does anyone know a division equation to figure out pi? and if it dosent work i will know cuz i have pi memorized 47 numbers after the decimal so dont even bother with 22/7
2006-07-05 08:01:04 · 17 answers · asked by airhead15274 1 in Science & Mathematics ➔ Mathematics
melody u have 10 right but im looking 4 even more sorry
2006-07-05 08:08:57 · update #1
~Now why would anyone want to memorize pi to 47 places? If you've got that much time on your hands:
a. continue dividing, or
b. accept the fact that has been accepted for milenia: ie, there is not exact final solution to pi. Duh.
c. The "equation" for any division problem is numerator (with pi, 22) over denominator (with pi, 7)
2006-07-05 08:08:55 · answer #1 · answered by Oscar Himpflewitz 7 · 0⤊ 1⤋
The best fractional representation of pi with numbers less than 1000 is 355/113. This is only good to six decimal places, but the next better fraction involves much larger numbers: 86598/27565, which only gives you another two decimal places of accuracy. If you have memorized 47 digits, you should note that the best fraction representing that is N/(10^47) where N is the number sequence WITHOUT the decimal point. For example, suppose you knew only seven decimal places, you would set the fraction as 31415926/10000000.
You can calculate the best fraction to any level by converting pi to several places to a continued fraction, then multiplying out the terms evaluating the continued fraction dropping the last term. The continued fraction form of pi is 3 + 1/(7 + 1/(15 + 1/(1 + 1/(243 +.. Evaluating up to the term with 7 in it gives 22/7, to the term with 15 gives 333/106; to the term with 1 in it gives 355/113, then to the term with 243 in it gives 86598/27565. The numbers in the numerator and denominator grow fastest with larger terms, so you can know in advance that 355/113 will be the best estimate with small numbers.
The conversion into chain fraction form is easy: terms are given by the Euclid Algorithm (repeated division).
In summary, the best fractional representations of pi start with:
3/1. Refined a bit, 22/7 is the next fraction which is better. Refining further, 333/106 is the next fraction better; then 355/113; then a long gap before we come to the next fraction that is better: 86598 / 27565 and so on. You don't gain MUCH going beyond 355/113, and when you do, the numbers in the fraction get hideously large quite quickly.
2006-07-12 04:54:01 · answer #2 · answered by Anonymous · 0⤊ 0⤋
How about 314159265358979323846364338/100000000000000000000000000
Or something like that. The point of an irrational number is that it can't be expressed as a fraction. If you want a fraction that is accurate to a certain number of decimal places, then take pi out to that number of places, lose the decimal point, and divide by 10^(whatever makes sense).
2006-07-05 15:29:24 · answer #3 · answered by mathsmart 4 · 0⤊ 0⤋
Pi is an irrational number, so there is no division involving integers that will equal pi exactly. You can construct as accurate an approximation as you want, though. The first link shows you how.
If you're talking about a method to calculate pi, they all involve some form of infinite series, which you can take to whatever level of precision you need. The second link shows several methods.
2006-07-05 15:38:40 · answer #4 · answered by injanier 7 · 0⤊ 0⤋
Take your pi and multiply it by 7. Then make the fraction the number(pi*7) divided by 7. Why use 7, why no put pi squared divided by pi. Are you looking for a whole number?
2006-07-05 15:11:49 · answer #5 · answered by Ned 3 · 0⤊ 0⤋
There is no equation for pi. pi is what is called an irrational number and by definition cannot be expressed as a quoitient of two intergers. Also pi is classifed as an infinite decimal i.e. the decimal part goes on infintly.
2006-07-05 15:53:09 · answer #6 · answered by hackmaster_sk 3 · 1⤊ 0⤋
You only memorized pi to 47 numbers? If you are on a date, girls won't be impressed unless you can recite pi to at least 100 numbers.
2006-07-05 16:19:26 · answer #7 · answered by PC_Load_Letter 4 · 0⤊ 0⤋
There is no fraction that is exactly equal to pi. That's what it means to be irrational and pi is even more than that. The square root of 2 is irrational, but pi doesn't even satisfy any polynomial equation with integer coefficients.
2006-07-05 16:30:19 · answer #8 · answered by mathematician 7 · 0⤊ 0⤋
22/7 is the closest anyone has ever come up with for the value of pi in fraction for.
If you take pi and divide it by (22/7), you will get .9995976625
2006-07-05 16:14:35 · answer #9 · answered by Sherman81 6 · 0⤊ 0⤋
(pi/2) = (2/1) (2/3) (4/3) (4/5) (6/5) (6/7) (8/7) (8/9) (10/9) (10/11) ...
It might not be exactly what you're looking for... but hope this helps!
2006-07-05 15:17:39 · answer #10 · answered by tokyo 2 · 0⤊ 0⤋