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Changing the grouping of a set of numbers does not change the sum?
associative property
What property states that changing the order of factors does not change the product?
Commutative property: When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands. For example 4 * 2 = 2 * 4
What property allows you to change the order of the terms when adding OR multiplying without changing the outcome?
The property you're looking for is called the Commutative property. This means you can commute, or move the terms around (when being added, or multiplied) and it won't change the answer. ex: 3 * 5 = 5 * 3 x * y = y * x 1 + 10 = 10 + 1 x + y = y + x
What is Associative Property?
The addition or multiplication of a set of numbers is the same regardless of how the numbers are grouped. The associative property will involve 3 or more numbers. The parenthesis indicates the terms that are considered one unit.The groupings (Associative Property) are within the parenthesis. Hence, the numbers are 'associated' together. In multiplication, the product is always the same regardless of their grouping. The Associative Property is pretty basic to computational strategies. Remember, the groupings in the brackets are always done first, this is part of the order of operations.
What is the definition of associative property?
The associative property of a binary operator denoted by ~ states that form any three numbers a, b and c, (a ~ b) ~ c = a ~ (b ~ c) and so we can write either as a ~ b ~ c without ambiguity. The associative property of means that you can change the grouping of the expression and still have the same result. Addition and multiplication of numbers are associative, subtraction and division are not.
