Question

R imaginary numbers negative or positive?

Answer 1

are real numbers negative or positive?

Answer 2

no

Answer 3

n imaginary number is a number with a square that is negative. When any real number is squared, the result is never negative, however, the square of an imaginary number is always negative. Imaginary numbers have the form bi where b is a non-zero real number and i is the imaginary unit, defined such that i 2 = −1.[1]

Answer 4

there is an additive identity to the imaginaries; but keep in mind that there are subtleties to account for

Answer 5

the question as i understand it is "are imaginary numbers positive or negative" which i take to mean
"can we classify imaginary numbers as positive or negative as we do with real numbers?" and the answer is
no

Answer 6

i and -i exist is how i interpret it

Answer 7

if the question means "are imaginary numbers positive?" the answer is no
and if the question is "are imaginary numbers negative?" the answer is also no

Answer 8

they are not "ordered" as the real numbers are ordered

Answer 9

o.o I get it now... so like, I can't exactly classify it like I can do with real numbers... but can real numbers be fractions?

Answer 10

positive real numbers are numbers that live to the left of zero on the number line, likewise negative numbers are numbers that live to the left of 0 on the number line and if you have an imaginary number that is not real it does not live on the number line it lives in the complex plane, so it can be neither positive nor negative

Answer 11

actually that first sentence should read "to the right of zero"

Answer 12

should there be some seperation of terminology between pure imaginary and complex?

Answer 13

so can real numbers be fractions and/or square rooots of anything???

Answer 14

yes pure imaginary means real part is 0

Answer 15

complex means a number of the form
\[a+bi\]so of course real numbers are also complex (put b = 0)

Answer 16

that is why i said "complex number that is not also real"

Answer 17

im just curious as to why when we can stack real numbers in the complex plane to form a line; why we can t consider stacking the pure imaginaries in the same manner as we do the y axis, and call it a number line as well