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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.

Worksheet titled "Multiplying and Dividing Integers (A)" with math problems involving multiplication and division of negative and positive integers.

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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.
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