Subtracting Integers (-10 to +10) Worksheets | Grade 6 - Free Printable

Here is the complete solution to the “Subtracting Integers” worksheet for Grade 6, with step-by-step explanations for each problem.

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🔢 Key Rule for Subtracting Integers:

> Subtracting a number is the same as adding its opposite.
>
> So:
> `a - b = a + (-b)`
> `a - (-b) = a + b`

This means:
- If you subtract a positive, you move left on the number line.
- If you subtract a negative, you move right (because it’s like adding a positive).

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## ✔ Solutions with Explanations:

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i. `-3 - 7 = ?`

→ Subtracting 7 from -3:
`-3 - 7 = -3 + (-7) = -10`

✔ Answer: -10

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ii. `7 - 3 = ?`

→ Simple subtraction:
`7 - 3 = 4`

✔ Answer: 4

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iii. `-4 - 6 = ?`

→ Subtracting 6 from -4:
`-4 - 6 = -4 + (-6) = -10`

✔ Answer: -10

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iv. `5 - 10 = ?`

→ 5 minus 10:
`5 - 10 = -5`

✔ Answer: -5

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v. `-9 - -9 = ?`

→ Subtracting a negative is adding a positive:
`-9 - (-9) = -9 + 9 = 0`

✔ Answer: 0

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vi. `7 - -6 = ?`

→ Subtracting negative 6:
`7 - (-6) = 7 + 6 = 13`

✔ Answer: 13

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vii. `-8 - 8 = ?`

→ Subtracting 8 from -8:
`-8 - 8 = -8 + (-8) = -16`

✔ Answer: -16

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viii. `-5 - -9 = ?`

→ Subtracting negative 9:
`-5 - (-9) = -5 + 9 = 4`

✔ Answer: 4

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ix. `6 - -4 = ?`

→ Subtracting negative 4:
`6 - (-4) = 6 + 4 = 10`

✔ Answer: 10

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x. `7 - 3 = ?`

→ Same as #ii:
`7 - 3 = 4`

✔ Answer: 4

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xi. `8 - -4 = ?`

→ Subtracting negative 4:
`8 - (-4) = 8 + 4 = 12`

✔ Answer: 12

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xii. `9 - -5 = ?`

→ Subtracting negative 5:
`9 - (-5) = 9 + 5 = 14`

✔ Answer: 14

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xiii. `10 - -6 = ?`

→ Subtracting negative 6:
`10 - (-6) = 10 + 6 = 16`

✔ Answer: 16

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xiv. `7 - -5 = ?`

→ Subtracting negative 5:
`7 - (-5) = 7 + 5 = 12`

✔ Answer: 12

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xv. `8 - -1 = ?`

→ Subtracting negative 1:
`8 - (-1) = 8 + 1 = 9`

✔ Answer: 9

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xvi. `-9 - 8 = ?`

→ Subtracting 8 from -9:
`-9 - 8 = -9 + (-8) = -17`

✔ Answer: -17

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xvii. `-6 - 0 = ?`

→ Anything minus zero is itself:
`-6 - 0 = -6`

✔ Answer: -6

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xviii. `8 - 0 = ?`

→ 8 minus zero:
`8 - 0 = 8`

✔ Answer: 8

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xix. `5 - -5 = ?`

→ Subtracting negative 5:
`5 - (-5) = 5 + 5 = 10`

✔ Answer: 10

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xx. `-3 - +5 = ?`

→ This is the same as `-3 - 5` (since +5 is just 5):
`-3 - 5 = -3 + (-5) = -8`

✔ Answer: -8

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## 📝 Final Answer Sheet:

| Problem | Answer |
|---------|--------|
| i. | -10 |
| ii. | 4 |
| iii. | -10 |
| iv. | -5 |
| v. | 0 |
| vi. | 13 |
| vii. | -16 |
| viii. | 4 |
| ix. | 10 |
| x. | 4 |
| xi. | 12 |
| xii. | 14 |
| xiii. | 16 |
| xiv. | 12 |
| xv. | 9 |
| xvi. | -17 |
| xvii. | -6 |
| xviii. | 8 |
| xix. | 10 |
| xx. | -8 |

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## 💡 Tip for Students:
Always remember:
> “Minus a negative becomes plus!”
> Example: `a - (-b) = a + b`

And if you’re unsure, use a number line — start at the first number, then move left for subtracting positives, right for subtracting negatives.

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Let me know if you’d like a printable version or more practice problems! 😊