# Rounding to the Nearest Thousandth

Rounding to the nearest thousandth is a mathematical process used to simplify numbers to the nearest multiple of 0.001. It is commonly employed in fields such as engineering, science, and finance to facilitate easier and more manageable calculations. Rounding is a crucial mathematical concept that simplifies numbers while preserving their overall value. When it comes to rounding to the nearest thousandth, precision is key. In this guide, we will explore the essentials of rounding to the nearest thousandth, including the methodology, formula, and practical examples.

### What is rounding to the nearest thousandth ?

Rounding to the nearest thousandth is the process of approximating a number to the closest value with three decimal places.

### Why is rounding to the nearest thousandth important ?

It is essential for maintaining accuracy in various mathematical and scientific calculations where precision matters.

### When should I round to the nearest thousandth ?

Round to the nearest thousandth when dealing with measurements or data that require a high degree of accuracy.

### Formula

To round a number to the nearest thousandth, examine the digit in the fourth decimal place. If it is 5 or greater, round up the third decimal place. If it is less than 5, keep the third decimal place unchanged.

Round to the Nearest Thousandth = Third Decimal Place+0.001

Round to the Nearest Thousandth = Third Decimal Place+0.001 if the fourth decimal place is 5 or greater.

### Examples:

Example 1:

12.34567

After rounding of to the nearest thousandth 12.346

Example 2:

8.91234

After rounding of to the nearest thousandth 8.912

Example 3:

15.67895

After rounding of to the nearest thousandth 15.679