# Reciprocals(KS3, Year 8)

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The reciprocal of a quantity is the result of dividing 1 by that quantity.

## Dictionary Definition

The Oxford English Dictionary defines a reciprocal as "based on an inverse relationship."

## Real Examples of Reciprocals

The reciprocal can't be found for numbers, letters and more complicated quantities, like terms and expressions.
Type of Quantity Quantity Reciprocal
Numbers
Letters
Terms
Expressions

## Lesson Slides

The slider below shows more real examples of reciprocals.

## Reciprocals of Fractions

To find the reciprocal of a fraction, 1 is divided by the fraction. Dividing 1 by a fraction turns the fraction upside down.

how to find the reciprocal of a fraction

## Exponent Notation For a Reciprocals

to show the reciprocal of a quantity, place −1 to the top-right of the quantity. This is an exponent of −1.

exponents of −1

## Multiplying a Quantity With Its Reciprocal Equals 1

Multiplying a quantity with its reciprocal equals 1.

## Be Careful With Notation

Sometimes brackets are needed to indicate which part of a term is a reciprocal. For example, is different from

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