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The creator of the original question wants you to understand that since 1/2 and 1/8 differ by a factor of four, the products will differ by a factor of four, making the first product 100 and the second product 25. It's an unnecessary extra step, since 200/8 = 25

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Q: How could you use the product of one half and 200 to find the product of one eighth and 200?
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How could you use one half and 200 to find the produce of one eighth and 200?

The creator of the original question wants you to understand that since 1/2 and 1/8 differ by a factor of four, the products will differ by a factor of four, making the first product 100 and the second product 25. It's an unnecessary extra step, since 200/8 = 25