Question

How can you determine if a number is a rational numbers?

Answer 1

rational numbers can be easily determine by simply put numbers which have no decimal, fixed number of digits after decimal or repeating number after decimal are called rational number.

Examples- 23, 12.5, 0.123123123123.......

Answer 2

A rational number is a number that can be written in the form
`(p)/(q),` where p and q are integers and q≠o.

An irrational number is a number that cannot be written as the ratio of two integers. Its decimal form does not stop and does not repeat.

The simpliest method we can use to determine whether a number is rational or irrational:

If the decimal form of a number

• stops or repeats, the number is rational.
• does not stop and does not repeat, the number is irrational.

Example:

• rational numbers:
  `3,0,-4,(3)/(4), 0.673,1.(2)=1.22222...,3.78(9)=3.789999...`
• irrational numbers:
  `\pi, 0.123256008...`