To convert 0.264 to a rational number, you would set π equal to 0.264 and then multiply both sides of the equation by what number?

Answer 1

To convert the decimal \(0.264\) to a rational number, you would set the number equal to a variable, typically \(x\):

\[ x = 0.264 \]

To eliminate the decimal, you can multiply both sides by \(1000\) (since there are three digits after the decimal point):

\[ 1000x = 264 \]

Now, you can express \(x\) as a rational number:

\[ x = \frac{264}{1000} \]

You can simplify this fraction if needed, but to answer your question directly, the number you would multiply both sides by is \(1000\).