Find the 100th place to the right of the decimal point in the decimal expansion of 1/13.

Find the 100th place to the right of the decimal point in the decimal expansion of 1/13.

We need to find out the 100th place to the right of the decimal point in the decimal expansion of 1/13.

So, `"1"/"13"` = 0.076923 076923 076923...

Here in above after dividing the numbers we get the repeating numbers are 076923. There are six numbers in all so,

Now, `"100"/"6"` = 16 remainder 4

Counting four places, the 100th place is 9.

So, 9 is the 100th place to the right of the decimal point in the decimal expansion of 1/13.