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What property states that changing the grouping of addends doesn't change the sum?
Wiki User
∙ 2014-01-14 20:16:37
The associative property, for example a + b + c = a + c + b
Wiki User
∙ 2014-01-14 20:16:37
Anonymous
the associative property
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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.
What is assosiative property of addition?
You can change the grouping of the addends and the sum will stay the same
Changing the grouping of a set of numbers does not change the sum?
associative property
What does changing the grouping of a set of numbers does not change the sum?
I think it is the Associative Property.
Changing the grouping of a set of numbers that does not change the sum?
That's the Associative Property.
What is the term for changing the grouping of a set of numbers that does not change the sum?
I think it is the Associative Property
What is the definition of the Commutative Property of Addition?
Changing the order of addends does not change their sum. In symbolic form, a + b =b + a. Subtraction is not commutative .
What is cummutative property?
Cummutative Property=> The order of addends [does not] change the sum!
What property allows the grouping of numbers in parentheses to change without changing the answer?
That would be the associative property. The associative property applies to addition and multiplication, but not to subtraction or division.
What is a definition for the associative property of multiplication and how you would use it to compute 4 times 25 times 27 mentally?
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.When we change the groupings of addends, the sum does not change:(2 + 5) + 4 = 11 or 2 + (5 + 4) = 11(9 + 3) + 4 = 16 or 9 + (3 + 4) = 16Just remember that when the grouping of addends changes, the sum remains the same.Multiplication ExampleWhen we change the groupings of factors, the product does not change:(3 x 2) x 4 = 24 or 3 x (2 x 4) = 24.Just remember that when the grouping of factors changes, the product remains the same.Think Grouping! Changing the grouping of addends does not change the sum, changing the groupings of factors, does not change the product.*** 4x(25x27) = (4x25)x27***
What states that the order of addends does not change the sum?
Commutative property of addition :)
What property of addition states that the way addends are grouped does not change the sum?
Communitive
Why can you change the order of the addends in the commutative property?
This is possible because the order of the addends does not matter. For example, 3+8 is the same as 8+3. No matter how you list the addends, the sum will always be the same.
