The task involves simplifying expressions that involve multiplying integers. Let's solve each problem step by step.
Problem 1: \(2 \times 3 \times (-5) \times (-6)\)
- First, multiply the positive numbers: \(2 \times 3 = 6\).
- Then, multiply the negative numbers: \((-5) \times (-6) = 30\) (since the product of two negatives is positive).
- Finally, multiply the results: \(6 \times 30 = 180\).
Answer: \(180\)
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Problem 2: \((-4) \times (-7) \times (-8) \times (-9)\)
- Multiply the first two negative numbers: \((-4) \times (-7) = 28\).
- Multiply the next two negative numbers: \((-8) \times (-9) = 72\).
- Now multiply the results: \(28 \times 72 = 2016\).
Answer: \(2016\)
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Problem 3: \(5 \times (-2) \times 4 \times (-2)\)
- Multiply the first two numbers: \(5 \times (-2) = -10\).
- Multiply the next two numbers: \(4 \times (-2) = -8\).
- Now multiply the results: \((-10) \times (-8) = 80\) (since the product of two negatives is positive).
Answer: \(80\)
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Problem 4: \(4 \times (-6) \times 2\)
- Multiply the first two numbers: \(4 \times (-6) = -24\).
- Now multiply the result by 2: \((-24) \times 2 = -48\).
Answer: \(-48\)
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Problem 5: \(8 \times (-3) \times 5 \times (-8)\)
- Multiply the first two numbers: \(8 \times (-3) = -24\).
- Multiply the next two numbers: \(5 \times (-8) = -40\).
- Now multiply the results: \((-24) \times (-40) = 960\) (since the product of two negatives is positive).
Answer: \(960\)
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Problem 6: \(3 \times (-6) \times 6 \times 1\)
- Multiply the first two numbers: \(3 \times (-6) = -18\).
- Multiply the next two numbers: \(6 \times 1 = 6\).
- Now multiply the results: \((-18) \times 6 = -108\).
Answer: \(-108\)
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Problem 7: \(7 \times (-1) \times 3\)
- Multiply the first two numbers: \(7 \times (-1) = -7\).
- Now multiply the result by 3: \((-7) \times 3 = -21\).
Answer: \(-21\)
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Problem 8: \((-9) \times (-6) \times (-7) \times (-8)\)
- Multiply the first two negative numbers: \((-9) \times (-6) = 54\).
- Multiply the next two negative numbers: \((-7) \times (-8) = 56\).
- Now multiply the results: \(54 \times 56 = 3024\).
Answer: \(3024\)
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Final Answers:
1. \(180\)
2. \(2016\)
3. \(80\)
4. \(-48\)
5. \(960\)
6. \(-108\)
7. \(-21\)
8. \(3024\)
Boxed Answer:
\[
\boxed{180, 2016, 80, -48, 960, -108, -21, 3024}
\]
Parent Tip: Review the logic above to help your child master the concept of multiply integers worksheet.
