# 2+2=...

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mister kitten

Sun 11 Apr, 2010 07:05 am
@Reconstructo,
Reconstructo;150446 wrote:
.5 in binary = 1/10 ?

I can't think of any rational numbers that wouldn't be translatable to base 2. 2 is a factor of all even numbers, and all odd numbers are only a unit away from an even number, right? If I understand correctly, a rational number is one that can be put into a fraction, so we don't even have to mess with "decimal" points.

Rational numbers as numbers that make sense, I thought. I'll go look it up.
Irrational numbers as numbers like pi or the square root of 2

Reconstructo

Sun 11 Apr, 2010 03:06 pm
@mister kitten,
mister kitten;150519 wrote:
Rational numbers as numbers that make sense, I thought. I'll go look it up.

Well, it's about the same thing. But technically, it's the ratio/fraction idea.

---------- Post added 04-11-2010 at 04:09 PM ----------

mister kitten;150519 wrote:

Irrational numbers as numbers like pi or the square root of 2

Indeed, except that pi is also transcendental, whereas the square root of 2 is just irrational. And this is because the square root of two is an algebraic expression with a finite number of operations. (In this case, one). Pi can't be written so simply, to say the least. It's a strange number, this mother of curves.

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