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**.