Associative Property of Multiplication
As per associative property of multiplication, product of three or more numbers remains the same regardless of how the numbers are grouped.
Assume we have three numbers: a, b, and c. The following formula can be used to express the associative property of multiplication
(A × B) × C = A × (B × C)
Associative Property of Multiplication Example
Example: Verify if (5 × 8) × 6 = 5 × (8 × 6)
Solution:
We have (A × B) × C = A × (B × C)
Here we suppose : a = 5 , b = 8 , c = 6
{(5 × 8 ) × 6 } = {5 × ( 8 × 6)}
{40 × 6} = {5 × 48}
240 = 240
Hence Proved
It does not matter how numbers are grouped, product of three numbers will remain same
Here above we have proved that Associative property is applicable on Addition and Multiplication
Now we will show that Associative property is not applicable for Subtraction and Division
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
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