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The associative property

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โˆ™ 2012-07-07 05:14:15
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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: What property when product is not affected by the grouping of the factors?
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What is the grouping of factors is changed the product remains the same?

Associative Property


Definition of associative property?

Changing the grouping of the factors. The product stays the same.


When the grouping of factors is changed the product stays the same what is this called?

The commutative property of multiplication


The property that states that for three or more numbers their sum or product is always the same regardless of their grouping?

The associative property.


Is this true or false In arithmetic the grouping of the addends or factors does not affect the sum or product?

True.


Does changing the grouping of factors change the sum?

No, but if you're talking about factors, the result is a product. (a × b) × c = a × (b × c)


What is the difference between the commutative property and the associative property?

Commutative: a + b = b + a a × b = b × a Associative: (a + b) + c = a + (b + c) (a × b) × c = a × (b × c) Commutative states that the sum or product remains the same no matter the order of the factors. Associative states that the sum or product remains the same no matter the grouping of the factors.


Changing the orders of factors does not change the product?

The Commutative Property of Multiplication states that changing the order of the factors does not change the product


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)


What is the associative property for multiplication?

An observation that grouping or associating numbers in differing orders results in the same product during a multiplication operation....


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***


Which propery of multiplication states that changing the order of the factors does not change the product?

The commutative property of multiplication states that changing the order of the factors does not change the product.

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