More Eggs Eggs Eggs.... and no '7's

[Greg Ward]

Remember the eggs?

With what we had purchased, plus some we had from the previous purchases, we had to get RID OF THEM.

So we took them the the markets at Paddington.

We laid them in rows on a table with the same number in each row.

One man, took away from them 10 times as many eggs as there were rows.

Then his wife (obviously an egg loving family) took away ten times as many eggs as there were originally in each row.

Only one egg remained.... so we gave that away.

How many were there originally on the table?

Greg

[ss_11000]

let # of rows be: x
let the # of eggs in a row be: y
let the total number of eggs be: z

z = 10x + 10y + 1

does that work?

[Greg Ward]

You need an equation for x and y.

'z' complicates and is not needed

Greg

[Wood Butcher]

Stirlo, try

x*y = 10x + 10y +1

[ss_11000]

i was close. mine still works, but as greg says makes it more complicated.

[Greg Ward]

x, y are numbers of rows and eggs in a row

y(x-10)=10x+1

y=10+ 101/(x-10)

i.e x = 11 or 111 in positive integers

answer is 1221 eggs (or 11 rows of 111 or 111 rows of 11)

(101 is a prime number and therefore can't be divided by any number other than 1 and itself)

[wheelinround]

(101 is a prime number and therefore can't be divided by any number other than 1 and itself)

A False statement as 101 can be divided by any number you want to divide it with divided by 2 gives you 50.5 or 50 1/2

divided by 4 gives you 25.25 or 25 1/4

by 7 gives you 14.428571428571428571428571428571

But who'd want half or quarter of an egg

No lets say you have a recipe that calls for dividing 101 eggs this can be taken to mean equal amounts or separating the yolks.

They said the Atom couldn't be split also

[Greg Ward]

Hmmmmm..... depends on whether you want a fraction in your life.

........It would have been a messy day with you at Paddington selling all the eggs

Regards
Greg

[Wongo]

A False statement as 101 can be divided by any number you want to divide it with divided by 2 gives you 50.5 or 50 1/2


A False statement:doh:


:D

[wheelinround]

Not really Greg hard boil those that have to be divided easy as cutting pie then you could even pickle some or turn them into deviled eggs

[Wongo]

Well unless you can write your own book about prime numbers and the divisibility rules, what you said was a False statement.:rolleyes:


:D:D:D

[Greg Ward]

Wongo.... You're right, many numbers cannot be divided or written as a fraction, Pi is another example; in fact as you know there is an infinite number of indivisables.

Wheelin around is however very involved in cooking at the moment and at the moment is making a mess at Paddington with his pickled and boiled eggs.

Are you keeping shots of the new tables to show up as you progress??
Regards

[wheelinround]

The statement is "101 is a prime number and therefore can't be divided by any number other than 1 and itself"

It can be divided just not as a whole number yet even a fraction gives you a whole piece which can once again be divided

I know I suck at maths ( due to missing information) but :doh: incomplete statements is what confuses those who struggle with maths.

[Greg Ward]

Sorery for my imprecise english.....

The problem is you stated that '101 could be divided by any number', which is not correct. It may be able to be halved but try dividing by 7 or 11 or 13 or etc.
If you can't cut the eggs into a fraction, it just becomes more and more messy as you move down to the molecular level.

Regards
Greg

[wheelinround]

Thanks Greg you have helped me find a great Maths page http://www.aaamath.com/div.html#topic1

So what your saying is that if you have 101 it can not be divided other than by itself or 1

ie:- an engineer has a bridge to design over a distance of 101 meters it has to have a centre support, but due to maths definitions he can't be divide it by anything else other than 101 or 1.

[Wongo]

wheelinround, what on earth are you talking about??:doh:

[Wongo]

You can divide 101 by 2, no worries, you get 50.5. Even Stirlo can do that. :D

BUT

It is not the point of this conversation. 101 is not divisible by any number other than 1 and itself, hence it is a prime number. Are we cool here?:cool:


:U

[wheelinround]

Ok so we have double English here it can and it can't make up your mind

funny even I can divide 101 by any other number that makes it divisible does it not ?

no wonder :doh:

[Wongo]

Cheers Wheelie :2tsup:

[silentC]

I think if you add the word 'evenly' before divisible, it might make more sense to people who move in the untidy world outside of mathematics :)

[silentC]

In mathematics (http://en.wikipedia.org/wiki/Mathematics), a divisor of an integer (http://en.wikipedia.org/wiki/Integer) n, also called a factor of n, is an integer which evenly divides n without leaving a remainder (http://en.wikipedia.org/wiki/Remainder).



When you state that a number is divisible by another number, it is implied that there is no remainder. We are talking integer mathematics, not decimals or fractions.

[wheelinround]

Ok the terms used are confusing but then again so is English

LOML an A+ loves maths and she came up with what should be the correct not a lot of dribble explanation.

"The definition of a prime number = that which can only be divided by a WHOLE number itself and one to give a WHOLE number answer" :2tsup:

Not knocking what you have put SC but generally its an assumption that needs to be defined clearly as does many other maths terms.

Like when working out Algebra missing steps when first being taught can lead to trouble

I learnt was taught to hate mathematics beyond primary school basic's for a number of reasons. Algebra especially and calculus :C:C something I regret and have tried to rectify a number of times maybe one day but I over the years have learnt the question can and often does have many answers.

Greg not to worry Pado is a mess anyway have walked and driven many back streets to see what many don't see, regardless of my eggspert tips on what to do with eggs.

[ss_11000]

You can divide 101 by 2, no worries, you get 50.5. Even Stirlo can do that. :D

:U

the Same Stirlo who got a band 6 in maths and science and computers in the School Cert:?:D:2tsup:

[wheelinround]

and you turn a mean pen to Stirlo

[Wongo]

Tell us what is band 6 grasshopper.

[ss_11000]

Tell us what is band 6 grasshopper.

band 6 is 90% plus.:2tsup:
5 is 80% etc etc

so i did good in other words:D:p

[ss_11000]

and you turn a mean pen to Stirlo

i know:rolleyes::D

[Wongo]

Not bad.:2tsup:

Can you do band 7? :D

[silentC]

Not knocking what you have put SC but generally its an assumption that needs to be defined clearly as does many other maths terms.
That's why I said we should add the word 'evenly' before divisible, so that people don't get confused.

[ss_11000]

Not bad.:2tsup:

Can you do band 7? :D

maybe in 4 unit maths in yr 12 :no: i seem to recall a certain someone already did that on this forum. now who was it:hmm::::D

[silentC]

However, I would argue that decimal and fraction results are a more advanced form of division. When I was a kid at school just after we learned our times tables, we learned that a number was either divisible by another number or it was not. So for example, 10 is divisible by 2 but not by 3. Then later on we learned the messy truth. So if you were coming from the most basic background, it should be more acceptable to say that 101 is not divisible by any number other than itself and 1, than to say that it's divisible by anything if you're happy to accept a fraction, decimal or a remainder result. So should the assumption be based on the more basic definition or the more complicated one?

[wheelinround]

That's why I said we should add the word 'evenly' before divisible, so that people don't get confused.

But thats misleading as evenly can be understood to be it can only divided by an equal number giving an equal half giving equal parts with answers including fractions.

Whats funny about my fear anxieties with maths is that in science at school my teacher pushed for me to go on to year 12 based on my understanding of maths and science

[silentC]

Anything can be misunderstood. You have to assume a basic level of understanding and then cater for the exceptions when they happen, otherwise we'd all talk like lawyers.

[Wongo]

Whenever we say X is divisible by Y. By default we are talking about integers and zero remainder.

If you use non-integers, fraction or decimal then it would be pointless becasue everything would be divisible by something else anyway.

[wheelinround]

Greg want to apologize for hijacking the thread

lawyers are generally great mathematicians they get the money either way and they normally work 101:D

[silentC]

If you use non-integers, fraction or decimal then it would be pointless becasue everything would be divisible by something else anyway.
Game, set and match, Mr Wong :)

[Wongo]

C' M O N

[Greg Ward]

Wheelin, there's more eggs where they came from, I'll just see what I can find next to annoy.

Wongo's quote: 'everything would be divisible by something else anyway'.

Now that's a big statement..... what about pi?

Greg

[ss_11000]

Now that's a big statement..... what about pi?



yeah - it would just be another infinite number wouldnt it?:)

[Greg Ward]

It's OK I know the answer.....

Wongo states pi is divisible by pi and Wheeling just cuts the pie into sections and sells them with the eggs

Greg

[silentC]

You can't use Pi in a calculation so you have to use an approximate value, and the approximate value you choose is also potentially divisible by any other rational number, right? So Pi is not divisible but 3.14159 is.

[wheelinround]

just don't have a circile 101 circumfance

[Wongo]

Footy
Pi
Footy
Pi
Footy
Pi
.. :D

Hey I didn't say Pi is divisible by Pi. I said Pi divided by pi is 1.

[Greg Ward]

You could use Pi in a calculation:

'Find the relationship between two circle diameters with radii of 1 and 2'.

D = 2 x pi x r

D1/D2 = 2 x pi x 1/ 2 x pi x 2 = 1/2

No estimate needed......

greg

[Wongo]

But your using Pi as a variable/symbol not a actual number. Gee I love aglebra.

[silentC]

That's not what I would call a calculation. A calculation is something like: Calculate the area of a circle with radius 101cm. You can't do that without an approximate value for Pi.

[Wongo]

Advantage Mr C. :D

[Greg Ward]

Eggs aren't circular in any event....

But of course you're correct

Greg