Is zero imaginary or not? I think it is because #0=0i# where #i# is iota. If it is imaginary then why every venn diagram of real and imaginary numbers on internet is disjoint. However, it should be overlapping.

1 Answer
Monzur R.
Aug 29, 2017

Zero is a real number because it exists in the real plane, ie, the real number line. 8

Explanation:

Your definition of an imaginary number is incorrect.

An imaginary number is of the form #ai# where #a!=0#

A complex number is of the form #a+bi# where #a,b in RR#. Therefore, all real numbers are also complex. Also, a number where #a=0# is said to be purely imaginary.

A real number, as stated above, is a number which has no imaginary parts. This means that the coefficient of #i# is #0#.

Also, iota is an adjective meaning a small amount. We do not use it to denote the imaginary unit. Instead, #i# stands for imaginary number, rather aptly.

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