To convert 0.264¯¯¯¯¯¯¯¯

Question

to a rational number, you would set x
equal to 0.264¯¯¯¯¯¯¯¯
and then multiply both sides of the equation by what number?(1 point)
Responses

100
100

10
10

1,000
1,000

999

Answer 1

To convert the repeating decimal \( 0.264\overline{6} \) to a rational number, you would set \( x \) equal to \( 0.264\overline{6} \).

In this case, the decimal repeats every 1 digit (the digit "6"). To eliminate the repeating part, you should multiply both sides of the equation by 10 (because there is one repeating digit).

So the answer is:

10