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Multiplicative Inverse Calculator

To use a multiplicative Inverse Calculator, Enter the number, Choose the type of number from the drop-down menu (fraction, decimal, or mixed number), and Click the "Calculate" button.

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Multiplicative Inverse calculator 

Multiplicative Inverse Calculator is an online tool that can help you find the multiplicative inverse of a given number.

What is multiplicative inverse?

The multiplicative inverse of a number 'a' is a number 'b' such that a * b = 1. It is also known as the reciprocal of 'a'. For example, the multiplicative inverse of 3 is 1/3 because 3 x 1/3 = 1. 

The multiplicative inverse only exists for numbers that are not equal to zero.

Multiplicative inverse Formula:

The formula to find the multiplicative inverse of a number 'a' is:

The multiplicative inverse of a = 1/a

How to calculate manually?

To find the multiplicative inverse of a number manually, follow these steps:

  1. Write down the given number.
  2. Take the reciprocal of the number.
  3. Simplify the fraction (if necessary).

Examples:

  1. Find the multiplicative inverse of 4.

Solution:

The multiplicative inverse of 4 = 1/4

  1. Find the multiplicative inverse of -5.

Solution:

The multiplicative inverse of -5 = -1/5

  1. Find the multiplicative inverse of 1/2.

Solution:

The multiplicative inverse of 1/2 = 2

  1. Find the multiplicative inverse of 3 1/4.

Solution:

3 1/4 can be written as [(4 x 3) + 1]/4 = 13/4

The multiplicative inverse of 13/4 = 4/13

Daily Uses:

The multiplicative inverse is a fundamental concept in mathematics and has many practical applications, such as in engineering, physics, and finance. 

For example, in physics, the multiplicative inverse is used to calculate resistances in electrical circuits. In finance, the multiplicative inverse is used to calculate interest rates and exchange rates. 

In daily life, we can use the multiplicative inverse to calculate the price per unit of a product, such as the price per ounce of a grocery item.

Multiplicative inverse table:

Number

Multiplicative Inverse

0.5

2

0.75

1.33333333333

1.5

0.66666666667

2.5

0.4

3.6

0.27777777778

-1

-1

-2

-0.5

-3

-0.33333333333

-4

-0.25

0.2

5

0.4

2.5

0.6

1.66666666667

0.8

1.25

-0.5

-2

-0.75

-1.33333333333

-1.5

-0.66666666667

-2.5

-0.4

-3.6

-0.27777777778

2/3

1.5

5/7

1.4

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