Printable worksheet for practicing multiplication and division of integers, featuring 30 problems with positive and negative numbers.
Worksheet titled "Multiplication and Division of Integers" with 30 math problems involving positive and negative integers.
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Step-by-step solution for: Integers interactive exercise for GRADE 10
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Show Answer Key & Explanations
Step-by-step solution for: Integers interactive exercise for GRADE 10
Let’s solve each problem step by step. We’ll use the rules for multiplying and dividing integers:
- Positive × Positive = Positive
- Negative × Negative = Positive
- Positive × Negative = Negative
- Same rules apply for division.
Also, when there are multiple operations (like in #16, #27–30), we go left to right unless parentheses change the order — but here, all are multiplication/division only, so left to right is fine.
---
1. 4 x 4 =
4 times 4 is 16 → 16
2. -8 x (-4) =
Negative times negative = positive → 8 x 4 = 32 → 32
3. -12 x (-8) =
Negative × negative = positive → 12 x 8 = 96 → 96
4. -7 x (+8) =
Negative × positive = negative → 7 x 8 = 56 → -56
5. 9 x 7 =
Positive × positive = positive → 63 → 63
6. 13 x (-6) =
Positive × negative = negative → 13 x 6 = 78 → -78
7. 10 x 11 =
10 x 11 = 110 → 110
8. 40 x (-8) =
Positive × negative = negative → 40 x 8 = 320 → -320
9. -9 x (-8) =
Negative × negative = positive → 9 x 8 = 72 → 72
10. 7 x (-14) =
Positive × negative = negative → 7 x 14 = 98 → -98
11. -12 x (+12) =
Negative × positive = negative → 12 x 12 = 144 → -144
12. 16 x (-3) =
Positive × negative = negative → 16 x 3 = 48 → -48
13. 5 x (-6) =
Positive × negative = negative → 5 x 6 = 30 → -30
14. -14 x (-6) =
Negative × negative = positive → 14 x 6 = 84 → 84
15. -12 x (-9) =
Negative × negative = positive → 12 x 9 = 108 → 108
16. 6 x (-9) x (10) =
First: 6 x (-9) = -54
Then: -54 x 10 = -540 → -540
17. 15 ÷ 3 =
15 divided by 3 = 5 → 5
18. -20 ÷ 4 =
Negative ÷ positive = negative → 20 ÷ 4 = 5 → -5
19. -150 / 25 =
Negative ÷ positive = negative → 150 ÷ 25 = 6 → -6
20. 122 ÷ 2 =
122 ÷ 2 = 61 → 61
21. -72 ÷ (-12) =
Negative ÷ negative = positive → 72 ÷ 12 = 6 → 6
22. -64 ÷ 4 =
Negative ÷ positive = negative → 64 ÷ 4 = 16 → -16
23. 39 ÷ 3 =
39 ÷ 3 = 13 → 13
24. 60 ÷ 5 =
60 ÷ 5 = 12 → 12
25. 28 ÷ 7 =
28 ÷ 7 = 4 → 4
*(Note: There are two #25s — this is the first one)*
25. -88 ÷ (-8) =
Negative ÷ negative = positive → 88 ÷ 8 = 11 → 11
*(Second #25 — probably a typo, should be #26? But we’ll keep as labeled)*
26. -48 ÷ 3 =
Negative ÷ positive = negative → 48 ÷ 3 = 16 → -16
*(Wait — original says “26. -48 ÷ 3 =” — yes, that’s correct. So second #25 was likely meant to be #26, and this is #27? Let me check numbering again. Actually, looking back: after #24 comes #25 (twice), then #26. So let’s renumber properly based on image:)*
Actually, from the image:
After #24:
25. 28 ÷ 7 =
25. -88 ÷ (-8) = ← duplicate number
26. -48 ÷ 3 =
So we’ll treat them as separate problems with same number — maybe a printing error. We’ll answer both.
We did:
→ First #25: 28 ÷ 7 = 4
→ Second #25: -88 ÷ (-8) = 11
→ #26: -48 ÷ 3 = -16
Now continuing:
27. 14 x (-4) ÷ (-2) =
Left to right:
First: 14 x (-4) = -56
Then: -56 ÷ (-2) = 28 (negative ÷ negative = positive) → 28
28. -15 x (-5) x 3 =
First: -15 x (-5) = 75 (neg × neg = pos)
Then: 75 x 3 = 225 → 225
29. 121 ÷ (-11) x 14 =
Left to right:
First: 121 ÷ (-11) = -11 (pos ÷ neg = neg)
Then: -11 x 14 = -154 → -154
30. -240 ÷ 60 x (-3) =
Left to right:
First: -240 ÷ 60 = -4 (neg ÷ pos = neg)
Then: -4 x (-3) = 12 (neg × neg = pos) → 12
---
Final 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
25. 11
26. -16
27. 28
28. 225
29. -154
30. 12
- Positive × Positive = Positive
- Negative × Negative = Positive
- Positive × Negative = Negative
- Same rules apply for division.
Also, when there are multiple operations (like in #16, #27–30), we go left to right unless parentheses change the order — but here, all are multiplication/division only, so left to right is fine.
---
1. 4 x 4 =
4 times 4 is 16 → 16
2. -8 x (-4) =
Negative times negative = positive → 8 x 4 = 32 → 32
3. -12 x (-8) =
Negative × negative = positive → 12 x 8 = 96 → 96
4. -7 x (+8) =
Negative × positive = negative → 7 x 8 = 56 → -56
5. 9 x 7 =
Positive × positive = positive → 63 → 63
6. 13 x (-6) =
Positive × negative = negative → 13 x 6 = 78 → -78
7. 10 x 11 =
10 x 11 = 110 → 110
8. 40 x (-8) =
Positive × negative = negative → 40 x 8 = 320 → -320
9. -9 x (-8) =
Negative × negative = positive → 9 x 8 = 72 → 72
10. 7 x (-14) =
Positive × negative = negative → 7 x 14 = 98 → -98
11. -12 x (+12) =
Negative × positive = negative → 12 x 12 = 144 → -144
12. 16 x (-3) =
Positive × negative = negative → 16 x 3 = 48 → -48
13. 5 x (-6) =
Positive × negative = negative → 5 x 6 = 30 → -30
14. -14 x (-6) =
Negative × negative = positive → 14 x 6 = 84 → 84
15. -12 x (-9) =
Negative × negative = positive → 12 x 9 = 108 → 108
16. 6 x (-9) x (10) =
First: 6 x (-9) = -54
Then: -54 x 10 = -540 → -540
17. 15 ÷ 3 =
15 divided by 3 = 5 → 5
18. -20 ÷ 4 =
Negative ÷ positive = negative → 20 ÷ 4 = 5 → -5
19. -150 / 25 =
Negative ÷ positive = negative → 150 ÷ 25 = 6 → -6
20. 122 ÷ 2 =
122 ÷ 2 = 61 → 61
21. -72 ÷ (-12) =
Negative ÷ negative = positive → 72 ÷ 12 = 6 → 6
22. -64 ÷ 4 =
Negative ÷ positive = negative → 64 ÷ 4 = 16 → -16
23. 39 ÷ 3 =
39 ÷ 3 = 13 → 13
24. 60 ÷ 5 =
60 ÷ 5 = 12 → 12
25. 28 ÷ 7 =
28 ÷ 7 = 4 → 4
*(Note: There are two #25s — this is the first one)*
25. -88 ÷ (-8) =
Negative ÷ negative = positive → 88 ÷ 8 = 11 → 11
*(Second #25 — probably a typo, should be #26? But we’ll keep as labeled)*
26. -48 ÷ 3 =
Negative ÷ positive = negative → 48 ÷ 3 = 16 → -16
*(Wait — original says “26. -48 ÷ 3 =” — yes, that’s correct. So second #25 was likely meant to be #26, and this is #27? Let me check numbering again. Actually, looking back: after #24 comes #25 (twice), then #26. So let’s renumber properly based on image:)*
Actually, from the image:
After #24:
25. 28 ÷ 7 =
25. -88 ÷ (-8) = ← duplicate number
26. -48 ÷ 3 =
So we’ll treat them as separate problems with same number — maybe a printing error. We’ll answer both.
We did:
→ First #25: 28 ÷ 7 = 4
→ Second #25: -88 ÷ (-8) = 11
→ #26: -48 ÷ 3 = -16
Now continuing:
27. 14 x (-4) ÷ (-2) =
Left to right:
First: 14 x (-4) = -56
Then: -56 ÷ (-2) = 28 (negative ÷ negative = positive) → 28
28. -15 x (-5) x 3 =
First: -15 x (-5) = 75 (neg × neg = pos)
Then: 75 x 3 = 225 → 225
29. 121 ÷ (-11) x 14 =
Left to right:
First: 121 ÷ (-11) = -11 (pos ÷ neg = neg)
Then: -11 x 14 = -154 → -154
30. -240 ÷ 60 x (-3) =
Left to right:
First: -240 ÷ 60 = -4 (neg ÷ pos = neg)
Then: -4 x (-3) = 12 (neg × neg = pos) → 12
---
Final 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
25. 11
26. -16
27. 28
28. 225
29. -154
30. 12
Parent Tip: Review the logic above to help your child master the concept of integer math worksheet.