Let's solve each problem step by step using the number line concept. The key idea is:
-
Adding a positive number: Move to the
right on the number line.
-
Adding a negative number: Move to the
left on the number line.
-
Subtracting a positive number: Move to the
left.
-
Subtracting a negative number: Move to the
right (because subtracting a negative is like adding a positive).
We'll go through each problem:
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1. $(-3) + 4 = ?$
Start at $-3$, move 4 units to the right:
$-3 \to -2 \to -1 \to 0 \to 1$
✔ Answer: 1
---
2. $(-5) + 7 = ?$
Start at $-5$, move 7 units to the right:
$-5 \to -4 \to -3 \to -2 \to -1 \to 0 \to 1 \to 2$
✔ Answer: 2
---
3. $2 - 7 = ?$
This is the same as $2 + (-7)$
Start at $2$, move 7 units to the left:
$2 \to 1 \to 0 \to -1 \to -2 \to -3 \to -4 \to -5$
✔ Answer: -5
---
4. $3 + 2 = ?$
Start at $3$, move 2 units to the right:
$3 \to 4 \to 5$
✔ Answer: 5
---
5. $3 + (-2) = ?$
Same as $3 - 2$: start at $3$, move 2 left:
$3 \to 2 \to 1$
✔ Answer: 1
---
6. $2 + (-8) = ?$
Same as $2 - 8$: start at $2$, move 8 left:
$2 \to 1 \to 0 \to -1 \to -2 \to -3 \to -4 \to -5 \to -6$
✔ Answer: -6
---
7. $(-4) + 11 = ?$
Start at $-4$, move 11 right:
$-4 \to -3 \to -2 \to -1 \to 0 \to 1 \to 2 \to 3 \to 4 \to 5 \to 6 \to 7$
✔ Answer: 7
---
8. $(-3) + 8 = ?$
Start at $-3$, move 8 right:
$-3 \to -2 \to -1 \to 0 \to 1 \to 2 \to 3 \to 4 \to 5$
✔ Answer: 5
---
9. $(-6) + 12 = ?$
Start at $-6$, move 12 right:
$-6 \to -5 \to -4 \to -3 \to -2 \to -1 \to 0 \to 1 \to 2 \to 3 \to 4 \to 5 \to 6$
✔ Answer: 6
---
10. $(-8) + (-1) = ?$
Same as $-8 - 1$: start at $-8$, move 1 left:
$-8 \to -9$
✔ Answer: -9
---
11. $(-2) - (-3) = ?$
Subtracting a negative = adding a positive:
So, $-2 + 3 = ?$
Start at $-2$, move 3 right:
$-2 \to -1 \to 0 \to 1$
✔ Answer: 1
---
12. $4 + (-8) = ?$
Same as $4 - 8$: start at $4$, move 8 left:
$4 \to 3 \to 2 \to 1 \to 0 \to -1 \to -2 \to -3 \to -4$
✔ Answer: -4
---
13. $3 + (-6) = ?$
Same as $3 - 6$: start at $3$, move 6 left:
$3 \to 2 \to 1 \to 0 \to -1 \to -2 \to -3$
✔ Answer: -3
---
14. $8 + (-6) = ?$
Same as $8 - 6$: start at $8$, move 6 left:
$8 \to 7 \to 6 \to 5 \to 4 \to 3 \to 2$
✔ Answer: 2
---
15. $4 + (-4) = ?$
Same as $4 - 4$: start at $4$, move 4 left:
$4 \to 3 \to 2 \to 1 \to 0$
✔ Answer: 0
---
✔ Final Answers:
1. 1
2. 2
3. -5
4. 5
5. 1
6. -6
7. 7
8. 5
9. 6
10. -9
11. 1
12. -4
13. -3
14. 2
15. 0
Let me know if you'd like this formatted for printing or explained with visual number lines!
Parent Tip: Review the logic above to help your child master the concept of addition of integers worksheet.