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# What is commutative and associative in math?

Updated: 9/20/2023

Wiki User

13y ago

A binary operator is a mathematical operator that performs some operation (eg addition, multiplication) on two operands to produce a result.

Commutativity is the property of some binary operations whereby, the order of the operands does not matter. For example, a + b = b + a

Associativity is the property of some binary operators whereby, if there is a sequence of such operations, the order in which the operations are carried out does not matter. However, the order of the operands may affect the result. For example, (a + b) + c = a + (b + c) and so we may write them simply as a + b + c.

Wiki User

13y ago

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Q: What is commutative and associative in math?
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### What are the math properties?

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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)

No.

### Which property is which in math?

the basic number properties in math are associative, commutative, and distributive associative: (for addition) a+(b+c)=(a+b)+c (for multiplication) a(bc)=(ab)c or a*(b*c)=(a*b)*c commutative: (for addition) a+b=b+a (for multiplication) a*b=b*a or ab=ba distributive: a(b+c)=ab+ac or a(b+c)=a*b + a*c

Associative

NAND

### What is the properties under multiplication?

commutative, associative, distributive