a. 133 ÷ 19 = ____
Answer: 7
let 133 ÷ 19 = x
133 = x × 19
x = 7
133 ÷ 19 = 7
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 133 and 19 both are having same sign hence the result would be positive.
b. 55 ÷ 5 = ____
Answer: 11
let 55 ÷ 5 = x
55 = x × 5
x = 5
55 ÷ 5 = 11
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 55 and 5 both are having same sign hence the result would be positive.
c. 128 ÷ 8 = ____
Answer: 16
let 128 ÷ 8 = x
128 = x × 8
x = 16
128 ÷ 8 = 16
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 128 and 8 both are having same sign hence the result would be positive.
Question 8.
a. 48 ÷ (-8) = ____
Answer: -6
let 48 ÷ (-8) = x
48 = x × (-8)
x = -6
48 ÷ (-8) = -6
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 48 and -8 both are having different sign hence the result would be negative.
b. (-306) ÷ 17 = ____
Answer: -18
let (-306) ÷ 17 = x
(-306) = x × 17
x = -18
(-306) ÷ 17 = -18
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -306 and 17 both are having different sign hence the result would be negative.
c. (64) ÷ 4 = ____
Answer: 16
let 64 ÷ 4 = x
64 = x × 4
x = 16
64 ÷ 4 = 16
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 64 and 4 both are having same sign hence the result would be positive.
Question 9.
a. 35 ÷ 5 = ____
Answer: 7
let 35 ÷ 5 = x
35 = x × 5
x = 7
35 ÷ 5 = 7
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 35 and 5 both are having same sign hence the result would be positive.
b. 34 ÷ (-17) = ____
Answer: -2
let 34 ÷ (-17) = x
34 = x × (-17)
x = -2
34 ÷ (-17) = -2
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 34 and -17 both are having different sign hence the result would be negative.
c. 252 ÷ (-14) = ____
Answer: -18
let 252 ÷ (-14) = x
252 = x × (-14)
x = -18
252 ÷ (-14) = -18
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 252 and -14 both are having different sign hence the result would be negative.
Question 10.
a. 51 ÷ 3 = ____
Answer: 17
let 51 ÷ 3 = x
51 = x × 3
x = 17
51 ÷ 3 = 17
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 51 and 3 both are having same sign hence the result would be positive.
b. (-18) ÷ (-9) = ____
Answer: 2
let (-18) ÷ (-9) = x
(-18) = x × (-9)
x = 2
(-18) ÷ (-9) = 2
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -18 and -9 both are having same sign hence the result would be positive.
c. (-33) ÷ (-3) = ____
Answer: 11
let (-33) ÷ (-3) = x
(-33) = x × (-3)
x = 11
(-33) ÷ (-3) = 11
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -33 and -3 both are having same sign hence the result would be positive.
Question 11.
a. 176 ÷ 11 = ____
Answer: 16
let 176 ÷ 11 = x
176 = x × 11
x = 16
176 ÷ 11 = 16
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 176 and 11 both are having same sign hence the result would be positive.
b. (-180) ÷ 15 = ____
Answer: -12
let (-180) ÷ 15 = x
(-180) = x × 15
x = -12
(-180) ÷ 15 = -12
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -180 and 15 both are having different sign hence the result would be negative.
c. (-105) ÷ (-7) = _____
Answer: 15
let (-105) ÷ (-7) = x
(-105) = x × (-7)
x = 15
(-105) ÷ (-7) = 15
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -105 and -7 both are having same sign hence the result would be positive.
Question 12.
a. (-96) ÷ 12 = ____
Answer: -8
let (-96) ÷ 12 = x
(-96) = x × 12
x = -8
(-96) ÷ 12 = -8
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -96 and 12 both are having different sign hence the result would be negative.
b. 26 ÷ (-2) = _____
Answer: -13
let 26 ÷ (-2) = x
26 = x × (-2)
x = -13
26 ÷ (-2) = -13
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 26 and -2 both are having different sign hence the result would be negative.
c. (-54) ÷ (-9) = ____
Answer: 6
let (-54) ÷ (-9) = x
(-54) = x × (-9)
x = 6
(-54) ÷ (-9) = 6
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -54 and -9 both are having same sign hence the result would be positive.
Question 13.
a. (-156) ÷ (-12) = ____
Answer: 13
let (-156) ÷ (-2) = x
(-156) = x × (-12)
x = 13
(-156) ÷ (-12) = 13
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -156 and -12 both are having same sign hence the result would be positive.
b. (-248) ÷ 4 = _____
Answer: -62
let (-248) ÷ 4 = x
(-248) = x × 4
x = -62
(-248) ÷ 4 = -62
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -248 and 4 both are having different sign hence the result would be negative.
c. (-272) ÷ (-34) = ____
Answer: 8
let (-272) ÷ (-34) = x
(-272) = x × (-34)
x = 8
(-272) ÷ (-34) = 8
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -272 and -34 both are having same sign hence the result would be positive.
Question 14.
a. (-1037) ÷ (-17) = _____
Answer: 61
let (-1037) ÷ (-7) = x
(-1037) = x × (-17)
x = 61
(-1037) ÷ (-17) = 61
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here -1037 and -17 both are having same sign hence the result would be positive.
b. 688 ÷ 8 = ____
Answer: 86
let 688 ÷ 8 = x
688 = x × 8
x = 86
688 ÷ 8 = 86
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 688 and 8 both are having same sign hence the result would be positive.
c. 1008 ÷ (-42) = ____
Answer: -24
let 1008 ÷ (-42) = x
1008 = x × (-42)
x = -24
1008 ÷ (-42) = -24
The quotient of two integers with the same sign is positive and the quotient of two integers with different signs is negative. Here 1008 and -42 both are having different sign hence the result would be negative.