Question

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?(1 point)
Responses

100
100

999
999

10
10

1,000
1,000

Answer 1

1,000

Reason: the repeating block "264" has 3 digits, so multiply by 10^3 = 1000 to shift one full repeat left of the decimal (1000x = 264.264264…).