Associative Property of Multiplication and Addition

Associative property is explained for both addition and multiplication operations and both of them are explained below,

Associative Property of Multiplication

The associative property asserts that the grouping of numbers in a multiplication expression does not affect the result. It is expressed as

(a × b) × c = a × (b × c)

It allows the rearrangement of factors without altering the product.

Associative Property of Addition

Similar to multiplication, the associative property for addition states that the grouping of numbers in an addition expression doesn’t impact the sum. It is represented as

(a + b) + c = a + (b + c)

It allows the rearrangement of addends without changing the result.

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Associative Property of Subtraction

Associative Property is not true for Subtraction i.e

(A – B) – C ≠ A – (B – C)

Associative Property of Division

Associative Property is not true for Subtraction i.e.

(A ÷ B) ÷ C ≠ A ÷ (B ÷ C)

Associative Property of Matrix Multiplication

Associative Property is also followed in case of Matrix Multiplication. For three matrices A, B and C, associative property of matrix multiplication is given as

(A × B) × C = A × (B × C)

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Associative Property of Multiplication is a fundamental concept in mathematics, particularly in multiplication. It is one of the three basic properties of multiplication, alongside the commutative and distributive properties. Understanding this property is crucial for mastering multiplication and for further mathematical studies. In this article, we will be discussing all things related to Associative Property of Multiplication.