How do you round 8.762 to the nearest tenth?

1 Answer
Mar 15, 2018

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:

#8 .color(red)(7)62#

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 #0# in the tenth place:

#8 .color(red)(7)color(blue)(6)2#

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)(7)# and eliminate all the digits to the right:

#8 .color(red)(7)color(blue)(6)2# rounded to the nearest tenth is: #8 .color(red)(8)#