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Fix typo (#34223)

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Fixed typos, and reordered things.
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Alexander Molnar
2018-11-06 21:50:34 -05:00
committed by Paul Gamble
parent 9900699d0b
commit fcf789912c
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guide/english/mathematics/reciprocal/index.md
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@ -3,38 +3,27 @@ title: Reciprocal
---
## Reciprocal
The **reciprocal** of a number is 1 divided by that number.
The **reciprocal** of a number is 1 divided by that number. Every non-zero number has a reciprocal, and 0 does not.
#### Example
The reciprocal of 3 is <sup>1</sup>⁄<sub>3</sub>
The reciprocal of 3 is <sup>1</sup>⁄<sub>3</sub>.
A **reciprocal** can also be defined as a number taken to the power of -1.
You can also get the reciprocal of a fraction by flipping the fraction, or equivalently, the reciprocal of a number can be defined as that number taken to the power of -1.
#### Example
<sup>1</sup>⁄<sub>3</sub> is same as 8 to the power of -1.
You can also take a reciprocal of a fraction by flipping the fraction.
For instance, reciprocal of <sup>2</sup>⁄<sub>3</sub> is <sup>3</sup>⁄<sub>2</sub>.
The reciprocal of <sup>2</sup>⁄<sub>3</sub> is <sup>3</sup>⁄<sub>2</sub> since 1/(<sup>2</sup>⁄<sub>3</sub>) = <sup>3</sup>/<sub>2</sub>, or (<sup>2</sup>⁄<sub>3</sub>)<sup>-1</sup> = <sup>3</sup>/<sub>2</sub>.
### Note
1. Reciprocal of a reciprocal is the original number.
1. The reciprocal of the reciprocal of a number is the original number.
#### Example
Reciprocal of 23 is <sup>1</sup>⁄<sub>23</sub>. Now if we take the reciprocal of <sup>1</sup>⁄<sub>23</sub> and filp the fraction, we get <sup>23</sup>⁄<sub>1</sub> which is the original number.
The reciprocal of 23 is <sup>1</sup>⁄<sub>23</sub>. Now if we look at the reciprocal of <sup>1</sup>⁄<sub>23</sub> we get <sup>23</sup>⁄<sub>1</sub>, which is the original number.
2. If you multiply a number by its reciprocal, you always get 1.
2. If you multiply a non-zero number by its reciprocal, you always get 1.
#### Example
Reciprocal of 16 is <sup>1</sup>⁄<sub>16</sub>. If you multiply <sup>1</sup>⁄<sub>16</sub> with 16, you get 1.
3. Zero does not have a reciprocal
#### More Information:
<!-- Please add any articles you think might be helpful to read before writing the article -->
The reciprocal of 16 is <sup>1</sup>⁄<sub>16</sub>. If you multiply <sup>1</sup>⁄<sub>16</sub> by 16, you get 1.