What is Associative Property?

This property states that when three or an ext numbers are included (or multiplied), the sum (or the product) is the same regardless that the group of the addends (or the multiplicands).

You are watching: Is subtraction associative why or why not

Grouping method the usage of bracket or brackets to team numbers.

Associative property involves 3 or an ext numbers.

The numbers that are grouped within a parenthesis or bracket become one unit.

Example the Associative home for Addition


*

*

*

*

The above examples indicate that changing the group doesn"t make any type of changes come the answer.

The associative building is advantageous while adding or multiply multiple numbers. By grouping, us can create smaller contents to solve. It provides the calculations of addition or multiplication that multiple numbers easier and faster.

ExampleAddition:

17 + 5 + 3 = (17 + 3) + 5

= 20 + 5

= 25


Here, including 17 and 3 gives 20. Then, including 5 to 20 provides 25. The grouping assisted to find the price easily and quickly.
However, us cannot use the associative property to subtraction or division. When we readjust the grouping of numbers in individually or division, it transforms the answer and hence, this building is no applicable.

See more: What Size Clothes Does My Size Barbie Wear, My Size Barbie


ExampleSubtraction:

10 – (5 – 2) = 10 - 3 = 7

(10 – 5) – 2 = 5 – 2 = 3

So, 10 – (5 – 2) ≠ (10 – 5) – 2

ExampleDivision:

(24 ÷ 4) ÷ 2 = 6 ÷ 2 = 3

24 ÷ (4 ÷ 2) = 24 ÷ 2 = 12


Fun Facts

Associative residential property gets its surname from words “Associate” and also it refers to grouping of numbers.


*
*