Let's solve each of these addition problems involving negative numbers step by step. The key rule to remember is:
-
Adding a negative number is the same as
subtracting a positive number.
- When adding two negative numbers, add their absolute values and keep the negative sign.
- When adding a positive and a negative number, subtract the smaller absolute value from the larger one and keep the sign of the number with the larger absolute value.
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1. $-4 + 3$
We are adding a negative and a positive:
- $|-4| = 4$, $|3| = 3$
- $4 - 3 = 1$, and since $-4$ has the larger absolute value, the result is
negative.
- So, $-4 + 3 = -1$
✔ Answer: -1
---
2. $8 + (-10)$
Same as $8 - 10$:
- $10 - 8 = 2$, and since $-10$ has the larger absolute value, result is negative.
- So, $8 + (-10) = -2$
✔ Answer: -2
---
3. $-3 + (-5)$
Two negatives: add absolute values and keep negative sign.
- $3 + 5 = 8$, so $-3 + (-5) = -8$
✔ Answer: -8
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4. $11 + (-7)$
Same as $11 - 7 = 4$
✔ Answer: 4
---
5. $6 + (-1)$
Same as $6 - 1 = 5$
✔ Answer: 5
---
6. $-9 + (-2)$
Add absolute values: $9 + 2 = 11$, both negative → result is $-11$
✔ Answer: -11
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7. $-12 + 5$
Same as $-12 + 5$: $12 - 5 = 7$, and since $-12$ has larger absolute value, result is negative.
So, $-12 + 5 = -7$
✔ Answer: -7
---
8. $(-2) + (-4)$
Add absolute values: $2 + 4 = 6$, both negative → $-6$
✔ Answer: -6
---
9. $7 + (-13)$
Same as $7 - 13 = -6$
✔ Answer: -6
---
10. $-6 + 8$
Same as $8 - 6 = 2$, and since $8$ is positive and has larger absolute value, result is positive.
✔ Answer: 2
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✔ Final Answers:
| Problem | Answer |
|--------|--------|
| $-4 + 3$ |
-1 |
| $8 + (-10)$ |
-2 |
| $-3 + (-5)$ |
-8 |
| $11 + (-7)$ |
4 |
| $6 + (-1)$ |
5 |
| $-9 + (-2)$ |
-11 |
| $-12 + 5$ |
-7 |
| $(-2) + (-4)$ |
-6 |
| $7 + (-13)$ |
-6 |
| $-6 + 8$ |
2 |
Let me know if you'd like this explained visually (e.g., using a number line)!
Parent Tip: Review the logic above to help your child master the concept of subtracting negative integers worksheet.