Integers Worksheet -- All Operations with Integers (Range -12 to ... - Free Printable

Let's solve each problem step by step using integer operations. We'll apply the rules for adding, subtracting, multiplying, and dividing integers.

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Rules to Remember:

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

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Now, let's solve each problem:

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#### Row 1:
1. $-24 ÷ 3 = -8$
(Negative ÷ positive = negative)

2. $6 + (-12) = -6$
(Different signs: 12 - 6 = 6, take negative sign)

3. $-40 ÷ 5 = -8$
(Negative ÷ positive = negative)

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#### Row 2:
4. $-2 × -7 = 14$
(Negative × negative = positive)

5. $6 - 5 = 1$
(Simple subtraction)

6. $-48 ÷ 6 = -8$
(Negative ÷ positive = negative)

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#### Row 3:
7. $5 + 6 = 11$
(Positive + positive = positive)

8. $-6 - 12 = -18$
(Same as -6 + (-12))

9. $132 ÷ (-11) = -12$
(Positive ÷ negative = negative)

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#### Row 4:
10. $-6 + (-5) = -11$
(Same signs: add, keep negative)

11. $-5 - (-6) = -5 + 6 = 1$
(Subtracting a negative = adding)

12. $2 × 8 = 16$
(Positive × positive = positive)

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#### Row 5:
13. $4 × (-10) = -40$
(Positive × negative = negative)

14. $-12 + (-2) = -14$
(Same signs: add, keep negative)

15. $12 - (-6) = 12 + 6 = 18$
(Subtracting a negative = adding)

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#### Row 6:
16. $-80 ÷ (-10) = 8$
(Negative ÷ negative = positive)

17. $-5 ÷ 5 = -1$
(Negative ÷ positive = negative)

18. $4 ÷ 2 = 2$
(Positive ÷ positive = positive)

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#### Row 7:
19. $-10 ÷ (-10) = 1$
(Negative ÷ negative = positive)

20. $6 - (-2) = 6 + 2 = 8$
(Subtracting a negative = adding)

21. $-60 ÷ 5 = -12$
(Negative ÷ positive = negative)

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#### Row 8:
22. $-11 + 7 = -4$
(Different signs: 11 - 7 = 4, take negative sign)

23. $48 ÷ (-12) = -4$
(Positive ÷ negative = negative)

24. $-5 × 4 = -20$
(Negative × positive = negative)

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#### Row 9:
25. $-1 + 12 = 11$
(Different signs: 12 - 1 = 11, take positive sign)

26. $44 ÷ 4 = 11$
(Positive ÷ positive = positive)

27. $11 - (-10) = 11 + 10 = 21$
(Subtracting a negative = adding)

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#### Row 10:
28. $-96 ÷ 12 = -8$
(Negative ÷ positive = negative)

29. $12 ÷ (-2) = -6$
(Positive ÷ negative = negative)

30. $3 - 9 = -6$
(Same as 3 + (-9) = -6)

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✔ Final Answers:

```
-24 ÷ 3 = -8 6 + (-12) = -6 -40 ÷ 5 = -8
-2 × -7 = 14 6 - 5 = 1 -48 ÷ 6 = -8
5 + 6 = 11 -6 - 12 = -18 132 ÷ (-11) = -12
-6 + (-5) = -11 -5 - (-6) = 1 2 × 8 = 16
4 × (-10) = -40 -12 + (-2) = -14 12 - (-6) = 18
-80 ÷ (-10) = 8 -5 ÷ 5 = -1 4 ÷ 2 = 2
-10 ÷ (-10) = 1 6 - (-2) = 8 -60 ÷ 5 = -12
-11 + 7 = -4 48 ÷ (-12) = -4 -5 × 4 = -20
-1 + 12 = 11 44 ÷ 4 = 11 11 - (-10) = 21
-96 ÷ 12 = -8 12 ÷ (-2) = -6 3 - 9 = -6
```

✔ All problems solved using integer operation rules.

Let me know if you'd like this formatted as a printable answer sheet!