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?

To convert a decimal number to a rational number, you need to multiply both sides of the equation by a power of 10 that eliminates the decimal. In this case, since there are three decimal places in 0.264, you would multiply both sides by 1000.

If we're repeating, decimal has repeating cycle of three digits, it will convert to a rational number with what denominator?

If the decimal number has a repeating cycle of three digits, it will convert to a rational number with a denominator of 999.

To convert 0.264 to a rational number, you can set x equal to 0.264 and then multiply both sides of the equation by 1000 (since there are 3 decimal places in 0.264) to eliminate the decimal point.

So, the number you should multiply both sides of the equation by is 1000.