# Terminating Decimal Definition

Those decimals that have a **finite**, **limited**, or known number of **digits** after the **decimal point** are called **Terminating Decimals**. For Example, **3.14, 2.578**, and **1.987** are terminating decimals because all of these have **limited** numbers after the **Decimal Point**.

Such decimals are used to represent a **whole number** and a **fraction** collectively in a **single term**. In a terminating decimal, the left side of the decimal point gives the **whole number** while the **right side** shows the **fractional part**. For example, in 3.14, “**3**” represents the **whole number** while “**14**” shows the **decimal fraction**.

**Note:**

Read about **Whole Numbers** and a Fraction here.

**Table of Contents**

## What is the opposite of Terminating a Decimal?

In Mathematics, Decimals are divided into **two major types**. One of which is **terminating decimals** about which we are reading here. In contrast, the other type is called **Non-terminating decimals**. These decimals have **infinite** or **unknown** numbers after the **decimal point**.

Such numbers are normally represented by putting “**Three Dots**” after the last number on the right side of the decimal point. For example, **3.3333333…** is a non-terminating decimal because we don’t know the ending point of this decimal.

**Note:**

Read about **Non-terminating Decimals** here.

### How to convert a fraction into a termination decimal?

The only way to convert a fraction into a terminating decimal is by **division**. We only have to divide the numerator by the **denominator** of the **fraction** to get this **decimal**. While dividing, we can get the following three types of numbers.

- Whole number
- Terminating Decimal
- Non-terminating Decimal

It means that we can get the answer of a fraction in any of these formats. So, there is no restriction that we will always get a terminating decimal by dividing a fraction.

**Note:**

Read about Division, **Numerator**, and Denominator here.

### How to identify a terminating decimal?

As mentioned above, a **terminating decimal** has a **limited** number of digits after the decimal point. But we can also identify these numbers even without solving the fraction. To do so, we only have to check the denominator of the given fraction.

If the **denominator** can be written in the power of **2** and **5**, it means that the fraction will give a **terminating decimal** as the answer. It is the simplest and easiest way to identify a decimal of this type without division.

### Fun facts about terminating decimals

- All
**terminating decimals**are also**rational numbers**. - The
**left side**of the terminating decimal gives the**whole part**of the fraction. - All
**fractions**with a**denominator**that can be written in the form of an**exponent**of**2**and**5**are**terminating**decimals. - A
**non-terminating**decimal can be converted to a**terminating**decimal with the**Round-Off**technique.

### FAQ's

**What does terminating mean?**

Terminating means to end. In Mathematics, it is used for those decimals that are going to an end after some points.

**How to check the termination of a fraction without division?**

You can check it just by looking at the denominator of the fraction. If the denominator can be written as an exponent of 2 and 5, the fraction will give a terminating decimal.

**Is Pi a terminating decimal?**

No, Pi is not a terminating decimal because the numbers after the decimal point are now known.

**Are terminating and repeating decimals the same?**

No, terminating decimals are those that have limited numbers after the decimal point. On the other hand, repeating decimals is a type of non-terminating decimal that has a specific pattern repeating itself after the decimal point.