Hii,here is list of basic real numbers properties applying them you can solve the problems easily.


Assuming a,b,c,d are real numbers:

1)Commutative Property
a) Property of Addition: a+b = b+a
b)Property of Multiplication: ab = ba


2)Associative Property
a)Property of Addition: (a+b) + c = a + (b + c)
b)Property of Multiplication: ( ab )c = a ( bc )


3)Additive Identity:
a+0 = a where 0 is the additive identity
4)Additive Inverse:
For real number a, there exists -a such that
a+(-a) = 0
5)Multiplicative Identity:
For real number a,
1 X a = a
where 1 is the multiplicative identity
6)Multiplicative Inverse:
For real number X where a≠0, there exists 1/asuch that
a X(1/a) = 1
7)Zero Product Law:
If ab = 0, then a=0 or b=0 or both a and b = 0.

8)Distributive Properties:
a)Left distributive law
a (b + c ) = ab + ac
b)Right distributive law
(a + b) c = ac+ bc