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what exactly is a 'real number' does that mean whole # or can it be like .5?
 one year ago
 one year ago
what exactly is a 'real number' does that mean whole # or can it be like .5?
 one year ago
 one year ago

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lstrasmannBest ResponseYou've already chosen the best response.0
yeah, i think real numbers can be basically any number on the number line (including decimals and fractions) according to wikipedia it includes integers fractions and unrational numbers (Pi for example)
 one year ago

estudierBest ResponseYou've already chosen the best response.2
whole #  this is not defined by mathematicians (use integer, positive integer, natural number, etc)
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
a real number is any number that appears on the real line; i.e. does not have an imaginary (complex) part complex numbers involve \[i=\sqrt{1}\]which is not a real number, because there is no real number \((\infty,\infty)\) number that satisfies \(\sqrt{1}\) our guesses might be 1 and 1, but...\[1\cdot1=1\neq1\]and\[(1)(1)=1\neq1\]so there is no "real" number that satisfies the expression real numbers in no way have to be whole numbers
 one year ago

ihatealgebrasomuchBest ResponseYou've already chosen the best response.0
so, .5 is a real number?
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
does it have any complex part in it ? an \(i\) or \(\sqrt1\) ?
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
I mean \(\sqrt{1}\)
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
it must have a nonzero complex part to be exact
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
...if it is *not* to be a real number, that is
 one year ago

estudierBest ResponseYou've already chosen the best response.2
But isn't the real line part of the complex plane?
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
all real numbers are complex, not all complex are real if I am phrasing it poorly above I am only being too lazy since I'm about to leave, sorry :/
 one year ago

estudierBest ResponseYou've already chosen the best response.2
s'K, just kidding a bit, it's the algebraist in me......
 one year ago

estudierBest ResponseYou've already chosen the best response.2
I bet OP wish she never asked now.....:)
 one year ago

ihatealgebrasomuchBest ResponseYou've already chosen the best response.0
so is .5 a real number???
 one year ago

estudierBest ResponseYou've already chosen the best response.2
A simple answer is that pretty much all the numbers you are used to (including 0.5) are real.
 one year ago
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