Let’s solve each problem step by step. We’ll go one at a time, carefully checking signs and operations.
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1. (–23) + 6 =
Start at –23 on the number line. Add 6 → move right 6 steps:
–23 → –22 → –21 → –20 → –19 → –18 →
–17
✔ Answer:
–17
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2. (–2) × 4 =
Negative times positive = negative.
2 × 4 = 8 → so answer is
–8
✔ Answer:
–8
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3. 20 + (–8) =
Adding a negative is like subtracting:
20 – 8 =
12
✔ Answer:
12
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4. (–64) ÷ 4 =
Negative divided by positive = negative.
64 ÷ 4 = 16 → so answer is
–16
✔ Answer:
–16
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5. 25 + (–2) =
Again, adding negative = subtracting:
25 – 2 =
23
✔ Answer:
23
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6. (–3) × (–7) =
Negative times negative = positive.
3 × 7 = 21 → so answer is
21
✔ Answer:
21
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7. 7 – (–3) =
Subtracting a negative = adding the positive:
7 + 3 =
10
✔ Answer:
10
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8. 16 ÷ (–2) =
Positive divided by negative = negative.
16 ÷ 2 = 8 → so answer is
–8
✔ Answer:
–8
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9. (–8) + (–7) =
Adding two negatives: add their absolute values and keep the negative sign.
8 + 7 = 15 → so answer is
–15
✔ Answer:
–15
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10. 8 × (–1) =
Positive times negative = negative.
8 × 1 = 8 → so answer is
–8
✔ Answer:
–8
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11. 15 + (–6) =
Add negative = subtract:
15 – 6 =
9
✔ Answer:
9
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12. (–25) ÷ (–5) =
Negative divided by negative = positive.
25 ÷ 5 = 5 → so answer is
5
✔ Answer:
5
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13. (–23) + 6 =
Same as #1 →
–17
✔ Answer:
–17
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14. (–10) × (–10) =
Negative × negative = positive.
10 × 10 = 100 → so answer is
100
✔ Answer:
100
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15. (–(–5)) – (–6) =
First, simplify inside:
–(–5) = +5
Then: 5 – (–6) = 5 + 6 =
11
✔ Answer:
11
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16. (–45) ÷ (–9) =
Negative ÷ negative = positive.
45 ÷ 9 = 5 → so answer is
5
✔ Answer:
5
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17. 19 – (–1) =
Subtracting negative = adding positive:
19 + 1 =
20
✔ Answer:
20
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18. 5 × (–8) =
Positive × negative = negative.
5 × 8 = 40 → so answer is
–40
✔ Answer:
–40
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19. 4 + (–16) =
Add negative = subtract:
4 – 16 =
–12
✔ Answer:
–12
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20. 28 ÷ (–7) =
Positive ÷ negative = negative.
28 ÷ 7 = 4 → so answer is
–4
✔ Answer:
–4
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Final Answer:
1. –17
2. –8
3. 12
4. –16
5. 23
6. 21
7. 10
8. –8
9. –15
10. –8
11. 9
12. 5
13. –17
14. 100
15. 11
16. 5
17. 20
18. –40
19. –12
20. –4
Parent Tip: Review the logic above to help your child master the concept of math worksheet negative numbers.
