Dividing Integers Worksheets | Grade1to6.com - Free Printable

Problem: Division of Integers

The task is to solve the division problems involving integers. Here are the steps and solutions for each problem:

#### Rules for Dividing Integers:
1. Same Signs: When dividing two integers with the same sign (both positive or both negative), the result is positive.
- Example: \( 10 \div 2 = 5 \) or \( -10 \div -2 = 5 \)
2. Different Signs: When dividing two integers with different signs (one positive and one negative), the result is negative.
- Example: \( 10 \div -2 = -5 \) or \( -10 \div 2 = -5 \)

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Solutions:

#### Left Column:
1. i. \( -110 \div -11 \)
- Both numbers are negative, so the result is positive.
- \( 110 \div 11 = 10 \)
- Answer: \( 10 \)

2. ii. \( 90 \div -9 \)
- The numbers have different signs, so the result is negative.
- \( 90 \div 9 = 10 \)
- Answer: \( -10 \)

3. iii. \( 50 \div 5 \)
- Both numbers are positive, so the result is positive.
- \( 50 \div 5 = 10 \)
- Answer: \( 10 \)

4. iv. \( -48 \div 12 \)
- The numbers have different signs, so the result is negative.
- \( 48 \div 12 = 4 \)
- Answer: \( -4 \)

5. v. \( -100 \div 10 \)
- The numbers have different signs, so the result is negative.
- \( 100 \div 10 = 10 \)
- Answer: \( -10 \)

6. vi. \( -72 \div -6 \)
- Both numbers are negative, so the result is positive.
- \( 72 \div 6 = 12 \)
- Answer: \( 12 \)

7. vii. \( -48 \div -6 \)
- Both numbers are negative, so the result is positive.
- \( 48 \div 6 = 8 \)
- Answer: \( 8 \)

8. viii. \( 43 \div 1 \)
- Any number divided by 1 is the number itself.
- Answer: \( 43 \)

9. ix. \( 56 \div -8 \)
- The numbers have different signs, so the result is negative.
- \( 56 \div 8 = 7 \)
- Answer: \( -7 \)

10. x. \( -81 \div 9 \)
- The numbers have different signs, so the result is negative.
- \( 81 \div 9 = 9 \)
- Answer: \( -9 \)

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#### Right Column:
11. xi. \( -28 \div 4 \)
- The numbers have different signs, so the result is negative.
- \( 28 \div 4 = 7 \)
- Answer: \( -7 \)

12. xii. \( 32 \div -8 \)
- The numbers have different signs, so the result is negative.
- \( 32 \div 8 = 4 \)
- Answer: \( -4 \)

13. xiii. \( -25 \div -5 \)
- Both numbers are negative, so the result is positive.
- \( 25 \div 5 = 5 \)
- Answer: \( 5 \)

14. xiv. \( -9 \div -3 \)
- Both numbers are negative, so the result is positive.
- \( 9 \div 3 = 3 \)
- Answer: \( 3 \)

15. xv. \( 24 \div -4 \)
- The numbers have different signs, so the result is negative.
- \( 24 \div 4 = 6 \)
- Answer: \( -6 \)

16. xvi. \( -36 \div -4 \)
- Both numbers are negative, so the result is positive.
- \( 36 \div 4 = 9 \)
- Answer: \( 9 \)

17. xvii. \( 18 \div -2 \)
- The numbers have different signs, so the result is negative.
- \( 18 \div 2 = 9 \)
- Answer: \( -9 \)

18. xviii. \( 16 \div -4 \)
- The numbers have different signs, so the result is negative.
- \( 16 \div 4 = 4 \)
- Answer: \( -4 \)

19. xix. \( 22 \div -2 \)
- The numbers have different signs, so the result is negative.
- \( 22 \div 2 = 11 \)
- Answer: \( -11 \)

20. xx. \( -10 \div -5 \)
- Both numbers are negative, so the result is positive.
- \( 10 \div 5 = 2 \)
- Answer: \( 2 \)

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Final Answers:

\[
\begin{aligned}
&\text{i. } 10, \quad \text{ii. } -10, \quad \text{iii. } 10, \quad \text{iv. } -4, \quad \text{v. } -10, \\
&\text{vi. } 12, \quad \text{vii. } 8, \quad \text{viii. } 43, \quad \text{ix. } -7, \quad \text{x. } -9, \\
&\text{xi. } -7, \quad \text{xii. } -4, \quad \text{xiii. } 5, \quad \text{xiv. } 3, \quad \text{xv. } -6, \\
&\text{xvi. } 9, \quad \text{xvii. } -9, \quad \text{xviii. } -4, \quad \text{xix. } -11, \quad \text{xx. } 2.
\end{aligned}
\]

\boxed{
\begin{aligned}
&10, -10, 10, -4, -10, \\
&12, 8, 43, -7, -9, \\
&-7, -4, 5, 3, -6, \\
&9, -9, -4, -11, 2.
\end{aligned}
}