Problem Overview:
The task involves solving a series of division problems involving integers. The rules for dividing integers are provided at the top of the worksheet:
1.
Positive ÷ Positive = Positive: e.g., \( 3 \div 3 = 1 \)
2.
Negative ÷ Negative = Positive: e.g., \( -3 \div -3 = 1 \)
3.
Negative ÷ Positive = Negative: e.g., \( 3 \div -3 = -1 \)
4.
Positive ÷ Negative = Negative: e.g., \( -3 \div 3 = -1 \)
We will solve each problem step by step, applying these rules.
---
Solution:
####
Problem 1: \( 46 \div 46 \)
- Both numbers are positive.
- According to the rule:
Positive ÷ Positive = Positive.
- Calculation: \( 46 \div 46 = 1 \).
Answer: \( 1 \)
####
Problem 2: \( 52 \div -1 \)
- The dividend is positive, and the divisor is negative.
- According to the rule:
Positive ÷ Negative = Negative.
- Calculation: \( 52 \div -1 = -52 \).
Answer: \( -52 \)
####
Problem 3: \( 147 \div 21 \)
- Both numbers are positive.
- According to the rule:
Positive ÷ Positive = Positive.
- Calculation: \( 147 \div 21 = 7 \).
Answer: \( 7 \)
####
Problem 4: \( 124 \div -4 \)
- The dividend is positive, and the divisor is negative.
- According to the rule:
Positive ÷ Negative = Negative.
- Calculation: \( 124 \div -4 = -31 \).
Answer: \( -31 \)
####
Problem 5: \( 69 \div -1 \)
- The dividend is positive, and the divisor is negative.
- According to the rule:
Positive ÷ Negative = Negative.
- Calculation: \( 69 \div -1 = -69 \).
Answer: \( -69 \)
####
Problem 6: \( 82 \div 41 \)
- Both numbers are positive.
- According to the rule:
Positive ÷ Positive = Positive.
- Calculation: \( 82 \div 41 = 2 \).
Answer: \( 2 \)
####
Problem 7: \( 0 \div -40 \)
- The dividend is zero, and the divisor is negative.
- Any number divided by zero is zero (as long as the divisor is not zero).
- Calculation: \( 0 \div -40 = 0 \).
Answer: \( 0 \)
####
Problem 8: \( 91 \div -7 \)
- The dividend is positive, and the divisor is negative.
- According to the rule:
Positive ÷ Negative = Negative.
- Calculation: \( 91 \div -7 = -13 \).
Answer: \( -13 \)
####
Problem 9: \( 96 \div -6 \)
- The dividend is positive, and the divisor is negative.
- According to the rule:
Positive ÷ Negative = Negative.
- Calculation: \( 96 \div -6 = -16 \).
Answer: \( -16 \)
####
Problem 10: \( 49 \div 49 \)
- Both numbers are positive.
- According to the rule:
Positive ÷ Positive = Positive.
- Calculation: \( 49 \div 49 = 1 \).
Answer: \( 1 \)
####
Problem 11: \( 0 \div 46 \)
- The dividend is zero, and the divisor is positive.
- Any number divided by zero is zero (as long as the divisor is not zero).
- Calculation: \( 0 \div 46 = 0 \).
Answer: \( 0 \)
####
Problem 12: \( 100 \div -2 \)
- The dividend is positive, and the divisor is negative.
- According to the rule:
Positive ÷ Negative = Negative.
- Calculation: \( 100 \div -2 = -50 \).
Answer: \( -50 \)
---
Final Answers:
\[
\boxed{
\begin{array}{ll}
1. & 1 \\
2. & -52 \\
3. & 7 \\
4. & -31 \\
5. & -69 \\
6. & 2 \\
7. & 0 \\
8. & -13 \\
9. & -16 \\
10. & 1 \\
11. & 0 \\
12. & -50 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of integers worksheet grade 7.
