[Poll] Do you remember how to do long division and multiplication?

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jagec

Lifer
Apr 30, 2004
24,442
6
81
Originally posted by: RossGr
Originally posted by: jagec
Originally posted by: RossGr
Once you start adding zeros in the long division problem there are only 23 possible remainders (0 - 22) so it is not possible to go more then 23 digits without repeating or terminating.

I don't think I understand what you're saying. Are you implying that doing long division by hand has a built-in maximum of 23 sig figs? How come? Or are you talking about calculators?

I am speaking about the the given problem, 8945/23. In ANY long division problem the denominator determines the max number of digits posssible before the quotent terminates or repeats. This is an application of what is known as the Pigeonhole property.
edit:
Actually Pigeonhole Principle on wiki.

I see...interesting. Hmm, what if you divide by an irrational number? Does this only hold true for integers, or for rational number, or for all numbers?
 

RossGr

Diamond Member
Jan 11, 2000
3,383
1
0
Originally posted by: jagec
Originally posted by: RossGr
Originally posted by: jagec
Originally posted by: RossGr
Once you start adding zeros in the long division problem there are only 23 possible remainders (0 - 22) so it is not possible to go more then 23 digits without repeating or terminating.

I don't think I understand what you're saying. Are you implying that doing long division by hand has a built-in maximum of 23 sig figs? How come? Or are you talking about calculators?

I am speaking about the the given problem, 8945/23. In ANY long division problem the denominator determines the max number of digits posssible before the quotent terminates or repeats. This is an application of what is known as the Pigeonhole property.
edit:
Actually Pigeonhole Principle on wiki.

I see...interesting. Hmm, what if you divide by an irrational number? Does this only hold true for integers, or for rational number, or for all numbers?

This is on the integers. But, to actually do long division on a irrational number you have to truncate it, effectly tranforming to a problem on the integers.
 

divinemartyr

Platinum Member
Oct 18, 2000
2,439
1
71
I am 29 and can do both without any problems. I haven't done either in years, but I guess it's just never left my brain.
 

SsupernovaE

Golden Member
Dec 12, 2006
1,128
0
76
I can do both quite easily in my head. Being unable to write with my hands has required me to adapt.
 

WHAMPOM

Diamond Member
Feb 28, 2006
7,628
183
106
I am kinda fuzzy on multiplying and dividing fractions. Just don't remember which to invert and multiply anymore. 1/2X1/4=1/8 I know but division?
 

0roo0roo

No Lifer
Sep 21, 2002
64,795
84
91
i remember trying it a while back because i suddenly got the thought that i wasn't sure i knew anymore:p
i botched the first two attempts before i figured it out.
not quite like riding a bike:p
 

Flash1969

Golden Member
May 11, 2001
1,784
7
81
Originally posted by: jman19
Originally posted by: djheater
Originally posted by: sdifox
who can't do that???

I'll be the first to admit that I couldn't.

I'm 32, only took up to geometry in high school.
I've never needed to know how to do long division or large number multiplication in my head and be exact. I've always been able to consult a tool or resource to find the answers I needed.

Our culture tends to feel that math fluency is a primary indicator of intelligence and potential success, because of this arts, language, and social sciences are often underfunded, which is unfortunate.

High school? :confused:

Don't you learn long division in elementary school?

This is pathetic...

Who gives a shit? It is rarely needed in everyday life. Useless "knowledge" FTL.

 

Tiamat

Lifer
Nov 25, 2003
14,068
5
71
yup, use it almost all the time. Comes into handy for solving series of differential equations etc.
 

Epic Fail

Diamond Member
May 10, 2005
6,252
2
0
Originally posted by: RossGr
Once you start adding zeros in the long division problem there are only 23 possible remainders (0 - 22) so it is not possible to go more then 23 digits without repeating or terminating.

the correct answer is 388.91304347826086960869...

starting after 15 digits, the last 5 digits repeat. Most calculators will not show 15 digits good ones calculate more then they show. Few, if any will give the correct answer to a problem like this one.

The repeating has to be for all the digits, it can't start that late.

388.(9130434782608695652173)(9130434782608695652173)(9130434782608695652173)....
 

RossGr

Diamond Member
Jan 11, 2000
3,383
1
0
Originally posted by: yamadakun
Originally posted by: RossGr
Once you start adding zeros in the long division problem there are only 23 possible remainders (0 - 22) so it is not possible to go more then 23 digits without repeating or terminating.

the correct answer is 388.91304347826086960869...

starting after 15 digits, the last 5 digits repeat. Most calculators will not show 15 digits good ones calculate more then they show. Few, if any will give the correct answer to a problem like this one.

The repeating has to be for all the digits, it can't start that late.

388.(9130434782608695652173)(9130434782608695652173)(9130434782608695652173)....

Really???

Did you actually DO the problem? Just why can't it start that "late".

Justify your response please.
BTW, I did the division by hand, the number I gave is correct, yours is not.
 

jagec

Lifer
Apr 30, 2004
24,442
6
81
Originally posted by: yamadakun
The repeating has to be for all the digits, it can't start that late.

388.(9130434782608695652173)(9130434782608695652173)(9130434782608695652173)....

There's nothing magical about a decimal place.

Even if your answer is correct, we could move the decimal place on the numerator over by one and get

38.8(9130434782608695652173)(9130434782608695652173)(9130434782608695652173)....
or 3.88(9130434782608695652173)(9130434782608695652173)(9130434782608695652173)....

or 388(913043.4782608695652173)(9130434782608695652173)(9130434782608695652173)....

Therefore making it "start" repeating later or earlier.
 

jman19

Lifer
Nov 3, 2000
11,225
664
126
Originally posted by: Flash1969
Originally posted by: jman19
Originally posted by: djheater
Originally posted by: sdifox
who can't do that???

I'll be the first to admit that I couldn't.

I'm 32, only took up to geometry in high school.
I've never needed to know how to do long division or large number multiplication in my head and be exact. I've always been able to consult a tool or resource to find the answers I needed.

Our culture tends to feel that math fluency is a primary indicator of intelligence and potential success, because of this arts, language, and social sciences are often underfunded, which is unfortunate.

High school? :confused:

Don't you learn long division in elementary school?

This is pathetic...

Who gives a shit? It is rarely needed in everyday life. Useless "knowledge" FTL.

Yeah, division is really useless... :confused:
 

jjones

Lifer
Oct 9, 2001
15,424
2
0
Originally posted by: jman19
Anyone who can't do either of long division or multiplication is a disgrace... how the hell did you get past elementary school??

 

paulxcook

Diamond Member
May 1, 2005
4,277
1
0
I'm 23, able to do both, though I got bored with the long division after about the 8th decimal place. I checked with a calculator and I had it right up to that point, so I stopped.
 

jman19

Lifer
Nov 3, 2000
11,225
664
126
Originally posted by: Flash1969

Originally posted by: jman19
Yeah, division is really useless... :confused:

Yes, being able to do it by hand is. Useless to a majority of people.

What if you don't have a calculator or computer near you? This is some really basic crap that you (should have) used for many years in your life just to get through school...

This country is really headed down the shitter :(
 

imported_yovonbishop

Golden Member
Apr 19, 2004
1,091
0
0
I got them. I'm 20, been out of high school for 4 years and just took 3.5 years of math in college. Yep.

I imagine if I hadn't been using it in college, I probably would struggle though.
 

secretanchitman

Diamond Member
Apr 11, 2001
9,353
23
91
im 19 and i can do both long division and multiplication manually.

math was (still is) seriously one of my strong points in high school...luckily, i still retained it during college.
 

Flash1969

Golden Member
May 11, 2001
1,784
7
81
Originally posted by: jman19
Originally posted by: Flash1969

Originally posted by: jman19
Yeah, division is really useless... :confused:

Yes, being able to do it by hand is. Useless to a majority of people.

What if you don't have a calculator or computer near you? This is some really basic crap that you (should have) used for many years in your life just to get through school...

This country is really headed down the shitter :(


Lol, If you think people not being able to do long division by hand is contributing to this country "heading down the shitter", you are completely out of touch with reality.

Somehow I'm not too worried about running into a "long division crysis".
 

imported_yovonbishop

Golden Member
Apr 19, 2004
1,091
0
0
Originally posted by: Electric Amish
No problem @ 35.

Now, if you start asking about differential equations and integration, that's where my memory doesn't serve me as well. ;)

I miss differential equations so much. I actually ENJOYED that class in college.