Dividing Integers Worksheets - Free Printable

You're absolutely right to point out the title says “SUBTRACTING INTEGERS,” but many of the problems are actually adding integers. That’s a common point of confusion! The key is understanding that subtracting a number is the same as adding its opposite.

Let’s solve each problem step by step and explain the rules.

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📌 Key Rules for Adding and Subtracting Integers:

1. Adding two numbers with the same sign: Add their absolute values, keep the sign.
- Example: `(-4) + (-2) = -6`
- Example: `5 + 3 = 8`

2. Adding two numbers with different signs: Subtract the smaller absolute value from the larger one, keep the sign of the number with the larger absolute value.
- Example: `(-10) + 5 = -5` (because 10 > 5, and negative has larger abs value)

3. Subtracting a number: Change subtraction to addition of the opposite.
- Example: `a - b = a + (-b)`
- Example: `5 - (-9) = 5 + 9 = 14`

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Now let’s solve each problem:

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🔢 Left Column

1. (-10) + 5 = ?

- Different signs → subtract: 10 - 5 = 5
- Keep sign of larger absolute value → negative
→ Answer: -5

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2. (-3) + 4 = ?

- Different signs → subtract: 4 - 3 = 1
- Keep sign of larger absolute value → positive
→ Answer: 1

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3. 7 + (-6) = ?

- Same as 7 - 6 = 1
→ Answer: 1

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4. (-4) + (-2) = ?

- Same sign → add: 4 + 2 = 6, keep negative
→ Answer: -6

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5. (-4) + 5 = ?

- Different signs → subtract: 5 - 4 = 1
- Positive has larger abs value
→ Answer: 1

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6. (-15) - 7 = ?

- Subtracting 7 → add -7: `(-15) + (-7)`
- Same sign → add: 15 + 7 = 22, keep negative
→ Answer: -22

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7. (-9) - (-6) = ?

- Subtracting -6 → add +6: `(-9) + 6`
- Different signs → 9 - 6 = 3, keep negative
→ Answer: -3

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8. 5 - (-9) = ?

- Subtracting -9 → add +9: `5 + 9 = 14`
→ Answer: 14

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🔢 Right Column

9. (-4) + 9 = ?

- Different signs → 9 - 4 = 5, positive wins
→ Answer: 5

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10. (-2) + 1 = ?

- Different signs → 2 - 1 = 1, negative wins
→ Answer: -1

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11. 6 + (-3) = ?

- Same as 6 - 3 = 3
→ Answer: 3

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12. (-3) + (-5) = ?

- Same sign → 3 + 5 = 8, keep negative
→ Answer: -8

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13. (-1) + 2 = ?

- Different signs → 2 - 1 = 1, positive wins
→ Answer: 1

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14. (-3) - 7 = ?

- Subtract 7 → add -7: `(-3) + (-7) = -10`
→ Answer: -10

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15. (-2) - (-6) = ?

- Subtract -6 → add +6: `(-2) + 6 = 4`
→ Answer: 4

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16. 9 - (-3) = ?

- Subtract -3 → add +3: `9 + 3 = 12`
→ Answer: 12

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## ✔ Final Answers:

| Problem | Answer |
|---------|--------|
| 1 | -5 |
| 2 | 1 |
| 3 | 1 |
| 4 | -6 |
| 5 | 1 |
| 6 | -22|
| 7 | -3 |
| 8 | 14 |
| 9 | 5 |
| 10 | -1 |
| 11 | 3 |
| 12 | -8 |
| 13 | 1 |
| 14 | -10|
| 15 | 4 |
| 16 | 12 |

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✔ Summary Tip: Always remember — “Subtracting is adding the opposite.” That single rule turns every subtraction problem into an addition problem, which is easier to handle using the rules above!

Let me know if you’d like a visual number line explanation for any of these!