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The associative property.

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Q: The property that states that for three or more numbers their sum or product is always the same regardless of their grouping?
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What is the definition associative property multiplication?

The property states that for all real numbers a, b, and c, their product is always the same, regardless of their grouping: (a . b) . c = a . (b . c) Example: (6 . 7) . 8 = 6 . (7 . 8) The associative property also applies to complex numbers. Also, as a consequence of the associative property, (a . b) . c and a . (b . c) can both be written as a . b . c without ambiguity.


What are the properties of multication and what does it mean?

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 * 4Associative Property: When three or more numbers are multiplied, the product is the same regardless of the grouping of the factors. For example (2 * 3) * 4 = 2 * (3 * 4)Multiplicative Identity Property: The product of any number and one is that number. For example 5 * 1 = 5.Distributive property: The sum of two numbers times a third number is equal to the sum of each addend times the third number. For example 4 * (6 + 3) = 4*6 + 4*3Zero property: When you need to multiply 0 you must always put 0 such as0X10=0


Definition of associative property?

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


What is the definition of the associative property of multiplication?

The associative property of multiplication states that for 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 multiplication means that you can change the grouping of the expression and still have the same product.


When using distributive property if you add the numbers is the answer a product or a sum?

If you simply add numbers the answer is the sum of those numbers.

Related questions

Write a definition for the the Associative Property of Multiplication in your own words and explain how you would use it to compute 4x25x27 mentally.?

the property which states that for all real numbers a,b,and c their product is always the same, regardless of their grouping


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 property when product is not affected by the grouping of the factors?

The associative property


A property of real numbers that states that the sum or product of a set of numbers or variables has the same value regardless fo how the numbers or variables are grouped?

This is called the "commutative" property.


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 the definition associative property multiplication?

The property states that for all real numbers a, b, and c, their product is always the same, regardless of their grouping: (a . b) . c = a . (b . c) Example: (6 . 7) . 8 = 6 . (7 . 8) The associative property also applies to complex numbers. Also, as a consequence of the associative property, (a . b) . c and a . (b . c) can both be written as a . b . c without ambiguity.


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 is the grouping of factors is changed the product remains the same?

Associative Property


When two numbers are multiplied together the product is the same regardless of the order of the multiplicands?

That is due to the Abelian, or commutative property of multiplication over the set of numbers.


What are the properties of multication and what does it mean?

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 * 4Associative Property: When three or more numbers are multiplied, the product is the same regardless of the grouping of the factors. For example (2 * 3) * 4 = 2 * (3 * 4)Multiplicative Identity Property: The product of any number and one is that number. For example 5 * 1 = 5.Distributive property: The sum of two numbers times a third number is equal to the sum of each addend times the third number. For example 4 * (6 + 3) = 4*6 + 4*3Zero property: When you need to multiply 0 you must always put 0 such as0X10=0


Definition of associative property?

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


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