Question

PROVE SYSTEMATICALLY WHY REAL NUMBERS ARE SUBSET OF COMPLEX NUMBERS

Answer 1

i think it has something to do with the fact that a + bi when b = 0 is a real number

likewise, a + bi when a = 0 is an imaginary number

therefore, they would be subsets of the complex numbers and in a sense the complex numbers are a bridge between the two

its 3am though so im not going to systematically prove anything lol

Answer 2

OK I GET U BT CAN U EXPLIAM FARTHERE

Answer 3

well another way to explain it is:

a + bi = 0

a is a real number, bi is a complex number

you can put any real number in for a, and when b = 0, you will receive a real number.

therefore, the reals must be a subset of complex numbers, because a complex number of the form a + bi can output every possible real number.

(or)

you could assume the reals aren't a subset of the complex numbers, and go from there.

Answer 4

BT I LEARNT THAT REAL NUMBERS ARE (-) numbers and (+) numbers so pls list the numbers of real numbers and complex numbers and put them in a venn diagram

Answer 5

@biney hi ,you dont like this systematically explication of ... , a ,,proofe" of ....?

Answer 6

bt some illustration will help