Moderator: Flannel Jesus
Motor Daddy wrote:In long division, if the remainder repeats some previous remainder's number, then the number in the answer in that decimal position repeats, which throws the long division into a repeating pattern. In Pi, 3.141... means that the 1 in the third decimal position repeated
Motor Daddy wrote:The belief is that the first 100 decimal places of Pi are:
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 ...
This can not be!
Pi = Circumference / Diameter
In long division, if the remainder repeats some previous remainder's number, then the number in the answer in that decimal position repeats, which throws the long division into a repeating pattern. In Pi, 3.141... means that the 1 in the third decimal position repeated, so the long division would be 3.141414141414...
You can see that the belief is that doesn't occur. That is IMPOSSIBLE!
For example, take the division of 2 divided by 7:
0.285714 285714 285714 285714...
You see how 2 divided by 7 has a 285714 pattern that repeats? That happens because the remainder repeats, so it throws it into a repeating answer of 285714.
7 goes into 2.0 .2 times (1.4) with a remainder of .6 (answer so far .2)
7 goes into .60 .08 times (.56) with a remainder of .04 (answer so far .28)
7 goes into .040 .005 times (.035) with a remainder of .005 (answer so far .285)
7 goes into .0050 .0007 times (.0049) with a remainder of .0001 (answer so far .2857)
7 goes into .00010 .00001 times (.00007) with a remainder of .00003 (answer so far .28571)
7 goes into .000030 .000004 times (.000028) with a remainder of .000002 (answer so far .285714)
So .2 + .08 + .005 + .0007 + .00001 + .000004 = .285714 with a remainder of .000002
Guess what the next number is gonna be?
We started with 7 going into 2.0
We now have a remainder of .000002
Now it is stuck in a loop of repeating remainders (in different decimal positions) of:
6, 4, 5, 1, 3, 2 - 6, 4, 5, 1, 3, 2 - 6, 4, 5, 1, 3, 2 .....
YOU CAN'T BREAK OUT OF THAT LOOP, so the answer will repeat .285714 285714 285714 285714 .........
The division CAN'T be completed! The remainder is never divided equally for the division to end, so it will continue INFINITELY!
It is IMPOSSIBLE to have more than 10 different remainders (0,1,2,3,4,5,6,7,8,9), so at the absolute MOST, the repeating pattern would start after 10 decimal places. It would not make it past 3.141 without repeating, since the 3.141 would have the same remainder and repeat 3.1414141414.....
Take that and put it in your pipe and smoke it!
Sculptor wrote:Hint: The universe is not digital but analogue.
A circle is a polygon whose sides are so infinite they are one. And the consequence of this is that you cannot express this wholly.
Motor Daddy wrote:Sculptor wrote:Hint: The universe is not digital but analogue.
A circle is a polygon whose sides are so infinite they are one. And the consequence of this is that you cannot express this wholly.
A circle doesn't have "sides", and "infinite" means continuous not "one."and this is exactly why you are clueless about the subject.
Just admit it, you can not finish a division if the remainder is never divided equally!
It's not relevant. since the ratio is reality not arbitrary numbers.
12 eggs can be divided into 3 parts of 4 eggs, which is exactly 12 eggs because 3x4=12.
1 Dozen eggs can't be equally divided into 3 parts, because 3x.333...=.999..., which is LESS THAN 1.0.
:headslap
You can physically divide 12 eggs into 3 equal parts, but you can't divide 1 dozen into 3 equal parts!
And here is the exact moment his brain departed from what little mind he had.
Pffftzz!!!
So math does not describe reality correctly! Until you fix math, stop using it to describe physics problems, because physics is about real world physical phenomena.
Sculptor wrote:But maths is all we have.
It is IMPOSSIBLE to have more than 10 different remainders (0,1,2,3,4,5,6,7,8,9), so at the absolute MOST, the repeating pattern would start after 10 decimal places.
Motor Daddy wrote:The belief is that the first 100 decimal places of Pi are:
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 ...
This can not be!
Pi = Circumference / Diameter
In long division, if the remainder repeats some previous remainder's number, then the number in the answer in that decimal position repeats, which throws the long division into a repeating pattern. In Pi, 3.141... means that the 1 in the third decimal position repeated, so the long division would be 3.141414141414...
You can see that the belief is that doesn't occur. That is IMPOSSIBLE!
For example, take the division of 2 divided by 7:
0.285714 285714 285714 285714...
You see how 2 divided by 7 has a 285714 pattern that repeats? That happens because the remainder repeats, so it throws it into a repeating answer of 285714.
7 goes into 2.0 .2 times (1.4) with a remainder of .6 (answer so far .2)
7 goes into .60 .08 times (.56) with a remainder of .04 (answer so far .28)
7 goes into .040 .005 times (.035) with a remainder of .005 (answer so far .285)
7 goes into .0050 .0007 times (.0049) with a remainder of .0001 (answer so far .2857)
7 goes into .00010 .00001 times (.00007) with a remainder of .00003 (answer so far .28571)
7 goes into .000030 .000004 times (.000028) with a remainder of .000002 (answer so far .285714)
So .2 + .08 + .005 + .0007 + .00001 + .000004 = .285714 with a remainder of .000002
Guess what the next number is gonna be?
We started with 7 going into 2.0
We now have a remainder of .000002
Now it is stuck in a loop of repeating remainders (in different decimal positions) of:
6, 4, 5, 1, 3, 2 - 6, 4, 5, 1, 3, 2 - 6, 4, 5, 1, 3, 2 .....
YOU CAN'T BREAK OUT OF THAT LOOP, so the answer will repeat .285714 285714 285714 285714 .........
The division CAN'T be completed! The remainder is never divided equally for the division to end, so it will continue INFINITELY!
It is IMPOSSIBLE to have more than 10 different remainders (0,1,2,3,4,5,6,7,8,9), so at the absolute MOST, the repeating pattern would start after 10 decimal places. It would not make it past 3.141 without repeating, since the 3.141 would have the same remainder and repeat 3.1414141414.....
Take that and put it in your pipe and smoke it!
Flannel Jesus wrote:Motor Daddy wrote:In long division, if the remainder repeats some previous remainder's number, then the number in the answer in that decimal position repeats, which throws the long division into a repeating pattern. In Pi, 3.141... means that the 1 in the third decimal position repeated
That's not the remainder.
Motor Daddy wrote:You can physically divide 12 eggs into 3 equal parts, but you can't divide 1 dozen into 3 equal parts!
Flannel Jesus wrote:After my first reading, I think I underestimated how much you're misunderstanding remainders.It is IMPOSSIBLE to have more than 10 different remainders (0,1,2,3,4,5,6,7,8,9), so at the absolute MOST, the repeating pattern would start after 10 decimal places.
What about 1/31? What do you think that looks like?
obsrvr524 wrote:"Dozen" is merely another word for "12" - changing the word doesn't change the reality.
obsrvr524 wrote:When we do long division and get a remainder - the remainder is the entire rest of the string of potential digits - not merely the first single digit we encounter (the "partial remainder").
Motor Daddy wrote:Flannel Jesus wrote:After my first reading, I think I underestimated how much you're misunderstanding remainders.It is IMPOSSIBLE to have more than 10 different remainders (0,1,2,3,4,5,6,7,8,9), so at the absolute MOST, the repeating pattern would start after 10 decimal places.
What about 1/31? What do you think that looks like?
The remainders will still repeat at some point, it's just that there are now 100 possible remainders with 1/31. 1/311 will have 1,000 possible remainders.
1 / 31 = 0.032258064516129 032258064516129... The remainder started repeating after 15 decimal places. Once the remainder repeats it is stuck in an infinite loop of that sequence of remainders repeating, just in different decimal places.
The division of 1 divided by 31 can't be completed because the remainder is never divided equally, so it will continue that repeating pattern of 032258064516129 infinitely!
2/7 has 1 digit, so it has 10 possible remainders.
2/77 has 2 digits, so it has 100 possible remainders.
2/777 has 3 digits, so it has 1,000 possible remainders.
Flannel Jesus wrote:That sounds like you just made up a completely arbitrary rule, and it also sounds like you're not really consistent with what you mean by 'remainder'. At first you were talking about 'remainder' like it's a single number in the decimals. "In Pi, 3.141... means that the 1 in the third decimal position repeated, so the long division would be 3.141414141414..." But that's not how you're treating 1/31 now.
Motor Daddy wrote:Granted, I shouldn't have used the example "3.141..." because that has more than 10 remainders, so that was my mistake.
Flannel Jesus wrote:Motor Daddy wrote:Granted, I shouldn't have used the example "3.141..." because that has more than 10 remainders, so that was my mistake.
The problem isn't the "number of remainders", the problem is how you're swapping between what you mean by the word remainder.
In your illustration of 2 / 7, you actually use the term 'remainder' correctly. The decimal expansion is ".285714", but here you DON'T make the confusion that 2, 8, 5, 7, 1 or 4 are "the remainder". You realize that "remainder" and "the numbers in the decimal" are two different concepts.
But in "3.141", you introduce that confusion for some reason. You call 1, 4 and 1 the "remainders" for pi.
It's this confusion I'm trying to clean up. The "remainder" is NOT the number in the decimal representation. 2, 8, 5, 7 etc aren't the remainders in 2/7, and for exactly the same reason, 1, 4, 1, 5 etc aren't the remainders in pi.
Flannel Jesus wrote:It's this confusion I'm trying to clean up. The "remainder" is NOT the number in the decimal representation. 2, 8, 5, 7 etc aren't the remainders in 2/7, and for exactly the same reason, 1, 4, 1, 5 etc aren't the remainders in pi.
Motor Daddy wrote:obsrvr524 wrote:"Dozen" is merely another word for "12" - changing the word doesn't change the reality.
Dozen is a unit of measure, just like Inch is a unit of measure, and Foot is a unit of measure.
Again, you can divide 12 equally by 3, which is 4, and checking your work 3x4=12.
You CAN'T divide 1.0 Dozen by 3, because the remainder is never equally divided, so you end up with .333... x 3 = .999... which is LESS THAN 1.0 Dozen.
This goes to show you that 1/3 of 12 eggs is EXACTLY 4 eggs, but 1/3 of 1.0 Dozen can't be done!
Flannel Jesus wrote:Yes, I said you used the word "remainder" correctly when you were dividing by 7, and not when you were talking about the decimals in pi.
MagsJ wrote:A dozen is just slang, for 12.. why you hatin on a dozen?
Flannel Jesus wrote:The remainder of what? What two numbers are you dividing?
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