Let's solve each problem step by step using the number line method as shown in the worksheet.
---
Understanding the Rules:
- To
add a positive integer, move
right on the number line.
- To
add a negative integer, move
left on the number line.
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Problem a. $ 4 + (-6) = ? $
- Start at
4 on the number line.
- Add
-6, so move
6 units to the left.
- From 4 → 3 → 2 → 1 → 0 → -1 → -2
- Final answer:
-2
✔ $ 4 + (-6) = -2 $
---
Problem b. $ -3 + 6 = ? $
- Start at
-3.
- Add
6, so move
6 units to the right.
- From -3 → -2 → -1 → 0 → 1 → 2 → 3
- Final answer:
3
✔ $ -3 + 6 = 3 $
---
Problem c. $ -1 + (-2) = ? $
- Start at
-1.
- Add
-2, so move
2 units to the left.
- From -1 → -2 → -3
- Final answer:
-3
✔ $ -1 + (-2) = -3 $
---
Problem d. $ 0 + (-5) = ? $
- Start at
0.
- Add
-5, so move
5 units to the left.
- From 0 → -1 → -2 → -3 → -4 → -5
- Final answer:
-5
✔ $ 0 + (-5) = -5 $
---
Problem e. $ -4 + 5 = ? $
- Start at
-4.
- Add
5, so move
5 units to the right.
- From -4 → -3 → -2 → -1 → 0 → 1
- Final answer:
1
✔ $ -4 + 5 = 1 $
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✔ Final Answers:
a. $ 4 + (-6) = \boxed{-2} $
b. $ -3 + 6 = \boxed{3} $
c. $ -1 + (-2) = \boxed{-3} $
d. $ 0 + (-5) = \boxed{-5} $
e. $ -4 + 5 = \boxed{1} $
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You can now fill these answers into the worksheet! Let me know if you'd like a visual explanation with arrows on the number lines.
Parent Tip: Review the logic above to help your child master the concept of adding integers number line worksheet pdf.
