Definition of rational number and examples.

A rational number is a number that can be written in the form a/b, where a and b are integers and b is not equal to 0 .

For example, 0.20 can be written as 1/5 since 1/5 = 0.20. Furthermore, 1 and 5 are integers. Therefore, 0.20 is a rational number.

0.20 is the decimal form and 1/5 is the fraction form.

0.33333333333 is also a rational number since it can be written as 1/3 and 1 and 3 are integers.

0.33333333333 is the decimal form and 1/3 is the fraction form.

A rational number in decimal form is either terminating, such as 0.20,  or repeating, such as 0.33333333333.

All integers are rational numbers because you can write any integer x as x/1.

Although 0 and -8 are integers, -8/0 is not a rational number since division by 0 has no answer.

3.5/4.1 is not a rational number since 3.5 and 4.1 are not integers.

Enjoy this page? Please pay it forward. Here's how...

Would you prefer to share this page with others by linking to it?

1. Click on the HTML link code below.
2. Copy and paste it, adding a note of your own, into your blog, a Web page, forums, a blog comment, your Facebook account, or anywhere that someone would find this page valuable.
Share this page: