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Mathematics 18 Online
OpenStudy (anonymous):

What is the biggest number ever? (everybody knows)

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?

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 \(|z_1|>|z_2|\Leftrightarrow\sqrt{a^2+b^2}>\sqrt{c^2+d^2}\)

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?

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.

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

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!!!

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

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?

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

14?

OpenStudy (anonymous):

nope

OpenStudy (anonymous):

15?

OpenStudy (anonymous):

nope

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?

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

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?

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

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

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

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!

OpenStudy (anonymous):

"old"

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

so whats your name?

OpenStudy (anonymous):

pgpilot326

OpenStudy (anonymous):

you know what i mean

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!

OpenStudy (anonymous):

i guess

OpenStudy (anonymous):

i am sorry but we are over

OpenStudy (anonymous):

Fred

OpenStudy (anonymous):

over?

OpenStudy (anonymous):

yes over

OpenStudy (anonymous):

okay. have a great night!

OpenStudy (anonymous):

um thats not hat i mean

OpenStudy (anonymous):

what do you mean?

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