Math worksheet for practicing operations with negative numbers using a number line.
Worksheet titled "Working with Negative Numbers Activity 1" featuring a number line from -5 to 5 and 25 math problems involving addition and subtraction of negative numbers.
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Step-by-step solution for: Number line with negative numbers: A printable worksheet - Hope Blog
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Show Answer Key & Explanations
Step-by-step solution for: Number line with negative numbers: A printable worksheet - Hope Blog
Let's solve each of the problems step by step using the concept of negative numbers and the number line provided.
We’ll go through each problem, explain how to think about it (especially with negative numbers), and give the correct answer.
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The number line shows integers from -5 to 5.
- Moving right means adding.
- Moving left means subtracting.
For example:
- To do `2 - 3`: Start at 2, move 3 steps left → land on -1.
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Now let’s solve all 25 problems:
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Start at 2, move 3 steps left:
2 → 1 → 0 → -1
✔ Answer: -1
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Start at 1, move 4 steps left:
1 → 0 → -1 → -2 → -3
✔ Answer: -3
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Start at 4, move 5 steps left:
4 → 3 → 2 → 1 → 0 → -1
✔ Answer: -1
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Start at 3, move 6 steps left:
3 → 2 → 1 → 0 → -1 → -2 → -3
✔ Answer: -3
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Start at 2, move 7 steps left:
2 → 1 → 0 → -1 → -2 → -3 → -4 → -5
✔ Answer: -5
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Same as #2:
1 → 0 → -1 → -2 → -3
✔ Answer: -3
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Start at 3, move 4 steps left:
3 → 2 → 1 → 0 → -1
✔ Answer: -1
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Start at 1, move 2 steps left:
1 → 0 → -1
✔ Answer: -1
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Start at 5, move 7 steps left:
5 → 4 → 3 → 2 → 1 → 0 → -1 → -2
✔ Answer: -2
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Start at 4, move 6 steps left:
4 → 3 → 2 → 1 → 0 → -1 → -2
✔ Answer: -2
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Start at 5, move 3 steps left:
5 → 4 → 3 → 2
✔ Answer: 2
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Start at 4, move 2 steps left:
4 → 3 → 2
✔ Answer: 2
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Start at -1, move 3 steps left:
-1 → -2 → -3 → -4
✔ Answer: -4
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Start at -4, move 1 step left:
-4 → -5
✔ Answer: -5
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Start at -2, move 2 steps left:
-2 → -3 → -4
✔ Answer: -4
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Start at 3, move 5 steps left:
3 → 2 → 1 → 0 → -1 → -2
✔ Answer: -2
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Add 3 means move 3 steps right from -4:
-4 → -3 → -2 → -1
✔ Answer: -1
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Move 5 steps right from -2:
-2 → -1 → 0 → 1 → 2 → 3
✔ Answer: 3
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Move 3 steps right from -1:
-1 → 0 → 1 → 2
✔ Answer: 2
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Move 7 steps right from -3:
-3 → -2 → -1 → 0 → 1 → 2 → 3 → 4
✔ Answer: 4
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Move 4 steps right from -5:
-5 → -4 → -3 → -2 → -1
✔ Answer: -1
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Move 6 steps right from -2:
-2 → -1 → 0 → 1 → 2 → 3 → 4
✔ Answer: 4
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Move 1 step right from -5:
-5 → -4
✔ Answer: -4
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Start at 0, move 3 steps left:
0 → -1 → -2 → -3
✔ Answer: -3
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Move 5 steps right from -5:
-5 → -4 → -3 → -2 → -1 → 0
✔ Answer: 0
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## ✔ Final Answers:
| Question | Answer |
|--------|--------|
| 1. 2 – 3 | -1 |
| 2. 1 – 4 | -3 |
| 3. 4 – 5 | -1 |
| 4. 3 – 6 | -3 |
| 5. 2 – 7 | -5 |
| 6. 1 – 4 | -3 |
| 7. 3 – 4 | -1 |
| 8. 1 – 2 | -1 |
| 9. 5 – 7 | -2 |
|10. 4 – 6 | -2 |
|11. 5 – 3 | 2 |
|12. 4 – 2 | 2 |
|13. -1 – 3 | -4 |
|14. -4 – 1 | -5 |
|15. -2 – 2 | -4 |
|16. 3 – 5 | -2 |
|17. -4 + 3 | -1 |
|18. -2 + 5 | 3 |
|19. -1 + 3 | 2 |
|20. -3 + 7 | 4 |
|21. -5 + 4 | -1 |
|22. -2 + 6 | 4 |
|23. -5 + 1 | -4 |
|24. 0 – 3 | -3 |
|25. -5 + 5 | 0 |
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- Subtracting a positive number: Move left on the number line.
- Adding a positive number: Move right.
- Negative numbers are less than zero, so moving left goes into negatives.
- When you add or subtract, always start at the first number and move accordingly.
Let me know if you'd like this turned into a printable worksheet or explained in a video format! 😊
We’ll go through each problem, explain how to think about it (especially with negative numbers), and give the correct answer.
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🔹 Understanding the Number Line
The number line shows integers from -5 to 5.
- Moving right means adding.
- Moving left means subtracting.
For example:
- To do `2 - 3`: Start at 2, move 3 steps left → land on -1.
---
Now let’s solve all 25 problems:
---
1. 2 – 3 = ?
Start at 2, move 3 steps left:
2 → 1 → 0 → -1
✔ Answer: -1
---
2. 1 – 4 = ?
Start at 1, move 4 steps left:
1 → 0 → -1 → -2 → -3
✔ Answer: -3
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3. 4 – 5 = ?
Start at 4, move 5 steps left:
4 → 3 → 2 → 1 → 0 → -1
✔ Answer: -1
---
4. 3 – 6 = ?
Start at 3, move 6 steps left:
3 → 2 → 1 → 0 → -1 → -2 → -3
✔ Answer: -3
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5. 2 – 7 = ?
Start at 2, move 7 steps left:
2 → 1 → 0 → -1 → -2 → -3 → -4 → -5
✔ Answer: -5
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6. 1 – 4 = ?
Same as #2:
1 → 0 → -1 → -2 → -3
✔ Answer: -3
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7. 3 – 4 = ?
Start at 3, move 4 steps left:
3 → 2 → 1 → 0 → -1
✔ Answer: -1
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8. 1 – 2 = ?
Start at 1, move 2 steps left:
1 → 0 → -1
✔ Answer: -1
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9. 5 – 7 = ?
Start at 5, move 7 steps left:
5 → 4 → 3 → 2 → 1 → 0 → -1 → -2
✔ Answer: -2
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10. 4 – 6 = ?
Start at 4, move 6 steps left:
4 → 3 → 2 → 1 → 0 → -1 → -2
✔ Answer: -2
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11. 5 – 3 = ?
Start at 5, move 3 steps left:
5 → 4 → 3 → 2
✔ Answer: 2
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12. 4 – 2 = ?
Start at 4, move 2 steps left:
4 → 3 → 2
✔ Answer: 2
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13. -1 – 3 = ?
Start at -1, move 3 steps left:
-1 → -2 → -3 → -4
✔ Answer: -4
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14. -4 – 1 = ?
Start at -4, move 1 step left:
-4 → -5
✔ Answer: -5
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15. -2 – 2 = ?
Start at -2, move 2 steps left:
-2 → -3 → -4
✔ Answer: -4
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16. 3 – 5 = ?
Start at 3, move 5 steps left:
3 → 2 → 1 → 0 → -1 → -2
✔ Answer: -2
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17. -4 + 3 = ?
Add 3 means move 3 steps right from -4:
-4 → -3 → -2 → -1
✔ Answer: -1
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18. -2 + 5 = ?
Move 5 steps right from -2:
-2 → -1 → 0 → 1 → 2 → 3
✔ Answer: 3
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19. -1 + 3 = ?
Move 3 steps right from -1:
-1 → 0 → 1 → 2
✔ Answer: 2
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20. -3 + 7 = ?
Move 7 steps right from -3:
-3 → -2 → -1 → 0 → 1 → 2 → 3 → 4
✔ Answer: 4
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21. -5 + 4 = ?
Move 4 steps right from -5:
-5 → -4 → -3 → -2 → -1
✔ Answer: -1
---
22. -2 + 6 = ?
Move 6 steps right from -2:
-2 → -1 → 0 → 1 → 2 → 3 → 4
✔ Answer: 4
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23. -5 + 1 = ?
Move 1 step right from -5:
-5 → -4
✔ Answer: -4
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24. 0 – 3 = ?
Start at 0, move 3 steps left:
0 → -1 → -2 → -3
✔ Answer: -3
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25. -5 + 5 = ?
Move 5 steps right from -5:
-5 → -4 → -3 → -2 → -1 → 0
✔ Answer: 0
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## ✔ Final Answers:
| Question | Answer |
|--------|--------|
| 1. 2 – 3 | -1 |
| 2. 1 – 4 | -3 |
| 3. 4 – 5 | -1 |
| 4. 3 – 6 | -3 |
| 5. 2 – 7 | -5 |
| 6. 1 – 4 | -3 |
| 7. 3 – 4 | -1 |
| 8. 1 – 2 | -1 |
| 9. 5 – 7 | -2 |
|10. 4 – 6 | -2 |
|11. 5 – 3 | 2 |
|12. 4 – 2 | 2 |
|13. -1 – 3 | -4 |
|14. -4 – 1 | -5 |
|15. -2 – 2 | -4 |
|16. 3 – 5 | -2 |
|17. -4 + 3 | -1 |
|18. -2 + 5 | 3 |
|19. -1 + 3 | 2 |
|20. -3 + 7 | 4 |
|21. -5 + 4 | -1 |
|22. -2 + 6 | 4 |
|23. -5 + 1 | -4 |
|24. 0 – 3 | -3 |
|25. -5 + 5 | 0 |
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📌 Key Tips:
- Subtracting a positive number: Move left on the number line.
- Adding a positive number: Move right.
- Negative numbers are less than zero, so moving left goes into negatives.
- When you add or subtract, always start at the first number and move accordingly.
Let me know if you'd like this turned into a printable worksheet or explained in a video format! 😊
Parent Tip: Review the logic above to help your child master the concept of positive negative numbers worksheet.