3 Properties Of Number Operations

Numbers is a concept in the mathematical sciences used for enumeration and measurement. In a measurement, of course, various kinds of number operations are used, the operation of these numbers which then contains certain properties that are rarely known to people in general.

This time we will share about the properties of number operations. Here are 3 Properties of Number Operations are:

A. Commutative Properties

commutative properties is also called the Properties of exchange. This property only applies to addition and multiplication operations.

A.1. The Commitiveness On Addition

The common form of commutative properties in addition is:
a + b = b + a

Example:
5 + 1 = 1 + 5
6 = 6

A.2. The Commutative Properties of Multiplication

The common form of commutative properties in multiplication is:
a x b = b x a

Example:
7 x 5 = 5 x 7
35 = 35

B. Associative Properties

The associative properties  is also called the properties of grouping. This property also applies only to sum and multiplication operations.

B.1 The Associative Characteristics of Additions

The common form of associative properties in addition operations is:
(a + b) + c = a + (b + c)

Example:
(5 + 3) + 4 = 5 + (3 + 4)
8 + 4 = 5 + 7
12 = 12

B.2 The Assosiative Characteristics of Multiplication

The common form of associative properties in multiplication operations is:
(a x b) x c = a x (b x c).

Example:
(5 x 3) x 4 = 5 x (3 x 4)
15 x 4 = 5 x 12
60 = 60

C. Distributive Properties

Distributive properties are also called dispersive properties. Distributive properties apply to multiplication to addition, multiplication to subtraction, and multiplication of two terms.

C.1 Distributive Properties Apply To The Multiplication of The Addition

Common forms:
a x (b + c) = (a x b) + (a x c)

Example:
1 x (2 + 3) = (1 x 2) + (1 x 3)
1 x 5 = 2 + 3
5 = 5

C.2 The Distributive Property of The Multiplication of The Reduction

Common form:
a x (b - c) = (a x b) - (a x c)

Example:
1 x (3 - 2) = (1 x 3) - (1 x 2)
1 x 1 = 3 - 2
1 = 1

C.3 The Distributive Property of Multiplicity of Two Terms

Common form:
(a + b) (c + d) = ac + ad + bc + bd

Example:
(1 + 2) (4 - 3) = (1) (4) + (1) (- 3) + (2) (4) + (2) (- 3)
(3) (1) = 4 - 3 + 8 - 6
3 = 3

A few articles this time. Sorry if there is a wrong word.
Finally said wassalamualaikum wr. wb.

Reference:

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