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 use the sign of the number with the larger absolute value.
---
1. $-4 + 3$
We are adding a positive 3 to -4. Think of it as moving 3 units to the right on a number line from -4:
$$
-4 + 3 = -1
$$
---
2. $8 + (-10)$
This is the same as $8 - 10$:
$$
8 - 10 = -2
$$
---
3. $-3 + (-5)$
Adding two negatives: add their absolute values and keep the negative sign:
$$
-3 - 5 = -8
$$
---
4. $11 + (-7)$
Same as $11 - 7$:
$$
11 - 7 = 4
$$
---
5. $6 + (-1)$
Same as $6 - 1$:
$$
6 - 1 = 5
$$
---
6. $-9 + (-2)$
Add the absolute values and keep the negative sign:
$$
-9 - 2 = -11
$$
---
7. $-12 + 5$
Think of it as $5 - 12$, since we're starting at -12 and adding 5:
$$
-12 + 5 = -7
$$
---
8. $(-2) + (-4)$
Add the absolute values and keep the negative sign:
$$
-2 - 4 = -6
$$
---
9. $7 + (-13)$
Same as $7 - 13$:
$$
7 - 13 = -6
$$
---
10. $-6 + 8$
Start at -6 and move 8 units to the right:
$$
-6 + 8 = 2
$$
---
Final Answers:
| Problem | Answer |
|--------|--------|
| $-4 + 3$ | $-1$ |
| $8 + (-10)$ | $-2$ |
| $-3 + (-5)$ | $-8$ |
| $11 + (-7)$ | $4$ |
| $6 + (-1)$ | $5$ |
| $-9 + (-2)$ | $-11$ |
| $-12 + 5$ | $-7$ |
| $(-2) + (-4)$ | $-6$ |
| $7 + (-13)$ | $-6$ |
| $-6 + 8$ | $2$ |
✔ All solved! Let me know if you'd like a visual explanation (like using a number line).
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting negative and positive numbers worksheet.
