Question

How do you round `6/11` to the nearest hundredth?

Answer 1

See a solution process below:

Explanation:

`6/11` or `6 -: 11 = 0.545454545....`

The hundredth position is two positions to the right of the decimal point. For this problem it is the `color(red)(4)`:

`0.5color(red)(4)5454545....`

To round to the nearest hundredth you must look at the digit in the position immediately to the right of the digit in the hundredth place, which is the `color(blue)(5)` in the thousandth place:

`0.5color(red)(4)color(blue)(5)454545....`

If the digit to the right is greater than or equal to `5` you add 1 to the digit you are rounding to and make everything to the right `0`.

If the digit to the right is less than `5` you add keep the digit you are rounding to the same and make everything to the right `0`.

In this problem the digit to the right is a `color(blue)(5)` so we add 1 to the digit we are rounding to and make everything to the right `0`.

`0.5color(red)(4)color(blue)(5)454545.... = 0.5color(red)(5)0000000.... = 0.5color(red)(5)`