00:01
So for this question, we're asked to find the rational number representation of the repeating decimal.
00:06
So in this instance, we see that the bar is over the 8.
00:10
So it pretty much means that the 8 just continuously repeats, you know, forever.
00:14
So we're going to use a systems of equation method to solve this equation, or solve this problem, my bad.
00:19
So assume that x equals 1 .38 repeating.
00:23
So for now, i'll just put, you know, let's say two more 8s.
00:27
Now, the next thing we want to do is get the repeating digit to the left of the decimal.
00:31
Point.
00:32
Okay, so the repeating digit should be to the left of the decimal point.
00:35
So in our case, to do that, this is the first instance of the repeating digit, right? 8.
00:40
So we're going to have to multiply by 100 to get that to the left of the decimal point.
00:45
So now we have 100x equals 138...