00:02
Hi, in this question we are given with an answer which is having seven digits and it is equal to 0 .857142.
00:17
So our calculator is showing these digits and we need to explain whether the exact answer could be a terminating, a repeating or a irrational.
00:31
Since we can see that it could be a terminating decimal if the result will end here only.
00:43
That is the answer is 0 .85714.
00:49
Now it would be a repeating decimal if the answer won't stop here rather.
00:59
It would be repeating the same digits again.
01:03
That is 0 .857142 -857142 -857142 -8 -5 -7 -1 -4 -2 or it could be written as 0 .8 -5 -7142 bar that is these digits are continuously repeating.
01:23
Now if the obtained result is neither terminating nor it is repeating, then it would be an example for an irrational.
01:33
Number like it is having digits after 0 .857142 as the random ones like i would say 6 9 2 1 like and so on that is at no point it is either repeating or ending so in this case it would be an irrational number now we are given with the last part that if we have to perform an operation for 6 by 7.
02:09
As we can see, the division of 6 by 7 would be equal to.
02:15
So we will perform the division as dividing 6 by 7.
02:22
So we will start with 0 first and taking decimal, then considering 0 and the result would be 8.
02:32
It would be 56.
02:34
Then the remainder...