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

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.