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Question Number 47523 by hassentimol last updated on 11/Nov/18

I have a question, Can we consider as a complex number a number if its real part or his imaginary part is null ? For example : a + b i where a=0 xor b=0. for example, a=7 and b=0 7 + 0i = 7 So, is a whole number for example may be considered as a complex number ?

$$\mathrm{I}\:\mathrm{have}\:\mathrm{a}\:\mathrm{question}, \\ $$$$\mathrm{Can}\:\mathrm{we}\:\mathrm{consider}\:\mathrm{as}\:\mathrm{a}\:\mathrm{complex}\:\mathrm{number}\:\mathrm{a} \\ $$$$\mathrm{number}\:\mathrm{if}\:\mathrm{its}\:\mathrm{real}\:\mathrm{part}\:\mathrm{or}\:\mathrm{his}\:\mathrm{imaginary} \\ $$$$\mathrm{part}\:\mathrm{is}\:\mathrm{null}\:? \\ $$$$\mathrm{For}\:\mathrm{example}\:: \\ $$$${a}\:+\:{b}\:{i} \\ $$$$\mathrm{where}\:\mathrm{a}=\mathrm{0}\:\mathrm{xor}\:\mathrm{b}=\mathrm{0}. \\ $$$$\mathrm{for}\:\mathrm{example}, \\ $$$$\mathrm{a}=\mathrm{7}\:\mathrm{and}\:\mathrm{b}=\mathrm{0} \\ $$$$\mathrm{7}\:+\:\mathrm{0}{i}\:=\:\mathrm{7} \\ $$$$\mathrm{So},\:\mathrm{is}\:\mathrm{a}\:\mathrm{whole}\:\mathrm{number}\:\mathrm{for}\:\mathrm{example}\:\mathrm{may}\:\mathrm{be} \\ $$$$\mathrm{considered}\:\mathrm{as}\:\mathrm{a}\:\mathrm{complex}\:\mathrm{number}\:? \\ $$

Commented by maxmathsup by imad last updated on 11/Nov/18