What is the biggest number ever? (everybody knows)
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OpenStudy (anonymous):
there is no biggest number. if you know what it is, just add 1 to it and now that sum will be bigger.
OpenStudy (anonymous):
Correct!
OpenStudy (anonymous):
what's the smallest number?
OpenStudy (anonymous):
none
OpenStudy (anonymous):
0?
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OpenStudy (anonymous):
you can always keep subtracting
OpenStudy (anonymous):
there are negative numbers
OpenStudy (anonymous):
did you know that complex numbers aren't ordered?
OpenStudy (anonymous):
i did not
OpenStudy (anonymous):
you can only compare distances...
let \(z_1=a+bi,\text{ }z_2=c+di\) then \(|z_1|>|z_2|\Leftrightarrow\sqrt{a^2+b^2}>\sqrt{c^2+d^2}\)
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OpenStudy (anonymous):
interesting
OpenStudy (anonymous):
yeah, you can't say \(z_1>z_2\)... it has no meaning.
OpenStudy (anonymous):
so are you like some genius
OpenStudy (anonymous):
i wish!
OpenStudy (anonymous):
ur a guy right?
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OpenStudy (anonymous):
did you see my pic?
OpenStudy (anonymous):
i did
OpenStudy (anonymous):
well then...
OpenStudy (anonymous):
so what grade?
OpenStudy (anonymous):
um... graduated a while ago.
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OpenStudy (anonymous):
from a university
OpenStudy (anonymous):
sorry that was a weird question
OpenStudy (anonymous):
no worries.
OpenStudy (anonymous):
what level math are you studying?
OpenStudy (anonymous):
geometry
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OpenStudy (anonymous):
so complex numbers arise from letting \(i = \sqrt{-1}\). what would happen if we allowed negative absolute values?
OpenStudy (anonymous):
umm
OpenStudy (anonymous):
i am not that smart
OpenStudy (anonymous):
me neither but i wonder what would come out of it. people used to think that negative numbers were silly and had no meaning.
OpenStudy (anonymous):
i know!!!
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OpenStudy (anonymous):
lets see if you are really smart guess my age.
OpenStudy (anonymous):
and that was only a few hundred years ago! heck, many people didn't even recognize 0 as a number, except for a handful of cultures. No placeholders... i mean roman numerals are quite burdensome!
OpenStudy (anonymous):
ha!
OpenStudy (anonymous):
geometry usually means 8th, 9th or 10th grade so i would say you're pretty smart.
let's say 13.
OpenStudy (anonymous):
not quite
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OpenStudy (anonymous):
ooooh, 12? that's my favorite number response1
OpenStudy (anonymous):
nope
OpenStudy (anonymous):
am i high or low?
OpenStudy (anonymous):
i cannot tell that
OpenStudy (anonymous):
is it okay to round to the nearest integer?
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
14?
OpenStudy (anonymous):
nope
OpenStudy (anonymous):
15?
OpenStudy (anonymous):
nope
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OpenStudy (anonymous):
16?
17?
18?
19?
20?
OpenStudy (anonymous):
nope
OpenStudy (anonymous):
why don't you just tell me
OpenStudy (anonymous):
10
OpenStudy (anonymous):
wow! that's awesome! do you like geometry?
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OpenStudy (anonymous):
yup
OpenStudy (anonymous):
you doing proofs and everything?
OpenStudy (anonymous):
some people say i am strange
OpenStudy (anonymous):
i'm sure lots say that about me! have you seen the vi hart videos on youtube or Khan academy?
OpenStudy (anonymous):
i sure have
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OpenStudy (anonymous):
which do you like best?
OpenStudy (anonymous):
i assume you like them, of course
OpenStudy (anonymous):
i do put the Twelve Tones was so good!!!
OpenStudy (anonymous):
*but
OpenStudy (anonymous):
i haven't watched that one all the way through. i like the space time one with the music box player thingy. I want to get students to make flash cards out of the hexaflexagons. i really like most of them.
do you play an instrument?
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OpenStudy (anonymous):
I don't
OpenStudy (anonymous):
can yo prove that abc > 0 is divisible by 3 if and only if a + b + c is divisble by 3?
OpenStudy (anonymous):
What are you like a math teacher?
OpenStudy (anonymous):
yeah, i've done that
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
so can you?
OpenStudy (anonymous):
it's not too bad
OpenStudy (anonymous):
actually i have no clue
OpenStudy (anonymous):
want to see?
OpenStudy (anonymous):
sure
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OpenStudy (anonymous):
i understand that your 22
OpenStudy (anonymous):
abc = 100a + 10b + c = (99+1)a +(9 + 1)b + c = 99a + a + 9b + b +c =
99a + 9b + a + b + c = 3(33a + 3b) + (a + b + c)
so abc is divisible by 3 if and only if (a + b + c) is divisible by 3.
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
pretty good for a 22 year old
OpenStudy (anonymous):
yeah... not quite
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OpenStudy (anonymous):
what do you mean?
OpenStudy (anonymous):
i'm not 22 but that was my number when i played football
OpenStudy (anonymous):
oh cool so how old are u?????
OpenStudy (anonymous):
and it's 10 more than my favorite number answer... 12
OpenStudy (anonymous):
not so ole but a friend of mine from high school did become a grandparent 2 years ago. however, he's really young to be a grandparent!
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OpenStudy (anonymous):
"old"
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
so whats your name?
OpenStudy (anonymous):
pgpilot326
OpenStudy (anonymous):
you know what i mean
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OpenStudy (anonymous):
but you can call me fred
OpenStudy (anonymous):
ok fred
OpenStudy (anonymous):
and you?
OpenStudy (anonymous):
you can call me brookeallyalbob
OpenStudy (anonymous):
whoa... that's a humdinger!
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OpenStudy (anonymous):
i guess
OpenStudy (anonymous):
i am sorry but we are over
OpenStudy (anonymous):
Fred
OpenStudy (anonymous):
over?
OpenStudy (anonymous):
yes over
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