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What is assosiative property of addition?
You can change the grouping of the addends and the sum will stay the same
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 it called when you change the order of the factors or addends?
When you change the order of the factors in a multiplication equation, it is called the Commutative Property of Multiplication. This property states that changing the order of the factors does not change the product. Similarly, when you change the order of the addends in an addition equation, it is called the Commutative Property of Addition. This property states that changing the order of the addends does not change the sum.
Why can you change the order of the addends in the commutative property?
This is possible because the order of the addends does not matter. For example, 3+8 is the same as 8+3. No matter how you list the addends, the sum will always be the same.
What states that the order of addends does not change the sum?
Commutative property of addition :)
What is assosiative property of addition?
You can change the grouping of the addends and the sum will stay the same
What is the property that says you can change the grouping of addends?
The property that allows you to change the grouping of addends without changing the sum is called the associative property of addition. It states that you can regroup numbers being added or multiplied without affecting the final result.
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 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
Does associative property state that when the grouping of addends is changed the sum is the same?
Yes, but only if it is the associative property of addition - not other versions of it.
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***
Why can you change the order of the addends in the commutative property?
This is possible because the order of the addends does not matter. For example, 3+8 is the same as 8+3. No matter how you list the addends, the sum will always be the same.
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 is cummutative property?
Cummutative Property=> The order of addends [does not] change the sum!
What states that the order of addends does not change the sum?
Commutative property of addition :)
