Let's solve each of the division problems in the "Division of Integers" worksheet step by step. The key concept here is understanding how to divide integers, especially when negative numbers are involved.
Rules for Dividing Integers:
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Positive ÷ Positive = Positive
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Negative ÷ Negative = Positive
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Positive ÷ Negative = Negative
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Negative ÷ Positive = Negative
Now, let's go through each problem:
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1. -176 ÷ 11
→ -176 ÷ 11 = -16
(176 ÷ 11 = 16; negative ÷ positive = negative)
✔ Answer: -16
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2. -190 ÷ 2
→ -190 ÷ 2 = -95
(190 ÷ 2 = 95; negative ÷ positive = negative)
✔ Answer: -95
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3. 33 ÷ 11
→ 33 ÷ 11 = 3
(Positive ÷ positive = positive)
✔ Answer: 3
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4. 4 ÷ 4
→ 4 ÷ 4 = 1
✔ Answer: 1
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5. 54 ÷ 2
→ 54 ÷ 2 = 27
✔ Answer: 27
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6. -10 ÷ -10
→ -10 ÷ -10 = 1
(Negative ÷ negative = positive)
✔ Answer: 1
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7. -60 ÷ -12
→ -60 ÷ -12 = 5
(Negative ÷ negative = positive; 60 ÷ 12 = 5)
✔ Answer: 5
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8. 15 ÷ -5
→ 15 ÷ -5 = -3
(Positive ÷ negative = negative)
✔ Answer: -3
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9. 60 ÷ -10
→ 60 ÷ -10 = -6
(Positive ÷ negative = negative)
✔ Answer: -6
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10. 168 ÷ 7
→ 168 ÷ 7 = 24
(7 × 24 = 168)
✔ Answer: 24
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11. 60 ÷ -12
→ 60 ÷ -12 = -5
(Positive ÷ negative = negative; 60 ÷ 12 = 5)
✔ Answer: -5
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12. 88 ÷ -8
→ 88 ÷ -8 = -11
(Positive ÷ negative = negative; 88 ÷ 8 = 11)
✔ Answer: -11
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13. 24 ÷ 12
→ 24 ÷ 12 = 2
✔ Answer: 2
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14. 110 ÷ -11
→ 110 ÷ -11 = -10
(Positive ÷ negative = negative; 110 ÷ 11 = 10)
✔ Answer: -10
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15. -108 ÷ -3
→ -108 ÷ -3 = 36
(Negative ÷ negative = positive; 108 ÷ 3 = 36)
✔ Answer: 36
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16. 144 ÷ 6
→ 144 ÷ 6 = 24
(6 × 24 = 144)
✔ Answer: 24
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Final Answers:
1. -16
2. -95
3. 3
4. 1
5. 27
6. 1
7. 5
8. -3
9. -6
10. 24
11. -5
12. -11
13. 2
14. -10
15. 36
16. 24
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✔ All answers are now solved and verified!
Let me know if you'd like this as a printable PDF or with explanations in simpler terms for younger students!
Parent Tip: Review the logic above to help your child master the concept of multiplying and dividing integers worksheet with answers.
