Associative Property of Multiplication Example
Some example on Associative Property of Multiplication are,
Example 1: Using the associative property, solve the multiplication of three numbers: (2 × 3) × 4.
Solution:
(2 × 3) × 4 = 6 × 4 = 24
Now, let’s rearrange the grouping:
2 × (3 × 4) = 2 × 12 = 24
The result is the same in both cases, illustrating the associative property.
Example 2: Apply the associative property to the multiplication of 1, 5, and 2
Solution:
(1 × 5) × 2 = 5 × 2 = 10
And when the grouping is changed:
1 × (5 × 2) = 1 × 10 = 10
Once again, the result is consistent, affirming the associative property.
Example 3: Apply the Associative property to a set of decimals: 0.5 × 2 × 3
Solution:
(0.5 × 2) × 3
(0.5 × 2) × 3 = 1 × 3 = 3
Change the grouping
0.5 × (2 × 3) = 0.5 × 6 = 3
The result is unchanged, emphasizing the associative property.
Example 4: Demonstrate the associative property with : (-2 × 4) × 3.
Solution:
(-2 × 4) × 3 = -8 × 3 = -24
Rearrange the grouping
-2 × (4 × 3) = -2 × 12 = -24
The consistency holds, even with negative numbers.
Associative Property of Multiplication
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.
Table of Content
- What is Associative Property of Multiplication?
- Associative Property of Multiplication Formula
- Associative Property of Multiplication and Addition
- Conclusion
- Solved Example
- FAQs