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Practice adding and subtracting integers with this educational worksheet.

Worksheet titled "Adding and Subtracting Integers" with math problems involving positive and negative numbers, colorful geometric background.

Worksheet titled "Adding and Subtracting Integers" with math problems involving positive and negative numbers, colorful geometric background.

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Show Answer Key & Explanations Step-by-step solution for: Adding and Subtracting Integers worksheet for 3
Absolutely! Let’s solve each problem step by step, following the rules for adding and subtracting integers.

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📌 Key Rules to Remember:


1. Adding two numbers with the same sign: Add their absolute values and keep the sign.
- Example: `(-8) + (-2) = -10`
2. Adding two numbers with different signs: Subtract the smaller absolute value from the larger one, and keep the sign of the number with the larger absolute value.
- Example: `3 + (-8) = -5` (because 8 > 3, and -8 is negative)
3. Subtracting a number: Change the subtraction to addition of the opposite.
- Example: `6 - (-4) = 6 + 4 = 10`
- Example: `(-9) - (-4) = (-9) + 4 = -5`

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Now let’s solve all the problems row by row:

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Row 1:


- `3 + (-8)` → Different signs → |8| - |3| = 5, sign of -8 → -5
- `(-9) - (-4)` → = (-9) + 4 → Different signs → |9| - |4| = 5, sign of -9 → -5
- `7 - 5` → Simple subtraction → 2

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Row 2:


- `6 - (-4)` → = 6 + 4 → 10
- `(-4) - (-2)` → = (-4) + 2 → Different signs → |4| - |2| = 2, sign of -4 → -2
- `(-4) - 10` → = (-4) + (-10) → Same sign → 4+10=14, negative → -14

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Row 3:


- `6 - 5` → 1
- `(-2) - 5` → = (-2) + (-5) → Same sign → 2+5=7, negative → -7
- `(-2) - 7` → = (-2) + (-7) → Same sign → -9

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Row 4:


- `(-8) + (-2)` → Same sign → 8+2=10, negative → -10
- `8 + 6` → 14
- `(-9) + 10` → Different signs → |10| - |9| = 1, sign of 10 → 1

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Row 5:


- `8 + (-10)` → Different signs → |10| - |8| = 2, sign of -10 → -2
- `2 - (-10)` → = 2 + 10 → 12
- `8 - 5` → 3

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Row 6:


- `8 - (-2)` → = 8 + 2 → 10
- `1 - (-7)` → = 1 + 7 → 8
- `4 + 2` → 6

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Row 7:


- `(-2) + 6` → Different signs → |6| - |2| = 4, sign of 6 → 4
- `(-4) - 4` → = (-4) + (-4) → Same sign → -8
- `9 - (-7)` → = 9 + 7 → 16

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Row 8:


- `(-1) - 0` → Any number minus 0 is itself → -1
- `7 - 5` → 2
- `(-5) + (-10)` → Same sign → 5+10=15, negative → -15

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Row 9:


- `(-1) - (-2)` → = (-1) + 2 → Different signs → |2| - |1| = 1, sign of 2 → 1
- `(-5) - (-6)` → = (-5) + 6 → Different signs → |6| - |5| = 1, sign of 6 → 1
- `9 - (-9)` → = 9 + 9 → 18

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Row 10:


- `7 - 4` → 3
- `(-2) + 5` → Different signs → |5| - |2| = 3, sign of 5 → 3
- `(-4) - (-10)` → = (-4) + 10 → Different signs → |10| - |4| = 6, sign of 10 → 6

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## 🎯 Final Answer Sheet (All Solved):

```
3 + (-8) = -5 (-9) - (-4) = -5 7 - 5 = 2
6 - (-4) = 10 (-4) - (-2) = -2 (-4) - 10 = -14
6 - 5 = 1 (-2) - 5 = -7 (-2) - 7 = -9
(-8) + (-2) = -10 8 + 6 = 14 (-9) + 10 = 1
8 + (-10) = -2 2 - (-10) = 12 8 - 5 = 3
8 - (-2) = 10 1 - (-7) = 8 4 + 2 = 6
(-2) + 6 = 4 (-4) - 4 = -8 9 - (-7) = 16
(-1) - 0 = -1 7 - 5 = 2 (-5) + (-10) = -15
(-1) - (-2) = 1 (-5) - (-6) = 1 9 - (-9) = 18
7 - 4 = 3 (-2) + 5 = 3 (-4) - (-10) = 6
```

All problems solved correctly using integer operation rules!

Let me know if you’d like this in a printable format or want to check your own answers against this key!
Parent Tip: Review the logic above to help your child master the concept of combining integers worksheet.
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