Addition Properties Of Real Numbers

Addition Properties Of Real Numbers:-

 (i)The Closure property:-
Real numbers are closed under addition, subtraction, and multiplication.That means if a and b are real numbers, then a + b is a unique real number, and a.b is a unique real number.

For Example:- 3 and 11 are real numbers.

3+11=14

and 3.11=33 notice that 14 and 33 both are real numbers.

(ii)Commutative property Addition:-

a+b=b+a

if you add two real number in any order the sum will always be the same or equal.

Example:-

3+7=7+3= 10

(iii)Associative property of addition:-

(a + b) + c = a + (b + c)

If you are adding three real numbers, the sum is always the same regardless of their grouping.

Example:-

(2+4)+1=2+(4+1)=7

(iv)Additive identity property of addition:-

a + 0 = a

If you add a real number to zero, the sum will be the original number itself.

Example:-

5+0=0+5=5

(v)Additive Inverse Property of addition

                   a + (– a) = 0

  If you add a real number and its opposite, you will always get zero.

                      Example:-
                     18+(-18)=0