  Question

Explain about properties of closure ,associate, commutative and distributive.

Solution

By closure propety mean..if we  add /subtracte/multiply/divide two number and answer is the sames a sthe  two number thatis.whether it is natural number ,integer ,whilenumber etc For example, the set of even natural numbers, 2, 4, 6, 8,….., is closed by the addition because the sum of any two of them is another even number. The closed set that satisfies the closure property.   Associative property means that u can add or multiply on any number in any order That is a+(b+c)=(a+b)+c Or a*(b*c)=(a*b)*c For example 2+(5+6) is same as (2+5)+6 Also 2*(5*6) is same as(2*5)*6 Divison and subtraction is not associative Commutative property It mean...if we do operation on two number Then a+b=b+a Or a*b=b*a Addition(eg) 2+3=3+2 Thus addition is commutative Multiplication 2*3=3*2 So multiplication is also comuatative Divison 2/3 is not equal to 3/2 So divison not comuatativ Subtraction 2-3 is not equal to3-2 So not comutataive Distributive property  Its states that a(b+c)=ab+ac For examples  2(3+5)IS same as 2*3.  +2*5 Mathematics

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