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?

Question

1,000
19
999
100

Answer 1

To convert the decimal 0.264 to a rational number, you would set \( x = 0.264 \) and then multiply both sides of the equation by 1,000.

This is because 0.264 has three decimal places, and multiplying by 1,000 shifts the decimal point three places to the right, converting it to an integer:

\[ 1000x = 264. \]

So, the correct answer is 1,000.