Multiplicative Inverse of a Rational Number
The multiplicative inverse of a rational number is a fundamental concept in mathematics, particularly in the realm of rational numbers. It is also known as the reciprocal of a rational number.
In essence, for any non-zero rational number a/b, its multiplicative inverse is b/a. The product of a rational number and its multiplicative inverse is always 1.
This concept plays a pivotal role in various mathematical operations involving rational numbers, including division, simplification, and solving equations. For instance, when dividing one rational number by another, we often multiply the dividend by the reciprocal of the divisor to simplify the operation.
The multiplicative inverse of a rational number a/b exists if a is not equal to zero. If a were equal to zero, the rational number would be undefined.
Rational Numbers: Definition, Examples, Worksheet
Rational Numbers are numbers written in terms of the ratio of two integers, where the denominator is not zero. In maths, Rational numbers are a type of real numbers that can be written in the form of p/q, where q ≠0. Any fraction is a rational number provided its denominator should not be zero.
Examples of Rational Numbers include 12/21​, 34/2, -22 etc. In other words, a rational number is any number that can be written in the form of a/b​, where a and b are integers and b is not equal to zero.
In this article, we have provided everything related to Rational numbers including, definitions, examples, types, a list of rational numbers, and how to identify rational numbers.
Table of Content
- What is a Rational Numbers?
- Examples of Rational Numbers
- Representation of Rational Numbers
- Types of Rational Numbers
- How to Identify Rational Numbers?
- List of Rational Numbers in Number System
- Arithmetic Operations on Rational Numbers
- Addition of Rational Numbers
- Subtraction of Rational Numbers
- Multiplication of Rational Numbers
- Division of Rational Numbers
- Equivalent Rational Numbers
- Decimal Expansion of Rational Numbers
- Multiplicative Inverse of a Rational Number
- Rational Numbers Properties
- Find Rational Numbers between Two Rational Numbers?
- Representing Rational Numbers on Real Line
- Rational and Irrational Numbers