Math

Associative Property Examples

Associative property

It is applicable to algebraic operations of two types, the multiplication and addition . It is a type of property that indicates that when facing three or more they encrypt both in addition and in multiplication, the result will not depend directly on the way in which the terms are gathered or grouped.

In this sense, regardless of how the various numbers corresponding to the operation are grouped , multiplication or addition will always yield the same result. That is why, as mentioned above, the way in which the operation is embodied has nothing to do with the final result.

Speaking from the equation expressed in sum , its associative property shows us that the way in which the operation is expressed does not affect the final result of the operation.

Examples of associative property in sum

(4 + 1) + 3: 4 + (3 + 1)

5 + 3: 4 + 4

8: 8

(2 + 2) + 1: 2 + (2 + 1)

4 + 1: 2 + 3

5: 5

(1 + 3) + 3: 1 + (3 + 3)

4 + 3: 1 + 6

7: 7

(2 + 6) + 3: 6 + (2 + 3)

8 + 3: 6 + 5

11:11

(4 + 4) + 3: 4 + (3 + 4)

8 + 3: 4 + 7

11:11

In the case of the associative property applied to multiplication , exactly the same thing happens, that is, the way it is grouped does not influence its final result.

Associative Property Examples in Multiplication

  1. (3 x 3) x 4: (4 × 3) x 4

9 x 4: 9 x 4

36:36

  1. (8 x 1) x 2: (2 × 1) x 8

8 x 2: 2 x 8

16:16

  1. (3 x 3) x 4: (4 × 3) x 4

9 x 4: 9 x 4

36:36

  1. (3 x 2) x 4: (4 × 3) x 2

6 x 4: 12 x 2

24:24

  1. (4 x 3) x 1: (1 × 3) x 4

12 x 1: 3 x 4

12: 12

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