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August 29th, 2017, 09:52 AM  #1 
Senior Member Joined: Aug 2014 From: Mars Posts: 101 Thanks: 9  Scientific notation?
I was told that the answer, 2.58998811E10 is in scientific notation. But when I looked at three different explanations, I saw no "E" listed. What does that E mean, and what is this answer expanded out? What do I type into a search engine to find tutorials? 
August 29th, 2017, 10:02 AM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 1,939 Thanks: 1006 
E10 is the same as $\times 10^{10}$ so $2.58998811\text E10 = 2.58998811 \times 10^{10}$ at least that's how we do it here on Earth. 
August 29th, 2017, 12:21 PM  #3 
Senior Member Joined: Jun 2015 From: England Posts: 823 Thanks: 243 
You don't need a search engine. The E notation comes from computing and was developed so that you could type in a number without superscript (powers). This was originally used in programming languages but then introduced into things like spreadsheets. Try typing 25E10 into a cell in Excel and see what happens. Then chose 'format cells' and play with the option box. 
September 1st, 2017, 02:47 AM  #4 
Senior Member Joined: Aug 2014 From: Mars Posts: 101 Thanks: 9 
So I have a teacher who lists all the answers as fractions and I'm not sure how to do the conversions. I input the fractions into the calculator, but none of them come back with the power. But this is confusing because............ 2.155237795E11 is not a large number.... because 2.16^11=4775.197 ... Why not just round? 
September 1st, 2017, 03:00 AM  #5 
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 878 Thanks: 60 Math Focus: सामान्य गणित 
It's used in calculators also. Last edited by skipjack; September 1st, 2017 at 04:33 AM. 
September 1st, 2017, 05:03 AM  #6 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,807 Thanks: 1045 Math Focus: Elementary mathematics and beyond 
2.155237795E11 is actually 2.155237795 x 10$^{11}$.

September 1st, 2017, 06:18 AM  #7 
Global Moderator Joined: Dec 2006 Posts: 18,957 Thanks: 1604  It's scientific enotation using E (in the old days, computers charged more for printing in lower case). Scientific notation would be more like 6.276805×10²¹ (which those mean old computers couldn't print at all).

September 1st, 2017, 06:35 AM  #8  
Senior Member Joined: Jun 2015 From: England Posts: 823 Thanks: 243  Quote:
2.155237795E11 is not $\displaystyle {\left( {{\rm{2}}{\rm{.155237795E11}}} \right)^{11}}$ it is 215,523,779,500 Please say if you do not understand this, it is very important.  
September 3rd, 2017, 02:38 PM  #9 
Member Joined: Jan 2017 From: California Posts: 80 Thanks: 8  
September 5th, 2017, 11:14 AM  #10 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,163 Thanks: 867 
Of course we Martians use base 12 so "E10" would be $\displaystyle 12^{10}$.


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