Additive Property of Rational Numbers
The additive property of the rational number is classified into categories that include,
- Additive Identity Property
- Additive Inverse Property
Let’s learn about them in detail.
Additive Identity Property
The additive identity property states that among rational numbers we have an identity element such that adding it to any other rational number results in the same rational number. The additive identity element of the rational number is 0. Thus, for any rational number A
A + 0 = A
Additive Inverse Property
Additive inverse property states that among rational numbers we have an inverse element of all the elements such that adding these elements results in the identity element(0). The inverse element of any rational number A is (-A). Thus,
A + (-A) = 0
Properties of Rational Numbers
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.
Table of Content
- What are the Properties of Rational numbers?
- Closure Property of Rational Numbers
- Commutative Property of Rational Numbers
- Associative Property of Rational Numbers
- Distributive Property of Rational Numbers
- Additive Property of Rational Numbers
- Identity and Inverse Properties of Rational Numbers