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# Reciprocal

It is just: 1/number

Very simple! To get the reciprocal of a number, just divide 1 by the number.

Example: the reciprocal of 2 is ½ (a half)

### More Examples:

Number Reciprocal As a Decimal
5 1/5 = 0.2
8 1/8 = 0.125
1,000 1/1,000 = 0.001

## Like Turning the Number Upside Down

If you think that a number could be written as "number/1" without changing its value, then the reciprocal is just like turning the number upside down:

Number Reciprocal
2 = 2/1 1/2
8 = 8/1 1/8
1,000 = 1,000/1 1/1,000

If may help you to remember that "Reciprocal" comes form the Latin reciprocus meaning returning or alternating. Like going to the shops and and then returning home again.

## But Not Zero

Every number has a reciprocal except 0 (1/0 is undefined)

## Multiply a Number by Its Reciprocal and You Get 1

Let us try multiplying a number by its reciprocal:

2 × (1/2) = 2 x 0.5 = 1

And let us try another:

10 × (1/10) = 10 x 0.1 = 1

Yes! You always get 1

In fact that is a way to define Reciprocal:

Reciprocal: what to multiply a value by to get 1

In terms of multiplying it is the Inverse, so it is also called the "Multiplicative Inverse".