**Inverse Operations**

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

You are watching: Addition and subtraction are inverse operations

All the offered symbols (+, −, ×, ÷) in mathematics are well-known as operators.

An inverse operation reverses the effect of the first operation.

For example, if we operated adding two numbers say 5+3 = 8

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

**Inverse Operators**

The main operations in math are addition, subtraction, multiplication, and division. The train station operations of these are given in the table below:

**Inverse operations**

Operations | Inverse operations |

Addition | Subtraction |

Subtraction | Addition |

Multiplication | Division |

Division | Multiplication |

**Inverse operators**

**More instances of train station 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 procedure of the addition of two exact same numbers will result in a zero.

2 + (-2) = 0

or

When we add a number to its opposite, the result is always 0.

**Inverse multiplicative property:** when we main point a number is through its (multiplicative) inverse, the an outcome is constantly 1.

Multiplicative station of 10 is1⁄10

So, 10 × 1⁄10=1

**Additive Property:** take into consideration the procedure , 5 + 0 = 5

The inverse procedure is, 5- 0 = 5

Thus, as soon as we include any number come zero, both the operation and also inverse procedure will offer the very same number.

**Multiplicative Property:** take into consideration the operation, 5 × 1 = 5

The inverse procedure is, 5 ÷ 1 = 5

Thus, when we multiply any type of number through 1, both the operation and also inverse operation will provide the exact same number.

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