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

Sum is to addends as product is to what?

factors


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

The associative property


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

Associative Property


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***


Definition of associative property?

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


The sum of two numbers is 42thier product is 360what are the two numbers?

Start with the product. There are fewer factors than addends.1,3602,1803,1204,905,726,608,459,4010,3612,30 We have a winner!!!15,2418,20


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

The commutative property of multiplication


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 definition and example of associative property?

The associative property states that the change in grouping of three or more addends or factors does not change their sum or product. An example would be: When adding- (a+b)+c is the same as a+(b+c) When multiplying- (ab)c is the same as a(bc) Note: "a", "b", and "c" are undefined variables


What does the fundamental theorem of arithmetic state?

Fundamental theorem of arithmetic :- Every composite number can be expressed (factorized) as a product of primes, and this factorization is unique . apart from the other in which factors occur.


What are th 4 fundamental laws in mathematics?

The Law of 4 Laws of addition and multiplication Commutative laws of addition and multiplication. Associative laws of addition and multiplication. Distributive law of multiplication over addition. Commutative law of addition: m + n = n + m . A sum isn't changed at rearrangement of its addends. Commutative law of multiplication: m · n = n · m . A product isn't changed at rearrangement of its factors. Associative law of addition: ( m + n ) + k = m + ( n + k ) = m + n + k . A sum doesn't depend on grouping of its addends. Associative law of multiplication: ( m · n ) · k = m · ( n · k ) = m · n · k . A product doesn't depend on grouping of its factors. Distributive law of multiplication over addition: ( m + n ) · k = m · k + n · k . This law expands the rules of operations with brackets (see the previous section).


Arithmetic product of 2 and 5?

10