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associative property

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


What are numbers in a subtraction problem called?

regardless of what the problem is, they are always called integers. unless you have variables or fractions in the problem.


When simplifying an expression you a always b sometimes c never perform operations inside grouping symbols first?

A

Related questions

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 a definition for associative property of addition?

The property which states that for all real numbers a, b, and c, their sum is always the same, regardless of their grouping:(a + b) + c = a + (b + c)


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 is the definition associative property of addition?

The property which states that for all real numbers a, b, and c, their sum is always the same, regardless of their grouping:(a + b) + c = a + (b + c)


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.


How to factor by grouping?

Common factors are always odd numbers


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 associate property?

Associative property states that the change in grouping of three or more addends or factors does not change their sum or product For example, (A + B) + C = A + ( B + C) and so either can be written, unambiguously, as A + B + C. Similarly with multiplication. But neither subtraction nor division are associative.


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


When you add 2 negatives numbers is the result a positive number?

Never, it will always be negative, regardless the numbers.


What is the property that states that for three or more numbers and their sum or product is always the same?

associative property