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The associative law means that, for certain operations, if the operation is repeated several times it doesn't matter whether you start from the left or from the right. More formally (in the case of addition):
(a + b) + c = a + (b + c)
Example with numbers:
(1 + 2) + 3 = 1 + (2 + 3)
Note that the parentheses specify the order of operations. Numbers within parentheses should be added first. The associative law also applies to multiplication of real numbers, and to some other operations in advanced math.
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What are the associativecommunicative and distributive laws of mathematics?
For any three numbers a, b, and c:a + b = b + a (commutative law)(a + b) + c = a + (b + c) (associative law)Both the commutative and associative laws are also valid for multiplication.a x (b + c) = (a x b) + (a x c) (distributive law)For any three numbers a, b, and c:a + b = b + a (commutative law)(a + b) + c = a + (b + c) (associative law)Both the commutative and associative laws are also valid for multiplication.a x (b + c) = (a x b) + (a x c) (distributive law)For any three numbers a, b, and c:a + b = b + a (commutative law)(a + b) + c = a + (b + c) (associative law)Both the commutative and associative laws are also valid for multiplication.a x (b + c) = (a x b) + (a x c) (distributive law)For any three numbers a, b, and c:a + b = b + a (commutative law)(a + b) + c = a + (b + c) (associative law)Both the commutative and associative laws are also valid for multiplication.a x (b + c) = (a x b) + (a x c) (distributive law)
What is the meaning of associative law in mathematics?
The Associative Property of Addition and Multiplication states that the sum or product will be the same no matter the grouping of the addends or factors. Associative: (a + b) + c = a + (b + c) (a × b) × c = a × (b × c)
Example of associative law of addition?
(1 + 2) + 3 = 1 + (2 + 3)
Does commutative law apply in the operation of sets?
Both union and intersection are commutative, as well as associative.
What is the synonym of associative property?
There is no synonym for the associative properties.
