hmm well first not that great with taking things down to a mathimatical reasoning also not sure how much to post being the first post don’t want to post the answer if i’m right.

I don’t think you need to use all 100001 7’s to get the answer.

Even though this is again arithmetic and so far I have never guessed the correct answer, I will stubbornly try once again and suggest: 166 repetitions of “777000″ followed by 77.(699300) (this is my notation for periodic fraction). If you don’t like the last part – this should be 77.7-(1/1430)…

So we can see that the cycle of 000777 repeats every 6 digits. (Leading 0s can be eliminated for the first time)
1001/6=166R5

So for the last 5 7s before the decimal :
7/1001=0R7
77/1001=0R77
777/1001=0R777
7777/1001=7R770
7707/1001=7R700
Decimal Point here
7000/1001=6R994
9940/1001=9R931
9310/1001=9R301
3010/1001=3R7
70/1001=0R70
700/1001=0R700

And then it cycles

So we could say the number representing the quotient is 777000 repeated 166 times followed by 77. followed by 699300 forever

So we can see that the cycle of 000777 repeats every 6 digits. (Leading 0s can be eliminated for the first time)
1001/6=166R5

So for the last 5 7s before the decimal :
7/1001=0R7
77/1001=0R77
777/1001=0R777
7777/1001=7R770
7707/1001=7R700
Decimal Point here
7000/1001=6R994
9940/1001=9R931
9310/1001=9R301
3010/1001=3R7
70/1001=0R70
700/1001=0R700

And then it cycles

So we could say the number representing the quotient is 777000 repeated 166 times followed by 77. followed by 699300 forever

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July 17th, 2010 at 9:40 pm

hmm well first not that great with taking things down to a mathimatical reasoning also not sure how much to post being the first post don’t want to post the answer if i’m right.

I don’t think you need to use all 100001 7’s to get the answer.

July 17th, 2010 at 9:50 pm

166 repitions of “777000″ followed by 77700.77777….

July 17th, 2010 at 9:53 pm

its 7 you idiots.. i know that and im in 7th grade

July 18th, 2010 at 3:13 am

Even though this is again arithmetic and so far I have never guessed the correct answer, I will stubbornly try once again and suggest: 166 repetitions of “777000″ followed by 77.(699300) (this is my notation for periodic fraction). If you don’t like the last part – this should be 77.7-(1/1430)…

July 18th, 2010 at 3:57 am

What is the quotient when a number made up of one-thousand-and-one sevens (i.e. 77777777……etc.) is divided by the number 1001?

try long division for an arbitrary long run of 7s /1001

7/1001=0R7

77/1001=0R77

777/1001=0R777

7777/1001=7R770

7707/1001=7R700

7007/1001=7R0

So we can see that the cycle of 000777 repeats every 6 digits. (Leading 0s can be eliminated for the first time)

1001/6=166R5

So for the last 5 7s before the decimal :

7/1001=0R7

77/1001=0R77

777/1001=0R777

7777/1001=7R770

7707/1001=7R700

Decimal Point here

7007/1001=7R0

followed by 000777…

So we could say the number representing the quotient is 777000 repeated 166 times followed by 77.7 followed by 000777 forever

Cam

July 18th, 2010 at 4:11 am

Goofed on the portion after the decimal. Erred in continuing to carry down 7s as opposed to 0s after the decimal. Now fixed.

What is the quotient when a number made up of one-thousand-and-one sevens (i.e. 77777777……etc.) is divided by the number 1001?

try long division for an arbitrary long run of 7s /1001

7/1001=0R7

77/1001=0R77

777/1001=0R777

7777/1001=7R770

7707/1001=7R700

7007/1001=7R0

So we can see that the cycle of 000777 repeats every 6 digits. (Leading 0s can be eliminated for the first time)

1001/6=166R5

So for the last 5 7s before the decimal :

7/1001=0R7

77/1001=0R77

777/1001=0R777

7777/1001=7R770

7707/1001=7R700

Decimal Point here

7000/1001=6R994

9940/1001=9R931

9310/1001=9R301

3010/1001=3R7

70/1001=0R70

700/1001=0R700

And then it cycles

So we could say the number representing the quotient is 777000 repeated 166 times followed by 77. followed by 699300 forever

Cam

July 18th, 2010 at 5:51 am

My correection post has dissapeared down the black hole….so here’s a repost

Goofed on the portion after the decimal. Erred in continuing to carry down 7s as opposed to 0s after the decimal. Now fixed.

What is the quotient when a number made up of one-thousand-and-one sevens (i.e. 77777777……etc.) is divided by the number 1001?

try long division for an arbitrary long run of 7s /1001

7/1001=0R7

77/1001=0R77

777/1001=0R777

7777/1001=7R770

7707/1001=7R700

7007/1001=7R0

So we can see that the cycle of 000777 repeats every 6 digits. (Leading 0s can be eliminated for the first time)

1001/6=166R5

So for the last 5 7s before the decimal :

7/1001=0R7

77/1001=0R77

777/1001=0R777

7777/1001=7R770

7707/1001=7R700

Decimal Point here

7000/1001=6R994

9940/1001=9R931

9310/1001=9R301

3010/1001=3R7

70/1001=0R70

700/1001=0R700

And then it cycles

So we could say the number representing the quotient is 777000 repeated 166 times followed by 77. followed by 699300 forever

Cam

July 18th, 2010 at 6:12 am

Hi Cam. You’re missing post is pending approval by Astran. It might have got stuck there as you signed on with Anoonymous (two o’s).

July 19th, 2010 at 3:55 am

@rick, unless you learn to think, you’ll probably stay in the 7th grade.

July 22nd, 2010 at 7:47 pm

its 7 i think

October 19th, 2010 at 1:27 pm

You’re funny, austyn

November 30th, 2010 at 9:48 pm

1000 od 7 is divisible by 11

1010 is divisible by 11

hence 7777…../1010 = 707070…

& 1001 of 7’s/1010= 707070…….36

December 7th, 2010 at 9:09 pm

Hi Rick! Im in 7th too.

It is much more complicated than that.

In 1st grade we learned how to add and how to check our work.

1001*7 is not equal to 777777777777777777777777777777777 etc.

Nor is 1001^7

December 23rd, 2010 at 10:52 am

Hahahaha that was a great comment spencer! I’m not being sarcastic! I actually laughed out loud =P