Inverse Operations

Operation is a mathematical process involving addition, subtraction, multiplication, division, squaring, square roots, etc.

You are watching: What is the definition of inverse operations

All the provided symbols (+, −, ×, ÷) in mathematics are recognized as operators.

An inverse operation reverses the result of the first operation.

For example, if us operated including two numbers say 5+3 = 8

The inverse procedure of this would be the subtraction of these two numbers: 5-3= 2.

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Inverse Operators

The major operations in mathematics are addition, subtraction, multiplication, and also division. The train station operations of these are offered in the table below:

Inverse operations


Operations

Inverse operations

Addition

Subtraction

Subtraction

Addition

Multiplication

Division

Division

Multiplication


Inverse operators

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More instances of inverse operations


Operator

+

_

×

÷

Inverse operator

_

+

÷

×

Example

5+4 = 9

5-4 =1

6-3 = 3

6+3 =9

2 × 3 =6

6 ÷ 3 = 2

8÷ 2 = 4

2 × 4 = 8


Properties of train station Operations

Inverse additive property: The inverse operation of the enhancement of two very same numbers will result in a zero.

2 + (-2) = 0

or

When we include a number come its opposite, the result is constantly 0.

Inverse multiplicative property: once we multiply a number is by its (multiplicative) inverse, the an outcome is constantly 1.

Multiplicative station of 10 is1⁄10

So, 10 × 1⁄10=1

Additive Property: consider the procedure , 5 + 0 = 5

The inverse operation is, 5- 0 = 5

Thus, as soon as we include any number to zero, both the operation and inverse operation will give the same number.

Multiplicative Property: think about the operation, 5 × 1 = 5

The inverse operation is, 5 ÷ 1 = 5

Thus, as soon as we multiply any number through 1, both the operation and also inverse procedure will provide the same number.

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