Question

How do you round 9.214 to the nearest tenth?

Answer 1

See a solution process below:

Explanation:

First, we need to identify the tenth position.

The tenth position is the position to the right of the decimal point:

`9. color(red)(2)14`

To round you look to the position to the right of the position you are trying to round to. In this case the `1` to the right of the `color(red)(2)` in the tenth place:

`9. color(red)(2)color(blue)(1)4`

If the digit to the right is less than `5` you keep the digit you are rounding to the same and eliminate all the digits to the right.

If the digit to the right is greater than or equal to `5` you add 1 to the digit you are rounding to and eliminate all the digits to the right.

In this problem the digit to the right is `color(blue)(1)` which is less than `5`. Therefore, we leave the `color(red)(2)` the same and eliminate all the digits to the right:

`9. color(red)(2)color(blue)(1)4` rounded to the nearest tenth is: `9. color(red)(2)`