Associative Property
Changing the grouping of numbers will NOT change the value. For example: (7 + 4) + 8 = 7 + (4 + 8). Also works with multiplication.
The Associative property is a mathematical property that is applied in operations like addition and multiplication. It states that the way we group three or more numbers will not affect the result obtained from performing the operation.
For example, in addition, the associative property states that if we are adding three or more numbers, we can change the grouping of those numbers, and the final result will be the same.
Let’s consider the following example:
(3 + 4) + 2 = 3 + (4 + 2) = 9
We can see here that we grouped the numbers differently, but still obtained the same result. This is because of the associative property of addition.
Similarly, the associative property also applies to multiplication which states that if we are multiplying three or more numbers, we can change the grouping of those numbers, and the final result will be the same.
For example,
(2 x 3) x 4 = 2 x (3 x 4) = 24
In this case, we can see that the numbers were grouped differently, but the final result is the same. This is the associative property of multiplication.
The Associative property is a fundamental concept in mathematics and allows us to make complex calculations more manageable by breaking them down into smaller, easily solvable parts.
More Answers:
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