To convert 0.82¯¯¯¯¯ to a rational number, you would set x equal to 0.82¯¯¯¯¯ and then multiply both sides of the equation by what number?(1 point)

Question

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Answer 1

To convert a repeating decimal like 0.82¯¯¯¯¯ to a rational number, we can set x equal to 0.82¯¯¯¯¯ and then multiply both sides of the equation by a power of 10 equal to the number of digits in the repeating decimal.

In this case, there are 2 repeating digits (82), so we would multiply both sides of the equation by 100 (10^2).

Therefore, the number we would multiply both sides of the equation by is 100.

Answer 2

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