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Does changing the grouping of factors change the sum?

Updated: 8/18/2019
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11y ago

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No, but if you're talking about factors, the result is a product.

(a × b) × c = a × (b × c)

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11y ago
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Q: Does changing the grouping of factors change the sum?
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Related questions

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 property states that changing the grouping of addends doesn't change the sum?

The associative property, for example a + b + c = a + c + b


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

True.


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 assosiative property of addition?

You can change the grouping of the addends and the sum will stay the same


What is the associative property of addition?

the associative property of addition means that changing the grouping of the addends doesn't affect the sum


Definition for a associative property addition?

the associative property of addition means that changing the grouping of the addends doesn't affect the sum


What are categories for grouping data?

sum


Simplify law of addition?

The Associative Law of Addition says that changing the grouping of numbers that are added together does not change their sum. This law is sometimes called the Grouping Property. Examples: x + (y + z) = (x + y) + z. Here is an example using numbers where x = 5, y = 1, and z = 7.