Let’s solve each problem one by one. Remember the rules for multiplying negative numbers:
- Positive × Positive = Positive
- Negative × Positive = Negative
- Positive × Negative = Negative
- Negative × Negative = Positive
Also, when you multiply a number by a fraction, just multiply the whole number by the numerator and keep the denominator — then simplify if needed.
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1. 3 × 4 =
3 times 4 is 12 →
12
2. –3 × 4 =
Negative times positive = negative → 3×4=12 → so
–12
3. 4 × –3 =
Positive times negative = negative → 4×3=12 → so
–12
4. –4 × –3 =
Negative times negative = positive → 4×3=12 → so
12
5. –40 × 3 =
Negative × positive = negative → 40×3=120 → so
–120
6. –80 × 3 =
Same rule → 80×3=240 → so
–240
7. –3 × 80 =
Negative × positive = negative → 3×80=240 → so
–240
8. –6 × 80 =
6×80=480 → negative result →
–480
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Now let’s do the ones with fractions (problems 13–15):
13. –6 × –½ =
Negative × negative = positive
6 × ½ = 3 → so
3
14. –12 × –½ =
Negative × negative = positive
12 × ½ = 6 → so
6
15. –12 × –⅓ =
Negative × negative = positive
12 × ⅓ = 4 → so
4
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Back to regular multiplication:
16. –3 × 3 =
Negative × positive = negative → 3×3=9 → so
–9
17. –3 × –3 =
Negative × negative = positive → 3×3=9 → so
9
18. –4 × –4 =
Negative × negative = positive → 4×4=16 → so
16
19. –5 × –5 =
Same → 5×5=25 → so
25
20. –10 × –10 =
Negative × negative = positive → 10×10=100 → so
100
21. –10 × –10 × 2 =
First: –10 × –10 = 100 (positive)
Then: 100 × 2 = 200 → so
200
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Final Answer:
1. 12
2. -12
3. -12
4. 12
5. -120
6. -240
7. -240
8. -480
13. 3
14. 6
15. 4
16. -9
17. 9
18. 16
19. 25
20. 100
21. 200
Parent Tip: Review the logic above to help your child master the concept of multiplying negative numbers worksheet.