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Mathematics 9 Online
OpenStudy (anonymous):

What is a googolplex and what is it used for?

OpenStudy (anonymous):

googleplex is a huge number

OpenStudy (anonymous):

How huge?

OpenStudy (anonymous):

\[10^{10^{100}}\]

OpenStudy (anonymous):

ಠ_ಠ

OpenStudy (anonymous):

its a huge number, and you know there is another number thats has a similar name

OpenStudy (anonymous):

its called googol,

OpenStudy (anonymous):

so a googol is 10^100?

OpenStudy (anonymous):

we can even write googolplex as: \[\huge 10^{googol}\]

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Cool

OpenStudy (anonymous):

You should be able to write it 10^10,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000,­000

OpenStudy (anonymous):

\[\huge {\color{Golden}{GOOGOLPLEX\:IS\:\:A\:HUGE\:NUMBER}}\]

OpenStudy (anonymous):

WHY WOULD YOU NEED IT?

OpenStudy (anonymous):

Ah

OpenStudy (anonymous):

it's not used for anything.

OpenStudy (anonymous):

there is no quantity in the universe that is usefully measured with a googleplex

OpenStudy (anonymous):

well there you go

OpenStudy (anonymous):

The total number of atoms in the universe is only 10^80

OpenStudy (anonymous):

Googleplex is such a big number that you literally couldn't even write the number down, even if you turned every atom in the universe into a 0. A googleplex has 10^100 zeros in it, but there are only 10^80 atoms to "write with".

OpenStudy (anonymous):

Woah, so a googleplex is bigger that the observable universe?

OpenStudy (anonymous):

than*

OpenStudy (anonymous):

the number itself, if written down in decimal form without exponentiation, is bigger than the universe

OpenStudy (anonymous):

let alone the quantity that the number represents!

OpenStudy (anonymous):

i mean, the smaller number, a googol, which is "only" 10^100, can at least be written down (10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000), even though the number it represents is larger than the number of atoms in the universe. a googol plex is a number that has a googol zeroes after it -- that's a number you can't even write down!

OpenStudy (anonymous):

Mindblowing!

OpenStudy (anonymous):

So there arent enough atoms in the world to write a googleplex down?

OpenStudy (anonymous):

right

OpenStudy (anonymous):

So... big...

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