Let's solve each problem step by step using the number line method, as shown in the examples.
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Understanding the Number Line Method:
- Start at the first number.
- If you're adding a
positive number, move
right on the number line.
- If you're adding a
negative number, move
left on the number line.
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Examples (Given):
1.
4 + (-5)
- Start at 4.
- Move 5 units to the left → ends at
-1 ✔
2.
-2 + 2
- Start at -2.
- Move 2 units to the right → ends at
0 ✔
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Now let’s solve the problems:
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a. -3 + 7
- Start at
-3
- Add
+7, so move
7 units to the right
- From -3 → -2, -1, 0, 1, 2, 3, 4
- End at
4
✔ Answer: 4
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b. 2 + (-5)
- Start at
2
- Add
-5, so move
5 units to the left
- From 2 → 1, 0, -1, -2, -3
- End at
-3
✔ Answer: -3
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c. -1 + (-2)
- Start at
-1
- Add
-2, so move
2 units to the left
- From -1 → -2, -3
- End at
-3
✔ Answer: -3
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d. 6 + (-4)
- Start at
6
- Add
-4, so move
4 units to the left
- From 6 → 5, 4, 3, 2
- End at
2
✔ Answer: 2
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e. -6 + 12
- Start at
-6
- Add
+12, so move
12 units to the right
- From -6 → -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6
- End at
6
✔ Answer: 6
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f. 0 + (-1)
- Start at
0
- Add
-1, so move
1 unit to the left
- End at
-1
✔ Answer: -1
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✔ Final Answers:
a.
4
b.
-3
c.
-3
d.
2
e.
6
f.
-1
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You can now fill these answers into the worksheet! Let me know if you'd like a visual explanation for any of them.
Parent Tip: Review the logic above to help your child master the concept of adding integers with the same sign worksheet.
