0
What is the difference between the commutative property and the associative property?
Commutative: a + b = b + a a × b = b × a
Associative: (a + b) + c = a + (b + c) (a × b) × c = a × (b × c)
Commutative states that the sum or product remains the same no matter the order of the factors.
Associative states that the sum or product remains the same no matter the grouping of the factors.
Still curious? Ask our experts.
Chat with our AI personalities
Rafa
Beau
TaigaAdd your answer:
Earn +20 pts
What is the difference between the commutative property and associative property?
In the case of addition: Commutative property: a + b = b + a Associative property: (a + b) + c = a + (b + c) Note that (1) the commutative property involves two numbers; the associative property involves three; and (2) the commutative property changes the order of the operands; the associative property doesn't. Repeatedly applying the two properties allow you to rearrange an addition that involves several numbers in any order.
What is the difference between a commutative property and an associative property in math?
Commutative means that the order can be changed without affecting the answer. For example, multiplication is commutative but division is not. 2 x 4 = 8 and 4 x 2 = 8 (commutative) 2 / 4 = 1/2 but 4 / 2 = 2 (not commutative) Associative means that the order that two operations is completed can be changed without affecting the answer. (2 x 4) x 3 = 2 x (4 x 3) - (associative)
How can you tell the difference between the associative commutative distributive and the identity properties?
The associative property refers to grouping numbers, which allows you to regroup numbers without changing the answer. 2(1x) = (2x1)xThe commutative property refers to changing the order of numbers without changing the answer. 4+1 = 1+4The distributive property refers to distribution of multiplication over addition. a x (b + c) = a x b + a x c
What is the difference between a commutative axiom and an associative axiom?
Commutative Property: The order of the objects from left to right doesn't matter.For example : 5+3+2 = 3+2+5 = 2+3+5, etc... Because addition is commutative.Associative Property: Where we put parentheses doesn't matter.For example: x(yz) = (xy)z if x, y, and z are numbers.
What is a way to remember the properties of math?
All i know is how to remember associative property. In associative property you can have the parentheses in between any numbers and it will be the same answer.
