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When the grouping of factors is changed the product stays the same what is this called?
The commutative property of multiplication
What are the product of factors of 12?
The product of all of the factors of 12 is 1,728 .
What are all the product of all the factors of 8 and 32?
The product of all factors of the two numbers is 2097152.
Does the number of positive factors affect the sign of the product?
No. Any number of positive factors will lead to a positive product.
What are the factors and prime factors of 545?
As a product of its prime factors: 5*109 = 545
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
Which property states the grouping of the factors does not affect the product?
The property that states the grouping of the factors does not affect the product is known as the Associative Property of Multiplication. This means that when multiplying three or more numbers, the way in which the numbers are grouped does not change the final product. For example, (2 × 3) × 4 equals 2 × (3 × 4), both resulting in 24.
What are the propertys of multiplycation?
The properties of multiplication include commutative property (changing the order of factors does not change the product), associative property (changing the grouping of factors does not change the product), distributive property (multiplication distributes over addition), and identity property (multiplying a number by 1 gives the same number).
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.
What is subtraction commutative or associative?
Subtraction is neither commutative property or association property because commutative property of multiplication is when you change the order of the factors the product stays the same and it isn't associated property because you can change the grouping of the factors the product stays the same you can't do that first attraction it wouldn't work it would be a negative zero.
Is this true or false In arithmetic the grouping of the addends or factors does not affect the sum or product?
True.
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.
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 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***
