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Mathematics 24 Online
OpenStudy (anonymous):

Estimate 2^64 without a calculator?

ganeshie8 (ganeshie8):

\[2^{10} \approx 10^3\]

OpenStudy (anonymous):

billions and billions

OpenStudy (anonymous):

2^ 64 = 2^4(2^10)^6 2^4 * (1000) ^6 2^4 * 10^18 16 * 10^18 does that work?

ganeshie8 (ganeshie8):

Looks good, so its 16 followed by 18 zeroes

ganeshie8 (ganeshie8):

your estimation is very close, see http://www.wolframalpha.com/input/?i=2%5E+64

OpenStudy (anonymous):

ooo coolio

OpenStudy (anonymous):

quintillion is a big number :p

OpenStudy (anonymous):

What if you had a question like which is larger 2^125 or 32 * 10^36

ganeshie8 (ganeshie8):

Indeed it takes you out of our galaxy! see this video https://www.youtube.com/watch?v=5CKd0aPSWe8

OpenStudy (anonymous):

ooo movies

ganeshie8 (ganeshie8):

use the same trick to compare

ganeshie8 (ganeshie8):

Notice that \(\large 2^{10} = 1024\gt 10^3\)

OpenStudy (zarkon):

@satellite73 was that a Carl Sagan reference :)

OpenStudy (anonymous):

this movie hurts my brain

OpenStudy (anonymous):

:o those special effectss

ganeshie8 (ganeshie8):

hey that video was made in 1977 so you will have to excuse the special effects lol

OpenStudy (anonymous):

Haha it's awesome

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