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The associative feature of multiplication states that no matter the how three numbers are grouped, the outcome is the same when three or more integers are multiplied.
What is associative property of multiplication?
According to the associative feature of multiplication, the product of the numbers in a multiplication issue is unaffected by how those numbers are arranged in the problem.
In other words, no matter how the numbers are organized, the product between three or more integers remains the same.
The formula for associative property of multiplication is-
(a × b) × c = a × (b × c)
This formula explains that the result of a multiplication expression is constant regardless of where the brackets are positioned. It is easier to calculate multiplication when numbers are grouped together using brackets to produce smaller components.
Let's multiply 2 by 3 by 4, for instance, to understand how the formula for the associative property for multiplication is demonstrated using the steps below:
- Step 1: Let's combine the numbers 2 and 3 to get (2 × 3) × 4. If we calculate this expression's product, we get 6 x 4, or 24.
- Step 2: Let's combine 3 and 4 and form the number 2 × (3 × 4). When we multiply that expression, we get 2 x 12 and the result is once more 24.
- Step 3: This indicates that the result of a multiplication expression is constant regardless of how the numbers are grouped.
To know more about associative property of multiplication, here
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