Worksheet for practicing division of integers with 16 problems.

Problem: Dividing Integers

The task involves solving 16 division problems involving integers. The rules for dividing integers are as follows:
1. Same Signs: When dividing two integers with the same sign (both positive or both negative), the result is positive.
2. Different Signs: When dividing two integers with different signs, the result is negative.

Let's solve each problem step by step.

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Problem 1: \( (+1075) \div (+43) \)

- Both numbers are positive.
- Perform the division: \( 1075 \div 43 = 25 \).
- Result: \( +25 \).

Answer: \( 25 \)

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Problem 2: \( (+4165) \div (-85) \)

- The dividend is positive, and the divisor is negative.
- Perform the division: \( 4165 \div 85 = 49 \).
- Since the signs are different, the result is negative.
- Result: \( -49 \).

Answer: \( -49 \)

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Problem 3: \( (+3400) \div (+34) \)

- Both numbers are positive.
- Perform the division: \( 3400 \div 34 = 100 \).
- Result: \( +100 \).

Answer: \( 100 \)

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Problem 4: \( (-3007) \div (-97) \)

- Both numbers are negative.
- Perform the division: \( 3007 \div 97 = 31 \).
- Since the signs are the same, the result is positive.
- Result: \( +31 \).

Answer: \( 31 \)

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Problem 5: \( (-672) \div (+16) \)

- The dividend is negative, and the divisor is positive.
- Perform the division: \( 672 \div 16 = 42 \).
- Since the signs are different, the result is negative.
- Result: \( -42 \).

Answer: \( -42 \)

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Problem 6: \( (+4418) \div (+47) \)

- Both numbers are positive.
- Perform the division: \( 4418 \div 47 = 94 \).
- Result: \( +94 \).

Answer: \( 94 \)

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Problem 7: \( (-5135) \div (-65) \)

- Both numbers are negative.
- Perform the division: \( 5135 \div 65 = 79 \).
- Since the signs are the same, the result is positive.
- Result: \( +79 \).

Answer: \( 79 \)

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Problem 8: \( (+4416) \div (+46) \)

- Both numbers are positive.
- Perform the division: \( 4416 \div 46 = 96 \).
- Result: \( +96 \).

Answer: \( 96 \)

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Problem 9: \( (+1752) \div (+73) \)

- Both numbers are positive.
- Perform the division: \( 1752 \div 73 = 24 \).
- Result: \( +24 \).

Answer: \( 24 \)

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Problem 10: \( (-754) \div (+26) \)

- The dividend is negative, and the divisor is positive.
- Perform the division: \( 754 \div 26 = 29 \).
- Since the signs are different, the result is negative.
- Result: \( -29 \).

Answer: \( -29 \)

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Problem 11: \( (+3420) \div (+57) \)

- Both numbers are positive.
- Perform the division: \( 3420 \div 57 = 60 \).
- Result: \( +60 \).

Answer: \( 60 \)

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Problem 12: \( (-4980) \div (+83) \)

- The dividend is negative, and the divisor is positive.
- Perform the division: \( 4980 \div 83 = 60 \).
- Since the signs are different, the result is negative.
- Result: \( -60 \).

Answer: \( -60 \)

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Problem 13: \( (+402) \div (+67) \)

- Both numbers are positive.
- Perform the division: \( 402 \div 67 = 6 \).
- Result: \( +6 \).

Answer: \( 6 \)

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Problem 14: \( (-2272) \div (+71) \)

- The dividend is negative, and the divisor is positive.
- Perform the division: \( 2272 \div 71 = 32 \).
- Since the signs are different, the result is negative.
- Result: \( -32 \).

Answer: \( -32 \)

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Problem 15: \( (+4690) \div (+67) \)

- Both numbers are positive.
- Perform the division: \( 4690 \div 67 = 70 \).
- Result: \( +70 \).

Answer: \( 70 \)

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Problem 16: \( (+3612) \div (+42) \)

- Both numbers are positive.
- Perform the division: \( 3612 \div 42 = 86 \).
- Result: \( +86 \).

Answer: \( 86 \)

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Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 25 \\
2. & -49 \\
3. & 100 \\
4. & 31 \\
5. & -42 \\
6. & 94 \\
7. & 79 \\
8. & 96 \\
9. & 24 \\
10. & -29 \\
11. & 60 \\
12. & -60 \\
13. & 6 \\
14. & -32 \\
15. & 70 \\
16. & 86 \\
\end{array}
}
\]