Associative Property of Division
Associative Property is not valid for Division i.e. (A ÷ B) ÷ C ≠ A ÷ (B ÷ C). Let’s see this with an example
Example: Check if {(9 ÷ 3) ÷ 2} = {9 ÷ (3 ÷ 2)}
Solution:
Let a = 9, b = 3 and c = 2
LHS = (a ÷ b) ÷ c = (9 ÷ 3) ÷ 2 = 3/2
RHS = a ÷ (b ÷ c) = 9 ÷ (3 ÷ 2) = 9 x 2/3 = 6
Here, 3/2 ≠ 6
⇒ LHS ≠ RHS
Hence, (A ÷ B) ÷ C ≠ A ÷ (B ÷ C)
Hence proved associative property is not applicable for division method
Associative Property
Associative Property states that when adding or multiplying numbers, the way they are grouped by brackets (parentheses) does not affect the sum or product. It is also known as the Associative Law. This property applies to both multiplication and addition.
Let’s learn about Associative Property in detail, including the Property of Addition and Multiplication, along with some solved examples.
Table of Content
- What is Associative Property?
- Associative Property Formula
- Associative Property of Addition
- Associative Property of Multiplication
- Associative Property of Subtraction
- Associative Property of Division
- Associative Property of Matrix Multiplication
- Associative and Commutative Property
- Associative Property Examples
- Practice Questions on Associative Property