To convert a repeating decimal to a rational number, you would multiply both sides of the equation by a power of 10 equal to the number of repeating digits.
In this case, the number 0.264̅ has three repeating digits (the bar is placed above the "6" and "4"). Therefore, you would multiply both sides of the equation by 1000.
So, the correct number to multiply both sides of the equation by is 1,000.
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?
100
999
10
1,000
1 answer
3 answers