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Is 5 a Rational Number (PDF)

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					                     Is 5 a Rational Number
Is 5 a Rational Number

We know that rational numbers are the numbers written in form of a/b where, a and b
are integers and b≠0. Also, 5 can be written as 5/1.

On comparing we get: a=5 and b=1, So, both a and b are integers and b≠0. So the
answer for the query is 5 a rational number is yes, 5 is a Rational Number.

What is a Rational Number?

The Rational numbers are those numbers which can either be whole numbers or
fractions or decimals. Rational numbers can be written as a ratio of two integers in the
form 'p/q' where 'p' and 'q' are integers and 'q' is nonzero. A rational number is simply
a ratio of two integers, for example1/5 is a rational number (1 divided by 5, or the ratio
of 1 to 5).

Introduction to Rational numbers

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Today, I will tell you a story. Once there was a family of Natural numbers where all
counting numbers used to live. One day a guest named zero visited the house and
requested for a permission to stay there. All were happy; they requested the eldest
member of the family Mr. infinite (∞) to grant the permission for 0.

Definition of Rational Number

In mathematics, Rational Numbers can be defined as a ratio of two integers. Rational
numbers can be expressed in form of fraction 'a/b' in which 'a' and 'b' are integers
where denominator 'b' not equal to zero. We also have set of rational number and 'Q'
is used to represent it.

Positive Rational Numbers

Positive rational numbers can be expressed as the ratio 'p/q' where, 'p' and 'q' are
both positive integers. Any positive rational number can be expressed as a sum of
distinct reciprocals of positive integers like: 3/5 = 1/3+2/6+1/18. A positive rational
number has infinitely many different such representations called Egyptian

Negative Rational Numbers

The numbers which are written in form of a/b where a and b are integers such that
b≠0 all comes in the family of Rational Numbers. Positive Rational Numbers are those
which have both numerators and denominators as positive or negative. Example: 5/7,
6/5 or (-3/-4) are positive rational numbers.

Properties of Rational Numbers


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The rational numbers are closed under addition, subtraction, multiplication and
division by nonzero rational numbers. The properties are called closure properties of
rational numbers.

Operations on Rational Numbers

In mathematics, we generally deal with four types of basic operations called as
addition, subtraction, multiplication, and division. We can easily perform these four
kinds of operations on different type of Rational Numbers.

Rational Numbers on a Number Line

A number line is graphical representation of numbers from negative infinity to positive
infinity in a single line. Rational numbers can be expressed in fraction (a/b) form,
where 'b' is not equation.




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