Let's solve each problem step by step, following the
rules for multiplication and division of integers:
🔷 Rules to Remember:
1.
Positive × Positive = Positive
2.
Negative × Negative = Positive
3.
Positive × Negative = Negative
4.
Negative × Positive = Negative
Same rules apply for
division.
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Now let's go through each problem:
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Multiplication Problems:
1. $ 4 \times 4 = 16 $
2. $ -8 \times (-4) = +32 $
→ Negative × Negative = Positive
3. $ -12 \times (-8) = +96 $
→ Negative × Negative = Positive
4. $ -7 \times (+8) = -56 $
→ Negative × Positive = Negative
5. $ 9 \times 7 = 63 $
6. $ 13 \times (-6) = -78 $
→ Positive × Negative = Negative
7. $ 10 \times 11 = 110 $
8. $ 40 \times (-8) = -320 $
→ Positive × Negative = Negative
9. $ -9 \times (-8) = +72 $
→ Negative × Negative = Positive
10. $ 7 \times (-14) = -98 $
→ Positive × Negative = Negative
11. $ -12 \times (+12) = -144 $
→ Negative × Positive = Negative
12. $ 16 \times (-3) = -48 $
→ Positive × Negative = Negative
13. $ 5 \times (-6) = -30 $
14. $ -14 \times (-6) = +84 $
→ Negative × Negative = Positive
15. $ -12 \times (-9) = +108 $
→ Negative × Negative = Positive
16. $ 6 \times (-9) \times (10) $
First: $ 6 \times (-9) = -54 $
Then: $ -54 \times 10 = -540 $
→ Final answer:
-540
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Division Problems:
17. $ 15 \div 3 = 5 $
18. $ -20 \div 4 = -5 $
→ Negative ÷ Positive = Negative
19. $ \frac{-150}{25} = -6 $
→ Negative ÷ Positive = Negative
20. $ 122 \div 2 = 61 $
21. $ -72 \div (-12) = +6 $
→ Negative ÷ Negative = Positive
22. $ -64 \div 4 = -16 $
→ Negative ÷ Positive = Negative
23. $ 39 \div 3 = 13 $
24. $ 60 \div 5 = 12 $
25. $ 28 \div 7 = 4 $
26. $ -88 \div (-8) = +11 $
→ Negative ÷ Negative = Positive
27. $ -48 \div 3 = -16 $
→ Negative ÷ Positive = Negative
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Mixed Operations (Order matters):
27. $ 14 \times (-4) \div (-2) $
Step 1: $ 14 \times (-4) = -56 $
Step 2: $ -56 \div (-2) = +28 $
→ Answer:
28
28. $ -15 \times (-5) \times 3 $
Step 1: $ -15 \times (-5) = +75 $
Step 2: $ 75 \times 3 = 225 $
→ Answer:
225
29. $ 121 \div (-11) \times 14 $
Step 1: $ 121 \div (-11) = -11 $
Step 2: $ -11 \times 14 = -154 $
→ Answer:
-154
30. $ -240 \div 60 \times (-3) $
Step 1: $ -240 \div 60 = -4 $
Step 2: $ -4 \times (-3) = +12 $
→ Answer:
12
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✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1 | 16 |
| 2 | 32 |
| 3 | 96 |
| 4 | -56 |
| 5 | 63 |
| 6 | -78 |
| 7 | 110 |
| 8 | -320 |
| 9 | 72 |
| 10 | -98 |
| 11 | -144 |
| 12 | -48 |
| 13 | -30 |
| 14 | 84 |
| 15 | 108 |
| 16 | -540 |
| 17 | 5 |
| 18 | -5 |
| 19 | -6 |
| 20 | 61 |
| 21 | 6 |
| 22 | -16 |
| 23 | 13 |
| 24 | 12 |
| 25 | 4 |
| 26 | 11 |
| 27 | 28 |
| 28 | 225 |
| 29 | -154 |
| 30 | 12 |
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Let me know if you'd like a printable version or explanation of any specific problem!
Parent Tip: Review the logic above to help your child master the concept of intergers worksheet.