Question

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

Answer 1

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