anonymous
  • anonymous
what exactly is a 'real number' does that mean whole # or can it be like .5?
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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lstrasmann
  • lstrasmann
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)
anonymous
  • anonymous
whole # - this is not defined by mathematicians (use integer, positive integer, natural number, etc)
TuringTest
  • TuringTest
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...\[1\cdot1=1\neq-1\]and\[(-1)(-1)=1\neq-1\]so there is no "real" number that satisfies the expression real numbers in no way have to be whole numbers

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anonymous
  • anonymous
so, .5 is a real number?
TuringTest
  • TuringTest
does it have any complex part in it ? an \(i\) or \(\sqrt1\) ?
TuringTest
  • TuringTest
I mean \(\sqrt{-1}\)
anonymous
  • anonymous
0.5 + 0i
TuringTest
  • TuringTest
oh you cheater :P
anonymous
  • anonymous
:-)
TuringTest
  • TuringTest
it must have a non-zero complex part to be exact
TuringTest
  • TuringTest
...if it is *not* to be a real number, that is
anonymous
  • anonymous
But isn't the real line part of the complex plane?
TuringTest
  • TuringTest
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 :/
anonymous
  • anonymous
s'K, just kidding a bit, it's the algebraist in me......
TuringTest
  • TuringTest
good habit ;)
anonymous
  • anonymous
I bet OP wish she never asked now.....:-)
anonymous
  • anonymous
so is .5 a real number???
anonymous
  • anonymous
A simple answer is that pretty much all the numbers you are used to (including 0.5) are real.

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