Question

To convert 0.264 (repeating decimal) 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)
100
10
1,000
999

Answer 1

To convert the repeating decimal \(0.264\overline{264}\) into a rational number, you would set \(x = 0.264\overline{264}\). Since the repeating part (264) has three digits, you should multiply both sides of the equation by \(1000\) to move the decimal point three places to the right.

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