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# Reciprocals

(KS3, Year 8)

## The Lesson

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 | ||

## 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.Read more about how to find the reciprocal of a fraction

## Note

## Exponent Notation For a Reciprocals

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

^{−1}Read more about exponents of −1

## Multiplying a Quantity With Its Reciprocal Equals 1

Multiplying a quantity with its reciprocal equals 1.## Beware

## 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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