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Multiplying and Dividing Rational Numbers - Steps, Properties and ... - Free Printable

Multiplying and Dividing Rational Numbers - Steps, Properties and ...

Educational worksheet: Multiplying and Dividing Rational Numbers - Steps, Properties and .... Download and print for classroom or home learning activities.

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Let’s evaluate each expression one by one to see which ones equal -8.

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1. `16 - 1/2`


= 16 - 0.5 = 15.5 Not -8

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2. `-16/3 × 1/2`


= (-16 × 1) / (3 × 2) = -16/6 = -8/3 ≈ -2.666... Not -8

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3. `-1.25 × 6.4`



First, convert to fractions:
-1.25 = -5/4
6.4 = 64/10 = 32/5

So:
(-5/4) × (32/5) = (-5 × 32) / (4 × 5) = (-160)/20 = -8

✔️ This equals -8

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4. `-2.4` → obviously not -8 →



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5. `12 × (-2/3)`


= (12 × -2) / 3 = -24 / 3 = -8

✔️ This equals -8

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6. `-1(-8)`


= -1 × -8 = 8 Not -8

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7. `-32 × (-1/4)`


= (-32) × (-1/4) = 32/4 = 8 Not -8

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8. `-18 ÷ 1/2`


Dividing by 1/2 is same as multiplying by 2:
-18 × 2 = -36 Not -8

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9. `-24 × 1/3`


= -24/3 = -8

✔️ This equals -8

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10. `-1.75 - 4.6`


= -(1.75 + 4.6) = -6.35 → Not -8

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11. `-2 - 4`


= -6 → Not -8

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12. `12 × (-1/3)`


= -12/3 = -4 Not -8

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13. `-32 × (1/4)`


= -32/4 = -8

✔️ This equals -8

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14. `1.6 - 5`


= -3.4 → Not -8

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15. `1.5 - 6`


= -4.5 → Not -8

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## Final Answer: The expressions that equal -8 are:

- -1.25 × 6.4
- 12 × (-2/3)
- -24 × 1/3
- -32 × (1/4)

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So you should check the boxes next to these four expressions.

> 💡 Tip: Always simplify fractions or convert decimals to fractions for accuracy. Watch signs carefully — especially with negative numbers and division/multiplication!

Let me know if you’d like a visual breakdown of any step!
Parent Tip: Review the logic above to help your child master the concept of multiplying and dividing rational numbers worksheet 7th grade.
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