# What is the difference between a reciprocal of a number and a opposite of the number?

##### 3 Answers

When you multiply a reciprocal with its original number, the result is 1.

When you add the opposite to its original number, the result is 0.

#### Explanation:

¼ is the reciprocal of 4

-7 is the opposite of 7

The reciprocal of a number is its inverse under multiplication.

The opposite of a number is its inverse under addition.

#### Explanation:

The number

#1 * x = x * 1 = x#

If

#x * 1/x = 1/x * x = 1#

The number

#0 + x = x + 0 = x#

For any

#x + (-x) = (-x)+x = 0#

So for example the reciprocal of

A reciprocal is one over the number

Reciprocal of 2

0.45

The opposite of a number is more about the operation:

The opposite of +4 is -4