Thread Tools
Old 11-21-2002, 03:39 PM
Guest
Join Date: Aug 2000
Location: near Chicago, IL
Posts: 577
The decimal point on my calculator and letter e

I was doing in long division dividing 9 by 8 and that by 7 and that by 6 and so forth the other day and I got the result of .0002232142857 (with the last six numbers repeating over and over as a set due to the number 7 being in there). But when I did this same 9 divided by 8 divided by 7 and so on on my computer calculator, I got the same number EXCEPT the decimal point came before the first two 2's, the 142857 was repeated unnecessarily 4 times, followed by the incorrect
142856e-4, I mean the 6 is probably a rounding, and then that e-4. But I don't feel that this e is the same as when the e occurs after awhile in large calculations and means something to do with the mathematical number e (log). I'm guessing that the 4 means that the decimal point must be moved four places to the left of where the calculator says it is, which would be correct. So am I to suppose that when a number ends in e-something, the rule is to ignore the number before it as a rounding, and move the decimal to the left by as many places as the number after the e says? And a much bigger question: why is there nothing under HELP in this computer calculator that explains this? What if some naive person were trying to use it?
signed: I Hate Rounding and Misleading Calculators
Old 11-21-2002, 03:46 PM
Guest
Join Date: Mar 2000
Location: Taranna, Awnterrio
Posts: 887
Who said a naive person isn't trying to use it?

Just kidding. The e stands for exponent, and ~~~e-4 means ~~~*10^(-4), i.e. whatever you have, times ten to the negative four, i.e. whatever you have divided by 1000.

The incorrect final digit is just a round-off error.
Old 11-21-2002, 03:46 PM
Guest
Join Date: Mar 1999
Location: ATL
Posts: 3,136
In this case, "e" means "exponential notation", a way of expressing large and small numbers.

For example, the number 1,286,000,000,000 is the same as 1.286 x 1012. In exponential notation this is 1.286E12

Small numbers work the same way. .000000000001286 is 1.286 x 10-12 or 1.286E-12
Old 11-21-2002, 03:59 PM
Charter Member
Join Date: Nov 2002
Location: England
Posts: 212
I presume that the calculator help assumed you are familiar with mathematical notation.

The calculator is giving the number is what is called standard notation, which gives the a number between 1 and 10, multiplied by a power of ten, where the power is indicated by the number after the e. In this case. it is 10 to the power of -4, which is 1/10^4 = 1/10000. So, this ends up meaning you move the decimal point the the left 4 places, as you say.

This has nothing to do with the e button on the calculator, by the way, or at least not directly.

As for rounding, it works in the normal way, with the last digit being rounded up if the previous one is 5 or more, or down if less than 5. It's just that the original number is multiplied (or divided), by 10 so many times to make it between 1 an and 10, before the rounding takes place (and then the appropriate power of 10 is included to get it back to what the number was.

Other people seem to have posted other stuff before me, but this might still be useful.
Old 11-21-2002, 05:27 PM
Guest
Join Date: Aug 2002
Location: Caracas, Venezuela
Posts: 135
The rounding in the calculators mey not be correct sometimes, if you look carefully this is an equalty:
log(2^(1/2))=(1/2)log2, but if you solve each one separately, you obtain different results. This is because the calculator doesn't do rounding eccurately. I believe that the number you obtained (142856) isn't correct, because it should have been 142857.

By the way (interesting note..., well... at least for me), this number has some properties like:
142857 x 2 = 285714 (the same number rearranged)
142857 x 3 = 428571
142857 x 4 = 571428
142857 x 5 = 714285
142857 x 6 = 857142
142857 x 7 = 999999

and it continues like that.... you should try some more...

if you'd like better explanation, or are interested in some other stuff like that, i recommend a book from Malba Tahan. i do not know what the exact title is, but is is something like "the man that calculated"
__________________
Zootopian
Old 11-21-2002, 07:30 PM
Guest
Join Date: Dec 1999
Location: Spokane, WA, USA
Posts: 7,213
On some calculators, you may encounter a decimal point and the letter E in another situation: when the result of some operation is too big to be displayed.

For example, on an 8-digit calculator, multiplying 12,345,678 * 10 might show the result "1.234567E". Here the E means Error, and the decimal point shows where the number would be cut off by the left edge of the display--since the actual result is 1,234,567,890, only the '23456780' would fit on the 8-digit display, and the '1' would be pushed off the left side.
Old 11-21-2002, 07:31 PM
Guest
Join Date: Dec 1999
Location: Spokane, WA, USA
Posts: 7,213
Oops. Change "1,234,567,890" to "123,456,780" and my post will make sense.
Thread Tools

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is Off
HTML code is Off

Forum Jump


All times are GMT -5. The time now is 06:02 AM.

Send questions for Cecil Adams to: [email protected]

Send comments about this website to:

Terms of Use / Privacy Policy

Advertise on the Straight Dope!
(Your direct line to thousands of the smartest, hippest people on the planet, plus a few total dipsticks.)

Publishers - interested in subscribing to the Straight Dope?
Write to: [email protected].

Copyright 2018 STM Reader, LLC.

Copyright © 2017
Best Topics: john lennon concerts emma maersk propeller motorolla dch3416 ff12 vanish satilite descramblers holes in brick arrow emoticon frozen toothpaste spanish duck mckinsey background check usenet pictures sated vs satiated turpentine abortion parking lights definition region 99 courtroom typewriter hansons natural soda margaret peg animal nipple 95 pathfinder finest suture material unjust law example julia roberts tinkerbell fosters drinks dragonskin vest stick magazine chinny chin chin mixing tequila dismissal 3.5 modem baud rates did helen hunt have plastic surgery words that are not spelled like they sound the following is a marxist proposition: how to sterilize tweezers 97 toyota camry starter why does the same temperature feel different in summer and winter right of way when merging ally ally in come free midas brake job prices short sleeve dress shirt with tie can you get high from catnip how long does it usually take for a job to call for an interview can you put drano in the toilet what aisle are french fried onions in walmart no hair on legs cleaned a vcr tape white residue on glasses frames coffee grounds to eliminate odors off the schneid origin what kind of spider was charlotte in charlotte's web i'm a man you don't meet every day polish scratches out of polycarbonate lenses 6 bits a dollar car dealers name ideas is super glue non toxic sudafed makes you drowsy why is my period late when im on birth control how long does flomax take to work how to cut frozen ground beef how much weight can you lose with diuretics what do you call a 3d rectangle