Properties of Rational Numbers

1. What are Rational Numbers? 

A rational number is a number that is in the form of p/q, where p and q are integers, and q is not equal to 0. Some examples of rational numbers include 1/3, 2/4, 1/5, 9/3, and so on.

2. What are the Properties of the Rational Number?

The basic six properties of the rational number are,

• Closure Property
• Commutative Property
• Associative Property
• Distributive Property
• Additive Property of Rational Numbers
• Multiplicative Property of Rational Numbers

3. Is 0 a Rational Number?

Yes, 0 is a rational number because it is an integer that can be written in any form such as 0/1, 0/2, where b is a non-zero integer. It can be written in the form: p/q = 0/1. Hence, we conclude that 0 is a rational number.

4. Is Pi(π) a Rational Number?

No, Pi (π) is not a rational number. It is an irrational number and its value equals 3.142857…

5. What is the Distributive Property of Rational Numbers?

The distributive property states, if a, b and c are three rational numbers, then;

a x (b+c) = (a x b) + (a x c)

6. What are the Two Multiplicative Properties of Rational Numbers?

Multiplicative Identity and Multiplicative Inverse are the two Multiplicative properties of rational numbers.

• Multiplicative identity for rational numbers is expressed as, p/q × 1 = 1 × p/q = p/q.
• Multiplicative Inverse for rational numbers is expressed as p/q × q/p = 1 such that p/q is the multiplicative inverse of q/p.

7. How important are Properties of Rational Numbers for class 8?

Properties of rational numbers are quiet important for class 8. As it is a topic that help students to build a strong base for rational numbers and after that they can easily study real numbers, complex numbers etc.

Properties of Rational Numbers as the name suggests are the properties of the rational number that help us to distinguish rational numbers from the other types of numbers. rational numbers are the superset of the numbers such as natural numbers, whole numbers, even numbers, etc. So these properties are applicable to all these numbers. Properties of Rational numbers are very important for class 8.

Rational numbers are the numbers that can be represented in the form p/q where p and q are integers and q is never equal to zero. All fractions, terminating decimals, recurring decimals, etc. come under rational numbers. There are various properties of rational numbers such as associative property, commutative property, distributive property, and closure property.

In this article, you are going to learn about the properties of rational numbers with examples and solved problems.