Question

the digit of the 100th place in the decimal represent of 6/7 is​

Answer 1

The result of 6/7 has repeating decimals: 0.8571428571428571428… The repeating part is a group of 6 digits. But 100 = 96 + 4 = 6 x 16 + 4. So the 96th decimal will be a 2 ( just like the 6th, and the 12th, and all the decimal places that are multiples of 6). Followed by the 97th = 8, 98th = 5, 99th=7, so the 100th decimal will be a 1.

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Answer 2

Given:

$\frac{6}[7}$

To find:

100th place digit in the decimal represent of 6/7

Solution:

Given number is 6/7

To find the 100th place digit we will find the decimal form of given number.

The decimal form of given number is given by

$\frac{6}{7}=0.857$

We can see that

Tenth place digit of 0.857 =8

Hundredth place digit of 0.857=5

Thousandth place digit of 0.857=7

Hence, the 100th place digit in the decimal representation of 6/7=5