Math Doubts

Reciprocal of a Reciprocal property

Fact-checked:

Property

The reciprocal of reciprocal of a quantity is equal to the value of the quantity.

Introduction

The reciprocal of a quantity is mathematically written as a quotient of one divided by the quantity. Similarly, the reciprocal of reciprocal of a quantity is written as a quotient of one divided by one divided by the quantity, and its value is exactly equal to the value of the quantity. It is called the reciprocal of a reciprocal property.

Algebraic form

$\dfrac{1}{\bigg(\dfrac{1}{x}\bigg)} \,=\, x$

Ashok Kumar B.E. - Founder of Math Doubts

Ashok Kumar, B.E.

Founder of Math Doubts

A Specialist in Mathematics, Physics, and Engineering with 14 years of experience helping students master complex concepts from basics to advanced levels with clarity and precision.