What does 9,600,000,000,000,000,000,000 mean?
Date: 11/20/96 at 09:47:15 From: Anonymous Subject: Imagining large numbers Dear Dr. Math, My class is trying to find out what this number means: 9,600,000,000,000,000,000,000 Thank you.
Date: 12/11/96 at 21:55:06 From: Doctor Daniel Subject: Re: Imagining large numbers Hi there, That's a really big number! First, we'll give it a name... We call 1,000,000 a million, 1,000,000,000 a billion, 1,000,000,000,000 a trillion, 1,000,000,000,000,000 a quadrillion, 1,000,000,000,000,000,000 a quintillion, and 1,000,000,000,000,000,000,000 a sextillion. Your number is 9,600,000,000,000,000,000,000, so it's 9 sextillion, 600 quintillion. But that's not very helpful; I mean, what's a sextillion? To make things easier for me to write, let's say it's 10 sextillion. Close enough, right? Let's think in terms of things your class can maybe imagine. Right now, there are about 5 billion (5,000,000,000) people on earth. If we divided 10 sextillion by 5 billion, we'd have 2 trillion as the quotient. So suppose there were something we all had 2 trillion of. Then all people together would have roughly 10 sextillion of them. But what do we all have roughly 2 trillion of? It'd have to be really small, right? It turns out that we all have about that many nerve cells in our brains. So your really big number is something pretty close to the total number of nerve cells in people on Earth. Wow! That might give you a decent idea of how to imagine lots of big numbers; you can divide by the 5 billion people on Earth or the 250,000,000 (250 million) people in the U.S.A. to get an idea of "every person's share." Then try to find something that we all have that share of... Here's another big number, to give another example: How much is 8,200,000,000,000? The word for that is 8 trillion, 200 billion. But if we divide by the number of people in the US, that's roughly 36,000. That's not too bad a guess for, say, how much money the average person makes in a year in the US (actually, it's a little high). So 8.2 trillion is then roughly the total amount of money from everyone in America's annual paycheck. Get the idea? This trick works for a lot of "big, but not too big" numbers. If you want to learn more about large numbers, look in our archives at: http://mathforum.org/dr.math/faq/faq.large.numbers.html and http://mathforum.org/dr.math/tocs/large.elem.html -Doctor Daniel, The Math Forum Check out our web site! http://mathforum.org/dr.math/
Search the Dr. Math Library:
Ask Dr. MathTM
© 1994-2015 The Math Forum