# Round to the nearest thousandth

In this post we will learn methods to round decimals to its nearest thousandth.

## Why we round off decimals to thousandth place?

We round off decimals to make it easier to write and calculate.

Sometimes the given decimal number is so large that it create frustration to write and calculate.

Consider the below decimal;

Such a large number create lots of problems in calculation.

So we round off the decimal to get the approximate value to make calculation faster and easier.

## What is meant by rounding decimal to thousandth place?

In this method we get an approximate value of decimal till thousandth place of decimal.

In this process;
⟹ Number till hundredth place will be same.

⟹ Will change thousandth place number to get approximate value.

## How to round decimal to thousandth place?

Follow the below steps;

(a) Check the number next to thousandth place (i.e. ten thousandth place)

If Ten Thousandth Place Number ⟹ 5, 6, 7, 8, 9.
If number is equal to or greater than 5, then we will round up the thousandth place number by 1.

If Ten Thousandth Place Number ⟹ 0, 1, 2, 3, 4.
If number is less than 5, then the thousandth place number will be kept unchanged.

(b) Remove all the numbers beyond thousandth place value.

Given below are some solved examples for further understanding.

Example 01
Round to the nearest thousandth.
11.637921085

Solution
(a) Check ten thousandth place number

Number in Ten Thousandth Place ⟹ 9
Since number is greater than 5, we will increase thousandth place number by 1.

Hence, 11.638 is the round off number.

Example 02
Round to the nearest thousandth
50.143509148

Solution
Check the ten thousandth place value.

Number in Ten Thousandth Place ⟹ 5
Since the number is 5, we will round up the thousandth place number by 1.

Hence, 50.144 is the approximate value.

Example 03
Round to the nearest thousandth
6.5324986542

Solution
Check the number in ten thousandth place.

Number in Ten Thousandth Place ⟹ 4
Since the number is less than 5, we will leave thousandth number as it is.

Hence, 6.532 is the roundoff number.

Example 04
Round to the nearest thousandth
89.963657212

Solution
Check the ten thousandth place value.

Number in Ten Thousandth Place ⟹ 6
Since the number is greater than 5, we round up the thousandth place value by 1.

Hence, 89.964 is the final solution.

Example 05
Round the decimal to nearest thousandth

Solution

Check the ten thousandth place value.

Number in ten thousandth place ⟹ 1
Since the number is less than 5, the thousandth place will remain the same.

Hence, 7.795 is the roundoff number.

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