In mathematics, **reciprocals** are two numbers which multiply together to make 1. They are also called **multiplicative inverses** of each other. For example:

* 3 and 1/3 are reciprocals because 3 × 1/3 = 1
* 10/12 and 1 1/5 are reciprocals because 10/12 × 1 1/5 = 1
* -0.2 and -5 are reciprocals because -0.2 × -5 = 1
* 1 and -1 are their own reciprocals because 1 × 1 = 1 and -1 × -1 = 1
* zero does not have a reciprocal because no number times 0 is 1

1 divided by a number gives the reciprocal of that number. For example,

*the reciprocal of 8 is 1/8 (or 0.125) because 1 divided by 8 is 1/8.
*the reciprocal of 125 is 1/125 (or 0.008) because 1 divided by 125 is 1/125.
*the reciprocal of 2498 is 1/2498 because 1 divided by 2498 is 1/2498.
*the reciprocal of 98 is 1/98 because 1 divided by 98 is 1/98.
*the reciprocal of 77 is 1/77 because 1 divided by 77 is 1/77.
*the reciprocal of 345 is 1/345 because 1 divided by 345 is 1/345.