Associative Property Examples
Example 1: If 2 × (3 × 4) = 24, then find the product of (2 × 3) × 4 using the associative property.
Solution:
As we know Associative property is applicable for multiplication, It states that product of three or more numbers remains the same regardless of how the numbers are grouped
(2 × 3) × 4 = 2 × (3 × 4)
⇒ 24 = 24
Example 2: Prove the associative property of multiplication for the whole numbers 5, 0, and 15.
Solution:
According to the associative property of multiplication:
(A × B) × C = A × (B × C)
⇒ 5 × (0 × 15) = (5 × 0) × 15
⇒ 5 × 0 = 0 × 15
⇒ 0 = 0
Hence, Proved
Example 3: Solve the equation 12 + (10 + 2) using the Associative property.
Solution:
We know that Associative property are:
(A + B) + C = A + (B + C)
So, (12 + 10) + 2 = 12 + (10 + 2)
⇒ 22 + 2 = 12 + 12
⇒ 24 = 24
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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