Math worksheet practicing all operations with integers, including positive and negative numbers.

Let's solve each problem step by step, following the rules for operations with integers, especially paying attention to signs.

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Rules Reminder:

- Addition/Subtraction:
- Same signs: Add and keep the sign.
- Different signs: Subtract and take the sign of the larger absolute value.
- Multiplication/Division:
- Same signs: Positive result.
- Different signs: Negative result.

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Now let’s go through each row:

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Column 1:

1. $ 8 + 10 = 18 $
→ Both positive → $ 8 + 10 = 18 $

2. $ 7 + (-8) = -1 $
→ Different signs → $ 8 - 7 = 1 $, negative wins → $ -1 $

3. $ 7 + 6 = 13 $
→ Both positive → $ 7 + 6 = 13 $

4. $ (-3) + 11 = 8 $
→ Different signs → $ 11 - 3 = 8 $, positive wins → $ 8 $

5. $ (-8) \times 4 = -32 $
→ Different signs → negative → $ 8 \times 4 = 32 $ → $ -32 $

6. $ 3 + (-11) = -8 $
→ Different signs → $ 11 - 3 = 8 $, negative wins → $ -8 $

7. $ (-8) \times (-4) = 32 $
→ Same signs (both negative) → positive → $ 8 \times 4 = 32 $

8. $ 35 \div 5 = 7 $
→ Both positive → $ 35 \div 5 = 7 $

9. $ (-7) - 7 = -14 $
→ Subtracting a positive is like adding a negative → $ -7 - 7 = -14 $

10. $ 2 \times 8 = 16 $
→ Both positive → $ 2 \times 8 = 16 $

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Column 2:

1. $ 10 + 9 = 19 $
→ Both positive → $ 10 + 9 = 19 $

2. $ 16 \div (-4) = -4 $
→ Different signs → negative → $ 16 \div 4 = 4 $ → $ -4 $

3. $ 8 \times (-10) = -80 $
→ Different signs → negative → $ 8 \times 10 = 80 $ → $ -80 $

4. $ (-2) + 5 = 3 $
→ Different signs → $ 5 - 2 = 3 $, positive wins → $ 3 $

5. $ (-9) \times 6 = -54 $
→ Different signs → negative → $ 9 \times 6 = 54 $ → $ -54 $

6. $ 1 \times (-7) = -7 $
→ Different signs → negative → $ 1 \times 7 = 7 $ → $ -7 $

7. $ (-7) \times (-3) = 21 $
→ Same signs → positive → $ 7 \times 3 = 21 $

8. $ 7 - 6 = 1 $
→ $ 7 - 6 = 1 $

9. $ 9 - 8 = 1 $
→ $ 9 - 8 = 1 $

10. $ 4 - 10 = -6 $
→ $ 4 - 10 = -6 $

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Column 3:

1. $ 2 - 5 = -3 $
→ $ 2 - 5 = -3 $

2. $ 9 - (-11) = 9 + 11 = 20 $
→ Subtracting a negative → add the positive → $ 9 + 11 = 20 $

3. $ 4 - (-6) = 4 + 6 = 10 $
→ Subtracting a negative → add → $ 4 + 6 = 10 $

4. $ 20 \div (-2) = -10 $
→ Different signs → negative → $ 20 \div 2 = 10 $ → $ -10 $

5. $ (-1) \times (-10) = 10 $
→ Same signs → positive → $ 1 \times 10 = 10 $

6. $ 1 - (-9) = 1 + 9 = 10 $
→ Subtracting negative → add → $ 1 + 9 = 10 $

7. $ 8 + (-2) = 6 $
→ Different signs → $ 8 - 2 = 6 $, positive wins → $ 6 $

8. $ 5 - (-3) = 5 + 3 = 8 $
→ Subtracting negative → add → $ 5 + 3 = 8 $

9. $ 3 - (-6) = 3 + 6 = 9 $
→ Subtracting negative → add → $ 3 + 6 = 9 $

10. $ (-11) + 4 = -7 $
→ Different signs → $ 11 - 4 = 7 $, negative wins → $ -7 $

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✔ Final Answers:

#### Column 1:
1. $ 8 + 10 = 18 $
2. $ 7 + (-8) = -1 $
3. $ 7 + 6 = 13 $
4. $ (-3) + 11 = 8 $
5. $ (-8) \times 4 = -32 $
6. $ 3 + (-11) = -8 $
7. $ (-8) \times (-4) = 32 $
8. $ 35 \div 5 = 7 $
9. $ (-7) - 7 = -14 $
10. $ 2 \times 8 = 16 $

#### Column 2:
1. $ 10 + 9 = 19 $
2. $ 16 \div (-4) = -4 $
3. $ 8 \times (-10) = -80 $
4. $ (-2) + 5 = 3 $
5. $ (-9) \times 6 = -54 $
6. $ 1 \times (-7) = -7 $
7. $ (-7) \times (-3) = 21 $
8. $ 7 - 6 = 1 $
9. $ 9 - 8 = 1 $
10. $ 4 - 10 = -6 $

#### Column 3:
1. $ 2 - 5 = -3 $
2. $ 9 - (-11) = 20 $
3. $ 4 - (-6) = 10 $
4. $ 20 \div (-2) = -10 $
5. $ (-1) \times (-10) = 10 $
6. $ 1 - (-9) = 10 $
7. $ 8 + (-2) = 6 $
8. $ 5 - (-3) = 8 $
9. $ 3 - (-6) = 9 $
10. $ (-11) + 4 = -7 $

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✔ All problems solved correctly with proper sign handling! Let me know if you'd like this in a printable format or need explanations for any specific problem.