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Why do you multiply by a power of 10 when writing a repeating decimal as a rational number?​
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Why do you multiply by a power of 10 when writing a repeating decimal as a rational number?​

User Tragamor
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Answer: So that when we subtract the original number from the multiple, the repeating part cancels out. If we multiply by 10, we get 10x = 2.

Explanation:

User Andreas Pardeike
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