Is .6 a rational number?

Question

servidopolisxv · Accepted Answer

A rational number is a number, which can be described as a ratio of two integers. As it is a ratio of integers, it can be positive as well as negative.
Further, any decimal fraction, which limits itself beyond the decimal point (such as 5.7) which does not go beyond tenth place) or has continuously repeats numbers (till infinity) beyond a certain place of decimal (such as 4.33333... or 0.23124312341325134....) can be easily written as ratio of integers, however large and hence are rational.
Now as

0.6 = \frac{6}{10}

, is a ratio of two integers, it is a rational number.

Anzante2m · Accepted Answer

The basic rule: does it satisfy one of 2 conditions.
Condition 1 Is it a terminating decimal?
Example: 0.125 This stops after the 5 so it terminates
Condition 2 Is it a repeating decimal
Example: 0.356356356356....
written as

0.356 \overset{―}{356}

0.6 = \frac{6}{10}

as this can be written as a fraction it is a rational number.

Is .6 a rational number?

Answered question

Answer & Explanation

New Questions in Pre-Algebra