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.

Be careful!



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.

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