Is 2 a Rational Number

Rational Numbers:

Generally, the rational numbers are defined in different ways as follows,

Rational number is a number with the ratio of two whole numbers. So thus rational number is in the form of simple fraction. It can be written as x / y. Here x and y are whole numbers but y is not equal to 0.
Rational number is a number with the ratio of two integers. It can be written as x / y. Here x and y are integers but y is not equal to 0. The set of all rational numbers are named as rationals. These rational set is indicated as Q. Thus the q represents quotient.

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Properties of rational numbers:

The general properties of rational numbers are following as,

A. Unlimited Representation:

All rational number are represented with unlimited number of ways. For example,

1/3 = 2/6 = 3/9…

B. Perfect Rationals are the Integers:

If a rational is a perfect rational, then denominator of that fraction is 1. Such as,

5/1, 6/1, 7/1…

C. Changing forms:

The rational numbers can recall with the multiplication of both numerator and denominator of the rationals by 1.

Example:

Write 2/7 and so that the numerator is 10

Well, 2 * 5 = 10, and multiplying any number by 1 don’t change that number,

So, we have: 2/7 * 5/5 = 10/35

D. Writing Rationals in their simplest form:

Rationals can be written in simplest form by factoring the numerator and the denominator with their prime factors.

Example:

10/16 = (2*5)/ (2*2*2*2)

= (2/2)*(5/ (2*2*2))

= 1*5/ (2*2*2)

= 5/8

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Examples:

1) Is 2 is a rational number?

Solution:

Here 2 can be written as fraction by the use of 1.

That is 2 = 2/1

So 2 is rational number.

2) Is 0.22 is a rational number?

Solution:

Here 0.22 can be written as fraction by the use of 100.

That is 0.22 = 22/100

So 0.22 is rational number.

3) Is 12 is a rational number?

Solution:

Here 12 can be written as fraction by the use of 1.

That is 12 = 12/1

So 12 is rational number.

4) Is 5/7 is a rational number?

Solution:

Here 5/7 is a fraction.

So 5/7 is rational number.