Multiplying and Dividing Integers Worksheets - Free Printable

It looks like you've uploaded a worksheet titled "Multiplying Integers" with several problems involving multiplication of integers. Let's go through each problem step by step and solve them.

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Problem 1:

23. $ 2 \times 4 = ? $

- Multiply: $ 2 \times 4 = 8 $
- Answer: $ \boxed{8} $

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Problem 2:

27. $ (-7) \times (-6) = ? $

- When multiplying two negative numbers, the result is positive.
- $ (-7) \times (-6) = 42 $
- Answer: $ \boxed{42} $

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Problem 3:

31. $ (-6) \times 9 = ? $

- A negative times a positive is negative.
- $ (-6) \times 9 = -54 $
- Answer: $ \boxed{-54} $

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Problem 4:

40. $ (-8) \times (-4) \times (-1) = ? $

- First, multiply $ (-8) \times (-4) = 32 $ (negative × negative = positive)
- Then, $ 32 \times (-1) = -32 $ (positive × negative = negative)
- Answer: $ \boxed{-32} $

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Problem 5:

51. $ (-2) \times (-5) \times (-2) = ? $

- Step 1: $ (-2) \times (-5) = 10 $
- Step 2: $ 10 \times (-2) = -20 $
- Answer: $ \boxed{-20} $

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Problem 6:

60. $ 4 \times 0 \times 7 = ? $

- Any number multiplied by zero is zero.
- $ 4 \times 0 \times 7 = 0 $
- Answer: $ \boxed{0} $

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Problem 7:

71. $ (-4) \times (-2) \times 6 = ? $

- Step 1: $ (-4) \times (-2) = 8 $
- Step 2: $ 8 \times 6 = 48 $
- Answer: $ \boxed{48} $

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Problem 8:

74. $ 2 \times (-6) \times 4 = ? $

- Step 1: $ 2 \times (-6) = -12 $
- Step 2: $ -12 \times 4 = -48 $
- Answer: $ \boxed{-48} $

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Problem 9:

77. $ 7 \times (-1) \times 2 = ? $

- Step 1: $ 7 \times (-1) = -7 $
- Step 2: $ -7 \times 2 = -14 $
- Answer: $ \boxed{-14} $

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Problem 10:

103. $ (-6) \times (-7) \times (-9) = ? $

- Step 1: $ (-6) \times (-7) = 42 $
- Step 2: $ 42 \times (-9) = -378 $
- Answer: $ \boxed{-378} $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 23 | 8 |
| 27 | 42 |
| 31 | -54 |
| 40 | -32 |
| 51 | -20 |
| 60 | 0 |
| 71 | 48 |
| 74 | -48 |
| 77 | -14 |
| 103 | -378 |

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🔍 Key Rules Used:

- Positive × Positive = Positive
- Negative × Negative = Positive
- Positive × Negative = Negative
- Any number × 0 = 0

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