Question

To convert 0.264¯¯¯¯¯¯¯¯ 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

999
999

100
100

1,000
1,000

10

Answer 1

To convert the repeating decimal \( 0.264\overline{(264)} \) to a rational number, you can set \( x = 0.264\overline{(264)} \).

In this case, the repeating part "264" has 3 digits. To eliminate the repeating part, you should multiply both sides of the equation by \( 1000 \) (which moves the decimal point three places to the right).

So, the correct answer is:
**1,000**