Let's solve each problem step by step, following the rules for
adding, subtracting, multiplying, and dividing integers.
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Rules to Remember:
1.
Adding Integers:
- Same signs: Add absolute values, keep the sign.
- Different signs: Subtract smaller from larger, use the sign of the larger absolute value.
2.
Subtracting Integers:
- Change subtraction to addition, then change the sign of the second number (additive inverse).
3.
Multiplying/Dividing Integers:
- Same signs → positive result.
- Different signs → negative result.
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Now, let’s go through each problem:
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a) (-4) + 2 = ?
- Different signs: 4 - 2 = 2; take the sign of the larger absolute value →
-2
✔ Answer: -2
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b) 18 ÷ (-36) = ?
- Different signs → negative result
- 18 ÷ 36 = 0.5 →
-0.5
✔ Answer: -0.5
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c) (-5) + 3 = ?
- Different signs: 5 - 3 = 2; larger absolute value is 5 → negative
✔ Answer: -2
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d) 9 ÷ (-3) = ?
- Different signs → negative
- 9 ÷ 3 = 3 →
-3
✔ Answer: -3
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e) 8 + (-5) = ?
- Same as 8 - 5 =
3
✔ Answer: 3
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f) 32 - (-12) = ?
- Subtracting a negative = adding: 32 + 12 =
44
✔ Answer: 44
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g) 6 + (-10) = ?
- Different signs: 10 - 6 = 4; larger abs value is 10 → negative
✔ Answer: -4
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h) 18 - (-30) = ?
- 18 + 30 =
48
✔ Answer: 48
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i) (-7) × 8 = ?
- Different signs → negative
- 7 × 8 = 56 →
-56
✔ Answer: -56
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j) 19 - 38 = ?
- 38 > 19 → negative result
- 38 - 19 = 19 →
-19
✔ Answer: -19
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k) (-9) × 5 = ?
- Different signs → negative
- 9 × 5 = 45 →
-45
✔ Answer: -45
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l) (-7) - 2 = ?
- Same as -7 - 2 =
-9
✔ Answer: -9
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m) (-10) × (-6) = ?
- Same signs → positive
- 10 × 6 = 60 →
+60
✔ Answer: 60
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n) 8 × (-4) = ?
- Different signs → negative
- 8 × 4 = 32 →
-32
✔ Answer: -32
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o) (-8) × 9 = ?
- Different signs → negative
- 8 × 9 = 72 →
-72
✔ Answer: -72
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p) 3 + (-15) = ?
- Different signs: 15 - 3 = 12; larger abs value is 15 → negative
✔ Answer: -12
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q) 24 ÷ (-2) = ?
- Different signs → negative
- 24 ÷ 2 = 12 →
-12
✔ Answer: -12
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r) 16 - (-25) = ?
- Subtracting negative = adding: 16 + 25 =
41
✔ Answer: 41
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s) (-3) ÷ 6 = ?
- Different signs → negative
- 3 ÷ 6 = 0.5 →
-0.5
✔ Answer: -0.5
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t) 26 ÷ (-13) = ?
- Different signs → negative
- 26 ÷ 13 = 2 →
-2
✔ Answer: -2
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✔ Final Answers:
| Problem | Answer |
|--------|--------|
| a | -2 |
| b | -0.5 |
| c | -2 |
| d | -3 |
| e | 3 |
| f | 44 |
| g | -4 |
| h | 48 |
| i | -56 |
| j | -19 |
| k | -45 |
| l | -9 |
| m | 60 |
| n | -32 |
| o | -72 |
| p | -12 |
| q | -12 |
| r | 41 |
| s | -0.5 |
| t | -2 |
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Parent Tip: Review the logic above to help your child master the concept of add subtract multiply divide integers worksheet.
