Let’s go through each problem one by one, carefully applying the rules for operations with positive and negative numbers.
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Rules to remember:
-
Addition:
- Same signs? Add and keep the sign.
- Different signs? Subtract the smaller absolute value from the larger, and take the sign of the number with the larger absolute value.
-
Subtraction:
- Change subtraction to addition, and change the sign of the second number (e.g., 7 – (-3) becomes 7 + 3).
-
Multiplication/Division:
- Same signs → result is positive.
- Different signs → result is negative.
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Now solve each:
1.
(-23) + 6
→ Different signs. 23 - 6 = 17. Negative has larger absolute value →
-17
2.
(-2) × 4
→ Different signs → negative. 2 × 4 = 8 →
-8
3.
20 + (-8)
→ Different signs. 20 - 8 = 12. Positive has larger absolute value →
12
4.
(-64) ÷ 4
→ Different signs → negative. 64 ÷ 4 = 16 →
-16
5.
25 + (-2)
→ Different signs. 25 - 2 = 23. Positive has larger →
23
6.
(-3) × (-7)
→ Same signs → positive. 3 × 7 = 21 →
21
7.
7 – (-3)
→ Subtracting a negative = adding. 7 + 3 =
10
8.
16 ÷ (-2)
→ Different signs → negative. 16 ÷ 2 = 8 →
-8
9.
(-8) + (-7)
→ Same signs → add and keep sign. 8 + 7 = 15 →
-15
10.
8 × (-1)
→ Different signs → negative. 8 × 1 = 8 →
-8
11.
15 + (-6)
→ Different signs. 15 - 6 = 9. Positive has larger →
9
12.
(-25) ÷ (-5)
→ Same signs → positive. 25 ÷ 5 = 5 →
5
13.
(-23) + 6
→ Same as #1 →
-17
14.
(-10) × (-10)
→ Same signs → positive. 10 × 10 = 100 →
100
15.
(-(-5)) – (-6)
→ First, -(-5) = +5. Then, –(-6) = +6. So: 5 + 6 =
11
16.
(-45) ÷ (-9)
→ Same signs → positive. 45 ÷ 9 = 5 →
5
17.
19 – (-1)
→ Subtracting negative = adding. 19 + 1 =
20
18.
5 × (-8)
→ Different signs → negative. 5 × 8 = 40 →
-40
19.
4 + (-16)
→ Different signs. 16 - 4 = 12. Negative has larger →
-12
20.
28 ÷ (-7)
→ Different signs → negative. 28 ÷ 7 = 4 →
-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 negative worksheet.
