Let's solve each problem step by step using the
number line method. The idea is to start at the first number and move left or right depending on the second number:
-
Adding a positive number: Move
right on the number line.
-
Adding a negative number: Move
left on the number line.
---
1) 7 + (-5)
- Start at
7 on the number line.
- Add
-5, which means move
5 units to the left.
- From 7 → 6, 5, 4, 3, 2.
-
Answer: 2
✔ 7 + (-5) = 2
---
2) -6 + 1
- Start at
-6.
- Add
1, so move
1 unit to the right.
- From -6 → -5.
-
Answer: -5
✔ -6 + 1 = -5
---
3) -2 + (-4)
- Start at
-2.
- Add
-4, so move
4 units to the left.
- From -2 → -3, -4, -5, -6.
-
Answer: -6
✔ -2 + (-4) = -6
---
4) 0 + 6
- Start at
0.
- Add
6, so move
6 units to the right.
- 0 → 1, 2, 3, 4, 5, 6.
-
Answer: 6
✔ 0 + 6 = 6
---
5) 5 + (-10)
- Start at
5.
- Add
-10, so move
10 units to the left.
- From 5 → 4, 3, 2, 1, 0, -1, -2, -3, -4, -5.
-
Answer: -5
✔ 5 + (-10) = -5
---
✔ Final Answers:
1)
2
2)
-5
3)
-6
4)
6
5)
-5
You can now fill these in on the worksheet!
Let me know if you'd like a visual explanation with arrows on the number line!
Parent Tip: Review the logic above to help your child master the concept of adding integers using a number line worksheet.