00:01
All right, in your question, you're asked to find the 2 ,023 digit after the decimal point and the decimal representation of 5 -7s.
00:09
So on my calculator, i took 5 divided by 7, and this is what i see.
00:15
So what i notice first is i start to see a repeating pattern with this 7, and then there's a 1, and then there's a 4.
00:28
Now there's a difference here.
00:30
Okay, so let's address that difference.
00:32
The calculator cut this value off at this location.
00:37
That means this number is rounded.
00:41
If the next number in a pattern was an 8 like it's supposed to be, it would have rounded up to a 3.
00:49
So what we can do with that number is we can disregard that number as that is a rounded number.
00:55
Now we can write out this repeating decimal pattern a few times.
01:09
All right.
01:10
So what we see here is that the digits are going to start to repeat after every six values.
01:22
So this is going to be a six...