Let's solve the problem step by step using
number lines to add integers, as shown in the worksheet.
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🔹 Understanding the Concept
To add integers using a number line:
- Start at the
first number (addend).
- If you're adding a
positive integer, move
to the right.
- If you're adding a
negative integer, move
to the left.
- The number of units you move is the value of the second addend.
- The point where you end up is the
sum.
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✔ Example 1: $-3 + 6$
- Start at $-3$.
- Add $+6$: move
6 units to the right.
- You land on $3$.
- So, $-3 + 6 = 3$
✔ Example 2: $7 + (-2)$
- Start at $7$.
- Add $-2$: move
2 units to the left.
- You land on $5$.
- So, $7 + (-2) = 5$
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Now let’s solve each problem using the same method:
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1. $8 + (-4)$
- Start at $8$.
- Add $-4$: move
4 units to the left.
- $8 - 4 = 4$
-
✔ Answer: 4
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2. $-2 + (-5)$
- Start at $-2$.
- Add $-5$: move
5 units to the left.
- $-2 - 5 = -7$
-
✔ Answer: -7
---
3. $-8 + 6$
- Start at $-8$.
- Add $+6$: move
6 units to the right.
- $-8 + 6 = -2$
-
✔ Answer: -2
---
4. $-9 + 2$
- Start at $-9$.
- Add $+2$: move
2 units to the right.
- $-9 + 2 = -7$
-
✔ Answer: -7
---
5. $-7 + (-3)$
- Start at $-7$.
- Add $-3$: move
3 units to the left.
- $-7 - 3 = -10$
-
✔ Answer: -10
---
6. $3 + (-8)$
- Start at $3$.
- Add $-8$: move
8 units to the left.
- $3 - 8 = -5$
-
✔ Answer: -5
---
7. $-8 + 7$
- Start at $-8$.
- Add $+7$: move
7 units to the right.
- $-8 + 7 = -1$
-
✔ Answer: -1
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✔ Final Answers:
1. $8 + (-4) = \boxed{4}$
2. $-2 + (-5) = \boxed{-7}$
3. $-8 + 6 = \boxed{-2}$
4. $-9 + 2 = \boxed{-7}$
5. $-7 + (-3) = \boxed{-10}$
6. $3 + (-8) = \boxed{-5}$
7. $-8 + 7 = \boxed{-1}$
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📌 Tips for Using Number Lines:
- Always start at the first number.
- Use arrows to show direction: → for positive, ← for negative.
- Count the steps carefully!
Let me know if you'd like a visual representation of any of these!
Parent Tip: Review the logic above to help your child master the concept of adding integers worksheet with answer key.
