How do you round 214.0822 to the nearest tenth?

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Mar 14, 2018

Answer:

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:

#214 .color(red)(0)822#

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:

#214 .color(red)(0)color(blue)(8)22#

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)(8)# which is greater than #5#. Therefore, we add #1# to the #color(red)(0)# and eliminate all the digits to the right:

#214 .color(red)(0)color(blue)(8)22# rounded to the nearest tenth is: #214 .color(red)(1)#

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