$16.846 to the nearest cents?

1 Answer
Mar 16, 2018

See a solution process below:

Explanation:

First, we need to identify the "cents" position.

The "cents" position is the position two places to the right of the decimal point:

#$16.8color(red)(4)6#

To round you look to the position to the right of the position you are trying to round to. In this case the #6# to the right of the #color(red)(4)# in the "cents" place:

#$16.8color(red)(4)color(blue)(6)#

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)(6)# which is greater than #5#. Therefore, we add #1# to the #color(red)(4)# and eliminate all the digits to the right:

#$16.8color(red)(5)#