Question

How do you round 481,462 to the nearest hundred thousand and to the nearest thousand?

Answer 1

See a solution process below;

Explanation:

Part A:

First, we need to identify the hundred thousand position.

The hundred thousand position is the position six places to the left of the decimal point:

`color(red)(4)81,462`

To round you look to the position to the right of the position you are trying to round to. In this case the `8` to the right of the `color(red)(4)` in the ten thousand place:

`color(red)(4)color(blue)(8)1,462`

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, making them `0`'s up to the decimal point..

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,making them `0`'s up to the decimal point..

In this problem the digit to the right is `color(blue)(8)` which is greater than `5`. Therefore, we add `1` to the `color(red)(4)` and eliminate all the digits to the right. making them `0`'s up to the decimal point..

`color(red)(4)color(blue)(8)1,462` rounded to the nearest hundred thousand is: `color(red)(5)00,000`

Part B:

First, we need to identify the thousand position.

The thousand position is the position four places to the left of the decimal point:

`48color(red)(1),462`

Now, follow the same rules as above to do the rounding.