Multiplying and Dividing Integers worksheet with 30 practice problems for math education.

Problem: Solving the Multiplying and Dividing Integers Problems

The task involves solving a series of problems involving multiplication and division of integers. Let's solve each problem step by step.

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#### 1) \( 28 \div 7 = \)
- Division of two positive integers.
- \( 28 \div 7 = 4 \)

Answer: \( 4 \)

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#### 2) \( 5 \times (-5) = \)
- Multiplication of a positive integer and a negative integer.
- The result is negative.
- \( 5 \times (-5) = -25 \)

Answer: \( -25 \)

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#### 3) \( 1 \times 2 = \)
- Multiplication of two positive integers.
- \( 1 \times 2 = 2 \)

Answer: \( 2 \)

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#### 4) \( 9 \div (-1) = \)
- Division of a positive integer by a negative integer.
- The result is negative.
- \( 9 \div (-1) = -9 \)

Answer: \( -9 \)

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#### 5) \( (-21) \div (-7) = \)
- Division of two negative integers.
- The result is positive.
- \( (-21) \div (-7) = 3 \)

Answer: \( 3 \)

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#### 6) \( 0 \times 5 \times (-2) = \)
- Any number multiplied by zero is zero.
- \( 0 \times 5 \times (-2) = 0 \)

Answer: \( 0 \)

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#### 7) \( (-7) \times (-9) \times (-9) = \)
- First, multiply \( (-7) \times (-9) \):
- Two negatives give a positive: \( (-7) \times (-9) = 63 \)
- Then, multiply the result by \( (-9) \):
- \( 63 \times (-9) = -567 \)

Answer: \( -567 \)

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#### 8) \( (-2) \times (-6) \times (-7) = \)
- First, multiply \( (-2) \times (-6) \):
- Two negatives give a positive: \( (-2) \times (-6) = 12 \)
- Then, multiply the result by \( (-7) \):
- \( 12 \times (-7) = -84 \)

Answer: \( -84 \)

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#### 9) \( 9 \times (-10) = \)
- Multiplication of a positive integer and a negative integer.
- The result is negative.
- \( 9 \times (-10) = -90 \)

Answer: \( -90 \)

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#### 10) \( 6 \div 6 = \)
- Division of a positive integer by itself.
- \( 6 \div 6 = 1 \)

Answer: \( 1 \)

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#### 11) \( (-81) \div (-9) = \)
- Division of two negative integers.
- The result is positive.
- \( (-81) \div (-9) = 9 \)

Answer: \( 9 \)

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#### 12) \( (-7) \times 3 \times (-6) = \)
- First, multiply \( (-7) \times 3 \):
- A negative times a positive gives a negative: \( (-7) \times 3 = -21 \)
- Then, multiply the result by \( (-6) \):
- Two negatives give a positive: \( -21 \times (-6) = 126 \)

Answer: \( 126 \)

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#### 13) \( (-3) \times 4 \times (-4) = \)
- First, multiply \( (-3) \times 4 \):
- A negative times a positive gives a negative: \( (-3) \times 4 = -12 \)
- Then, multiply the result by \( (-4) \):
- Two negatives give a positive: \( -12 \times (-4) = 48 \)

Answer: \( 48 \)

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#### 14) \( (-6) \times 7 \times (-6) = \)
- First, multiply \( (-6) \times 7 \):
- A negative times a positive gives a negative: \( (-6) \times 7 = -42 \)
- Then, multiply the result by \( (-6) \):
- Two negatives give a positive: \( -42 \times (-6) = 252 \)

Answer: \( 252 \)

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#### 15) \( 9 \times (-9) \times (-9) = \)
- First, multiply \( 9 \times (-9) \):
- A positive times a negative gives a negative: \( 9 \times (-9) = -81 \)
- Then, multiply the result by \( (-9) \):
- Two negatives give a positive: \( -81 \times (-9) = 729 \)

Answer: \( 729 \)

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#### 16) \( (-20) \div 2 = \)
- Division of a negative integer by a positive integer.
- The result is negative.
- \( (-20) \div 2 = -10 \)

Answer: \( -10 \)

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#### 17) \( (-9) \times 7 \times (-7) = \)
- First, multiply \( (-9) \times 7 \):
- A negative times a positive gives a negative: \( (-9) \times 7 = -63 \)
- Then, multiply the result by \( (-7) \):
- Two negatives give a positive: \( -63 \times (-7) = 441 \)

Answer: \( 441 \)

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#### 18) \( 7 \times 2 = \)
- Multiplication of two positive integers.
- \( 7 \times 2 = 14 \)

Answer: \( 14 \)

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#### 19) \( 4 \div 1 = \)
- Division of any number by 1 gives the number itself.
- \( 4 \div 1 = 4 \)

Answer: \( 4 \)

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#### 20) \( 5 \times 5 \times (-7) = \)
- First, multiply \( 5 \times 5 \):
- Two positives give a positive: \( 5 \times 5 = 25 \)
- Then, multiply the result by \( (-7) \):
- A positive times a negative gives a negative: \( 25 \times (-7) = -175 \)

Answer: \( -175 \)

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#### 21) \( (-16) \div 4 = \)
- Division of a negative integer by a positive integer.
- The result is negative.
- \( (-16) \div 4 = -4 \)

Answer: \( -4 \)

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#### 22) \( (-5) \times 4 = \)
- Multiplication of a negative integer and a positive integer.
- The result is negative.
- \( (-5) \times 4 = -20 \)

Answer: \( -20 \)

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#### 23) \( (-12) \div (-6) = \)
- Division of two negative integers.
- The result is positive.
- \( (-12) \div (-6) = 2 \)

Answer: \( 2 \)

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#### 24) \( (-12) \div (-3) = \)
- Division of two negative integers.
- The result is positive.
- \( (-12) \div (-3) = 4 \)

Answer: \( 4 \)

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#### 25) \( (-2) \div (-2) = \)
- Division of two negative integers.
- The result is positive.
- \( (-2) \div (-2) = 1 \)

Answer: \( 1 \)

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#### 26) \( 5 \times 4 = \)
- Multiplication of two positive integers.
- \( 5 \times 4 = 20 \)

Answer: \( 20 \)

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#### 27) \( (-9) \times 4 = \)
- Multiplication of a negative integer and a positive integer.
- The result is negative.
- \( (-9) \times 4 = -36 \)

Answer: \( -36 \)

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#### 28) \( (-2) \times (-3) = \)
- Multiplication of two negative integers.
- The result is positive.
- \( (-2) \times (-3) = 6 \)

Answer: \( 6 \)

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#### 29) \( 10 \times (-3) \times (-7) = \)
- First, multiply \( 10 \times (-3) \):
- A positive times a negative gives a negative: \( 10 \times (-3) = -30 \)
- Then, multiply the result by \( (-7) \):
- Two negatives give a positive: \( -30 \times (-7) = 210 \)

Answer: \( 210 \)

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#### 30) \( (-6) \times (-6) = \)
- Multiplication of two negative integers.
- The result is positive.
- \( (-6) \times (-6) = 36 \)

Answer: \( 36 \)

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Final Answers:

\[
\boxed{
\begin{array}{ll}
1) & 4 \\
2) & -25 \\
3) & 2 \\
4) & -9 \\
5) & 3 \\
6) & 0 \\
7) & -567 \\
8) & -84 \\
9) & -90 \\
10) & 1 \\
11) & 9 \\
12) & 126 \\
13) & 48 \\
14) & 252 \\
15) & 729 \\
16) & -10 \\
17) & 441 \\
18) & 14 \\
19) & 4 \\
20) & -175 \\
21) & -4 \\
22) & -20 \\
23) & 2 \\
24) & 4 \\
25) & 1 \\
26) & 20 \\
27) & -36 \\
28) & 6 \\
29) & 210 \\
30) & 36 \\
\end{array}
}
\]