Math worksheet for practicing multiplication and division of integers.
Worksheet titled "Multiplying and Dividing Integers (A)" with math problems involving multiplication and division of negative and positive integers.
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Step-by-step solution for: Multiplying and Dividing Negative and Negative Integers from -12 ...
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying and Dividing Negative and Negative Integers from -12 ...
Problem Overview:
The task involves calculating the products and quotients of integers. The rules for multiplying and dividing integers are as follows:
1. Multiplication and Division Rules:
- Positive × Positive = Positive
- Negative × Negative = Positive
- Positive × Negative = Negative
- Negative ÷ Negative = Positive
- Positive ÷ Positive = Positive
- Negative ÷ Positive = Negative
- Positive ÷ Negative = Negative
2. Steps to Solve:
- Identify the signs of the numbers involved.
- Perform the multiplication or division.
- Apply the appropriate sign based on the rules above.
Solution:
#### First Column: Division Problems
1. $-108 \div (-12)$
- Both numbers are negative.
- $108 \div 12 = 9$
- Since both numbers are negative, the result is positive.
- Answer: $9$
2. $-120 \div (-12)$
- Both numbers are negative.
- $120 \div 12 = 10$
- Since both numbers are negative, the result is positive.
- Answer: $10$
3. $-8 \times (-8)$
- This is a multiplication problem, not division.
- Both numbers are negative.
- $8 \times 8 = 64$
- Since both numbers are negative, the result is positive.
- Answer: $64$
4. $-11 \times (-8)$
- Both numbers are negative.
- $11 \times 8 = 88$
- Since both numbers are negative, the result is positive.
- Answer: $88$
5. $-120 \div (-10)$
- Both numbers are negative.
- $120 \div 10 = 12$
- Since both numbers are negative, the result is positive.
- Answer: $12$
6. $-108 \div (-9)$
- Both numbers are negative.
- $108 \div 9 = 12$
- Since both numbers are negative, the result is positive.
- Answer: $12$
7. $-9 \times (-8)$
- Both numbers are negative.
- $9 \times 8 = 72$
- Since both numbers are negative, the result is positive.
- Answer: $72$
8. $-144 \div (-12)$
- Both numbers are negative.
- $144 \div 12 = 12$
- Since both numbers are negative, the result is positive.
- Answer: $12$
9. $-110 \div (-10)$
- Both numbers are negative.
- $110 \div 10 = 11$
- Since both numbers are negative, the result is positive.
- Answer: $11$
10. $-96 \div (-12)$
- Both numbers are negative.
- $96 \div 12 = 8$
- Since both numbers are negative, the result is positive.
- Answer: $8$
11. $-9 \times (-9)$
- Both numbers are negative.
- $9 \times 9 = 81$
- Since both numbers are negative, the result is positive.
- Answer: $81$
12. $-8 \times (-9)$
- Both numbers are negative.
- $8 \times 9 = 72$
- Since both numbers are negative, the result is positive.
- Answer: $72$
13. $-99 \div (-9)$
- Both numbers are negative.
- $99 \div 9 = 11$
- Since both numbers are negative, the result is positive.
- Answer: $11$
#### Second Column: Multiplication Problems
1. $-11 \times (-12)$
- Both numbers are negative.
- $11 \times 12 = 132$
- Since both numbers are negative, the result is positive.
- Answer: $132$
2. $-100 \div (-10)$
- Both numbers are negative.
- $100 \div 10 = 10$
- Since both numbers are negative, the result is positive.
- Answer: $10$
3. $-10 \times (-9)$
- Both numbers are negative.
- $10 \times 9 = 90$
- Since both numbers are negative, the result is positive.
- Answer: $90$
4. $-9 \times (-10)$
- Both numbers are negative.
- $9 \times 10 = 90$
- Since both numbers are negative, the result is positive.
- Answer: $90$
5. $-110 \div (-11)$
- Both numbers are negative.
- $110 \div 11 = 10$
- Since both numbers are negative, the result is positive.
- Answer: $10$
6. $-132 \div (-11)$
- Both numbers are negative.
- $132 \div 11 = 12$
- Since both numbers are negative, the result is positive.
- Answer: $12$
7. $-80 \div (-8)$
- Both numbers are negative.
- $80 \div 8 = 10$
- Since both numbers are negative, the result is positive.
- Answer: $10$
8. $-8 \times (-7)$
- Both numbers are negative.
- $8 \times 7 = 56$
- Since both numbers are negative, the result is positive.
- Answer: $56$
9. $-40 \div (-4)$
- Both numbers are negative.
- $40 \div 4 = 10$
- Since both numbers are negative, the result is positive.
- Answer: $10$
10. $-24 \div (-2)$
- Both numbers are negative.
- $24 \div 2 = 12$
- Since both numbers are negative, the result is positive.
- Answer: $12$
11. $-99 \div (-11)$
- Both numbers are negative.
- $99 \div 11 = 9$
- Since both numbers are negative, the result is positive.
- Answer: $9$
12. $-10 \div (-1)$
- Both numbers are negative.
- $10 \div 1 = 10$
- Since both numbers are negative, the result is positive.
- Answer: $10$
Final Answers:
\[
\boxed{
\begin{array}{ll}
9 & 132 \\
10 & 10 \\
64 & 90 \\
88 & 90 \\
12 & 10 \\
12 & 12 \\
72 & 10 \\
12 & 56 \\
11 & 10 \\
8 & 12 \\
81 & 9 \\
72 & 10 \\
11 &
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of multiply divide integers worksheet.