Seek help regarding the Terminating Decimals concept from this webpage. Get to know all about Terminating Decimals such as Definitions, How to Determine if it is a Terminating Decimal or not by going through this entire article. We have also listed the steps on how to convert a terminating decimal to a repeating decimal here. Find Solved Examples on Terminating Decimals available here so as to understand the concept clearly.

Also, See:

- Decimal and Fractional Expansion
- Simplify Decimals Involving Addition and Subtraction Decimals
- Rounding Decimals

## Terminating Decimal – Definition

A Terminating Decimal is a decimal that ends. A Decimal Number that contains a finite number of digits next to the decimal point is called a Terminating Decimal. In fact, we can rewrite the terminating decimals as fractions.

Example: 0.52, 0.625, 0.78, etc.

### How to know if it is a Terminating Decimal?

While expressing a fraction in decimal form, when we perform division we observe that the division is complete after few steps i.e. we get a remainder zero. The decimal quotient obtained is known as the terminating decimal. In fact, such decimals will have a finite number of digits after the decimal point.

Terminating Decimals can be expressed as repeating decimals by simply placing zeros that are never-ending. For Example, 12.32 can be written as 12.3200000000…….

### Solved Examples on Terminating Decimals

1. Express 1/4 in decimal form and check if it is terminating decimal?

Solution:

Perform Division Operation and check if the decimal quotient has a finite number of digits or not. If it has a finite number of digits after the decimal point then it is a terminating decimal.

Since 0.25 has a finite number of digits next to the decimal point it is considered a terminating decimal.

2. Express 15/4 in Decimal Form and check if it is terminating decimal?

Solution:

Perform Division Operation and check if the decimal quotient has a finite number of digits or not. If it has a finite number of digits after the decimal point then it is a terminating decimal.

Since 3.75 has a finite number of digits next to the decimal point it is considered as a terminating decimal.

3. Express 23/5 in Decimal Form?

Solution:

Perform Division Operation and check if the decimal quotient has a finite number of digits or not. If it has a finite number of digits after the decimal point then it is a terminating decimal.

Since the decimal quotient, 4.6 has a finite number of decimal places next to the decimal point it is called a terminating decimal.

### FAQs on Terminating Decimal

**1. What is a terminating decimal?**

Terminating Decimal is a Decimal Number that contains a finite number of digits next to the decimal point.

**2. Is 2.3 a terminating decimal?**

Yes, 2.3 is a terminating decimal as it has a finite number of digits after the decimal point.

**3. How do you find terminating decimals without actual division?**

Prime Factorization of the denominator should contain factor 2 or factor 5 or both factors 2 and 5 to tell if it’s a terminating decimal. Any factor other than these gives a non-terminating decimal.