answersLogoWhite

0

How are associative and commutative property's different?

Updated: 9/17/2019
User Avatar

Wiki User

6y ago

Best Answer

The commutativity is a property of binary operations, and it states that the order in which the operands appear does not matter.

If a and b are two elements and * is an operator then commutativity implies that

a * b = b * a

Ordinary addition and multiplication and commutative but subtraction and division are not. Matrix multiplication is not commutative.

Associativity is a property of ternary operations, and states that the order in which the operations are carried out does not matter.

If a, b and c are elements and * an operator, then

a * (b * c) = (a * b) * c so that they can be written as a * b * c without ambiguity.

Addition and multiplication (including matrices) are associative. Subtraction and division are not.

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How are associative and commutative property's different?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What are all the propertys in math?

zero property, inverse, commutative, associative, and distributative


What is subtraction commutative or associative?

Subtraction is neither commutative nor associative.


Do the commutative and associative laws apply to vector subtraction?

No, changing order of vectors in subtraction give different resultant so commutative and associative laws do not apply to vector subtraction.


How is subtraction rational numbers different from adding?

Subtraction is not commutative nor associative.


What are commutative and associative properties of addition?

Commutative Law: a + b = b + a Associative Law: (a + b) + c = a + (b + c)


What happens to the product when you change the grouping of three factors in a multiplication problem?

Nothing. Multiplication is commutative and associative.Nothing. Multiplication is commutative and associative.Nothing. Multiplication is commutative and associative.Nothing. Multiplication is commutative and associative.


What are the different properties of mutiplication?

Commutative a*b=b*a Associative (a*b)*c=a*(b*c)


Are there commutative and associative properties for Subtraction and division?

No.


An example of binary operation which is commutative but not associative?

NAND


What is the properties under multiplication?

commutative, associative, distributive


Is 3 plus 10 equals 10 plus 3 commutative or associative of distributive?

Associative


Does commutative law apply in the operation of sets?

Both union and intersection are commutative, as well as associative.