to convert 0.264 to a rational number you would set X equal 20.264 and then multiply both sides of the equation by what number would that number be 999 or 1000 or 100 or 10

Answer 1

To convert the decimal 0.264 to a rational number, you would set \( x = 0.264 \) and multiply both sides by 1000.

Here's how it works:

1. Set \( x = 0.264 \).
2. Multiply both sides by 1000 to eliminate the decimal:

\[ 1000x = 264 \]

So, \( x = \frac{264}{1000} \).

You can simplify this fraction if necessary, but 1000 is the correct number to multiply by in this case.