Question

what is commutative,
Associative and Distributive laws in math's??.​

Answer 1

Answer:

1) In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. ... The idea that simple operations, such as the multiplication and addition of numbers, are commutative was for many years implicitly assumed

2). KEY IDEA: In the Associative Law, the parentheses move but the numbers or letters do not. The Associative Law works when we add or multiply. It does NOT work when we subtract or divide. The Distributive Law ("multiply everything inside parentheses by what is outside it").

Answer 2

Answer:

1)Commutative :- The Commutative laws state that the order in which you add or multiply two real numbers does not affect the result.

Eg:- (a + b = b + a ) = 3 +5 = 5 + 3 = 8

2) Associative :- The associative laws state the when you add or multiply any three real numbers, the grouping of the numbers does not affect the result.

Eg:- (a + b )+ c = a +( b + c) = (2+3) +5 = 5+5 = 10

3)In mathematics, the distributive property of binary operations generalized the distributive law from boolean algebra and elemanatary algebra.

Eg:- a( b + c ) = ab + ac