Rounding Decimals

We can round decimals to a certain accuracy or number of decimal places. This is used to make calculations easier to do and results easier to understand when exact values are not too important.

-  First, you'll need to remember your place values:

For example:
 

-  To round a decimal, first find the place value you'll round to.
-  Find the digit to the right of the place value you're rounding to. If it is 5 or bigger, add 1 to the place value you're rounding to and remove all digits on its right side. If the digit to the right of the place value is less than 5, keep the place value and remove all digits on the right.

Examples:

Example 1.  Round to the thousandth place value.
Solution: First, look at the next place value to the right, (tens thousandths). It’s and it is greater than . Thus add to the digit in the thousandth place. The thousandth place is .  → , then, the answer is

Example 2.  Round to the nearest hundredth.
Solution: First, look at the digit to the right of hundredth (thousandths place value). It’s and it is less than , thus remove all the digits to the right of hundredth place. Then, the answer is