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

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lstrasmann
 3 years ago
Best ResponseYou've already chosen the best response.0yeah, 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)

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

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1a 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

ihatealgebrasomuch
 3 years ago
Best ResponseYou've already chosen the best response.0so, .5 is a real number?

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1does it have any complex part in it ? an \(i\) or \(\sqrt1\) ?

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1I mean \(\sqrt{1}\)

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1it must have a nonzero complex part to be exact

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1...if it is *not* to be a real number, that is

estudier
 3 years ago
Best ResponseYou've already chosen the best response.2But isn't the real line part of the complex plane?

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1all 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 :/

estudier
 3 years ago
Best ResponseYou've already chosen the best response.2s'K, just kidding a bit, it's the algebraist in me......

estudier
 3 years ago
Best ResponseYou've already chosen the best response.2I bet OP wish she never asked now.....:)

ihatealgebrasomuch
 3 years ago
Best ResponseYou've already chosen the best response.0so is .5 a real number???

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