Properties of real numbers w.r.t Addition:
a + b∈R, for all a, b ∈ R is
.......property w.r.t of real numbers.
a) closure
b) commutative
c) additive identity
Explanation:For example 2 and 3 are both real numbers and their sum 2+3=5 is also a real number
If a + b = b + a, for all a, b ∈R is........property of real numbers.
a) closure
b) commutative
c) associative
Explanation:For all 3 and 4 belongs to real number 3+4=4+3 7=7
(a+b)+c=a+(b+c), for all a,b,c∈R is........property of real
a) closure
b) commutative
c) associative
Explanation:For example for all 2, 3, 4 ∈ R
(2 + 3) + 4 = 2 + (3 + 4)
There exist a unique real number……....called additive identity, such that
a+0=a=0+a, for all a∈R
a) 1
b) 0
c)-1
d) All
Explanation:additive identity is something that have no effect on original value while adding i.e. for 5 ∈ R
Additive inverse of a real number b is………
a) 1
b) -1.
c) b
d) -b
