Mathematical Calculators

# Multiplicative Inverse Calculator

This calculator will help you find the multiplicative inverse of an integer, a decimal, a fraction, or a mixed number.

#### Multiplicative Inverse Calculator

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#### Table of contents

◦What is the multiplicative inverse of a number? |

### What is Multiplicative inverse?

The inverse is a word that means something that has an opposite effect. A multiplicative inverse is a number that negates the identity-enhancing effects of a number. A multiplicative inverse is a number that results in 1.

If an x = 1, then number b is the multiplicative inverted number a.

Divide it by 7 to make them all into 1 group. Multiplication is reversed by division. Multiplying a number by its reciprocal is equivalent to dividing it.

Thus, 7 /7=7 x 1/7 =1.

1/ 7 is the multiplicative inverse of 7. The multiplicative inverse of 13 is 1/ 13.

The multiplicative inverse can also be called reciprocal. It is derived from the Latin word "reciprocus", which means returning.

## What is the multiplicative inverse of a number?

A multiplicative inverse for a number A value is a b that a * b = 1. The end. This is a simple definition so there's not much to worry about. We could actually finish this section but are far too talkative to do it. We've decided to keep the remainder of this section's discussion in a neat numbered list.

Not every number has a multiplicative inverted. There is only one that doesn’t. Multiplying any number by 0 returns. There is no way to find 1 value.

The sign for the multiplicative inverted must match that of the original number. One is created by multiplying multiplication with a negative value. A negative value only creates a positive value when it is multiplied by another negative value.

Two very special numbers have multiplicative inverses that are identical to the number in question. All other numbers have a distinct multiplicative inverse. But, this is not true when Modo multiplication is used instead.

A multiplicative inversion is unique. This means that can only have one inverse. It has a *b = a *c = 1 then must be b = c. This is also true in the modulo setting.

The number itself is the inverse of the inverted. This becomes apparent when we examine the equation a * b = 1. You will see that b is the multiplicative inverted of a and that a is its multiplicative opposite. (Remember that multiplication can be commutative so a * b = b * a).

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###### Multiplicative Inverse Calculator English

Published: Fri Jun 10 2022

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