Who can find an answer different than 7.

[Cliff Rogers]

Ooooooooooo........

[tea lady]

Ooooooooooo........

Hey! A different answer than 7.

[Wongo]

Why wouldn't Pi work?

Of course it works.

Pi / 2 is a endless decimal.

BUT

(Pi / 2) * 2 = Pi and that is algebra.

Ivan’s post shows it doesn't matter what x (including pi) is , you will get

x + 7 – x = 7

This question works for real numbers, imaginary numbers, rational numbers, irrational numbers, whole numbers or decimals.

Let us know when you've finished Wongo.

[Greg Ward]

A certain number consisting of sevens is divisible by 199.

Find the last 4 figures of the quotient without finding the whole quotient.....

In case you've got nothing better to do

Greg

[Wongo]

6823

Well I do have something else to do but these matters need to be dealt with first.

[jow104]

Wongo.would you please do that computation using chinese graphics in algerbra and display, so we know that your calculations have been properly construed.

[Wongo]

Let the last 4 digits be ABCD

So 7777…..77777 = …..ABCD * 199

Let just focus on the ABCD * 199 bit

ABCD * 199 =

A*100000 + B*10000 + C*1000 + D*100 + 0 + 0
+
9*A*10000 + 9*B*1000 + 9*C*100 + 9*D*10 + 0
+
9*A*1000 + 9*B*100 + 9*C*10 + 9*D
Now working from the last digit

D = 3 because 9 * 3 = 27 (carry 2 to the next digit)
C = 2 because 2 + 9 * 3 + 9 * 2 = 47 (carry 4 to the next digit)
B = 8 because 4 + 3 + 9 * 2 + 9 * 8 = 97 (carry 9 to the next digit)
A = 6 because 9 + 2 + 9 * 8 + 9 * 6 = 137 Bingo

Sorry this is the best I could do using a keyboard explain a maths problem.

Try 6823 * 199 and see what happens.

[jow104]

That should help you have a good nights sleep.

[Ashore]

A certain number consisting of sevens is divisible by 199. do you mean only the number 7 several times or series of the first 7 numbers or numbers that add up to seven indivudally, and any number is devisible by 199 eg 7 divided by 199 = 0.0351758 so are we talking whole numbers only like 4623

Rgds

[Greg Ward]

The number is a series of '7's, no decimals (although that may not affect the outcome in any event...... iI'm not sure)

Now Wongo has the answer for the last 4 digits..... how may '7's in the number itself? (I don't know the answer here and excel won't go past 777777777777777)

Greg

[Wongo]

Greg, unless you give me a piece of Maple for free, I wont continue this question.

[Greg Ward]

Wongo,
Doesn't the free maple you got yesterday count?

Tell you what. You want a challenge???

Whoever solves the (non-mathematical) answer to my quiz question regarding the use of the all 26 letters of the alphabet to make up 13 x 7 letter words from the 13 x 5 letter words listed deserves timber to the value of $100 (and that about covers your deador......)

Is that OK with you????
Regards

Greg

[Wongo]

Now Wongo has the answer for the last 4 digits..... how may '7's in the number itself? (I don't know the answer here and excel won't go past 777777777777777)

Greg

Greg, it will be extremely difficult to find out the answer. It will be a very long number. However, I think by using the Remainder Theorem very cleverly, the answer can be found. Still it will take a while.

So the answer exists but it is hard to work out.

[Greg Ward]

Yeah, I know, I though you may have a Cray or perhaps a crayfish that may be able to give the answer...

Let's not worry about it. It was a good question and well answered.... it fitted into the 'sevens' area well.

Regards
Greg

[Wongo]

Actually I do have the answer and it is

77777777777777777777777777777777777777777777777777777777777777

Now prove me wrong.


Wongo (100% in Higher Mathematics 1991 )



And the bit of free timber you gave me yesterday wasn't Maple.