You're working on
subtracting integers, but as the title says, this sheet also includes
adding positive and negative numbers. The key is to remember:
>
Subtracting a negative number is the same as adding its positive counterpart.
That is:
> `a - (-b) = a + b`
And for addition:
> If signs are different → subtract the smaller absolute value from the larger, and keep the sign of the number with the larger absolute value.
> If signs are the same → add the absolute values and keep the sign.
---
Let’s solve each problem step by step:
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1. (-10) + 5
→ Different signs: 10 > 5 → subtract: 10 - 5 = 5 → sign of larger number (-10) →
-5
2. (-3) + 4
→ Different signs: 4 > 3 → 4 - 3 = 1 → sign of 4 →
+1
3. 7 + (-6)
→ Same as 7 - 6 =
1
4. (-4) + (-2)
→ Same signs → add: 4 + 2 = 6 → keep negative →
-6
5. (-4) + 5
→ Different signs: 5 > 4 → 5 - 4 = 1 → sign of 5 →
+1
6. (-15) - 7
→ Subtracting a positive → (-15) + (-7) =
-22
7. (-9) - (-6)
→ Subtracting a negative → (-9) + 6 → 9 > 6 → 9 - 6 = 3 → sign of -9 →
-3
8. 5 - (-9)
→ Subtracting a negative → 5 + 9 =
14
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9. (-4) + 9
→ Different signs: 9 > 4 → 9 - 4 = 5 → sign of 9 →
+5
10. (-2) + 1
→ Different signs: 2 > 1 → 2 - 1 = 1 → sign of -2 →
-1
11. 6 + (-3)
→ Same as 6 - 3 =
3
12. (-3) + (-5)
→ Same signs → 3 + 5 = 8 → negative →
-8
13. (-1) + 2
→ Different signs: 2 > 1 → 2 - 1 = 1 → sign of 2 →
+1
14. (-3) - 7
→ Subtracting positive → (-3) + (-7) =
-10
15. (-2) - (-6)
→ Subtracting negative → (-2) + 6 → 6 > 2 → 6 - 2 = 4 → sign of 6 →
+4
16. 9 - (-3)
→ Subtracting negative → 9 + 3 =
12
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✔ Final Answers:
1.
-5
2.
1
3.
1
4.
-6
5.
1
6.
-22
7.
-3
8.
14
9.
5
10.
-1
11.
3
12.
-8
13.
1
14.
-10
15.
4
16.
12
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📌
Tip: Always rewrite subtraction of negatives as addition — it makes everything easier!
Example:
`(-9) - (-6)` becomes `(-9) + 6` → then just do regular integer addition.
Let me know if you want a visual number line explanation for any of them!
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting integers worksheet pdf.
