What this calculation

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As I wrote to winston, you have to realise that some people just don't have an understanding of the concept of an equation, or even the effect of shifting decimal points. It's sad, but true.
Yes, but this guy is supposedly a qualified electrician.
 
Yes, but this guy is supposedly a qualified electrician.
Maybe (although I don't recall an indication in this thread about what the OP 'was').

However, why are you trawling through 3 month old threads and making 'less than helpful' comments? Maybe you should take up a hobby?

Kind Regards, John
 
Where you see "less than helpful" I see an opportunity to try and make someone wake up and smell the coffee before they kill someone.
 
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Where you see "less than helpful" I see an opportunity to try and make someone wake up and smell the coffee before they kill someone.
Maybe, but that still doesn't explain why you are dragging up an ancient thread in order to find that opportunity.

Kind Regards, John
 
Fair enough. Yes, probably, but I hadn't seen that (and can't read minds!) ....

.... I'm very busy at the moment and don't have the time to look at new threads - I'm currently just looking at threads I'm 'following' (i.e. have contributed to) if/when I receive notifications of new posts in those threads. I hadn't received any such notifications for a few days, but today I got this one relating to an ancient thread :)

In any event, if there were a point that he felt compelled to make, I would have thought that it would have made more sense to post it in today's thread, rather than last November's one!

Kind Regards, John
 
you can also move decimal points 2 places to right on both so .27 / 27.15 would become 27/2715 = 0.0099 or 0.01

When the lotto was first launched in 1994, the odds of winning a jackpot was calculated as 49x48x47x46x45x44 (6 numbers) divided by 6x5x4x3x2x1, which gave you odds as 1 in 13,983,816 or roughly 1 in 14million.


Trouble is if you were to calculate using a less powerful calculator, most basic calculators could not compute the multiplication of the larger numbers above (49x48x47x46x45x44) so the trick is to decimalise the numbers such that 49 becomes 4.9, and 48 becomes 4.8, so in the end you multiply 4.9x4.8x4.7x4.6x4.5x4.4 and normal calculator with limited power would now be able to compute it and display results as 10068.34752, this is not a true number since you decimalised it, so now to get the true result, you shift the decimal to right by 6 places such that your actual number calculated becomes 10,068,347,520, you then divide it by product of shorter numbers which is 6x5x4x3x2x1 = 720

Therefore 10068347520 / 720 = 13.983816Million or 13,983,816.

Or 10068.34752 / 720 = 13.983816, which is not true result so we can move our decimal 6 places to right (moving decimal 6 places to right means you are multiplying the result by 1,000,000, to get true result.)

Now Lotto have changed the pool of numbers, so you now have a larger pool of numbers 1-59, and still allowed to choose 6 numbers, which means the odds of winning a jackpot have increased more than by 3 folds, so roughly 1 in 45, that is a bad deal we are now getting from Lotto Uk, but here is how you would use a normal calculator and work out to confirm the odds:

5.9 x 5.8 x 5.7 x 5.6 x 5.5 x 5.4 =32441.38128, shift decimal 6 places to right to get actual result, which becomes 32,441,381,280 divide by (6 x 5 x 4 x 3 x 2 x 1) (720) = gives you odds of 1 in 45,057,474.

( This way you can cheat your calculator to work out bigger numbers using decimals)
When someone has limited brain power, one can cheat and be successful!

Moral of the story is you don't have to have smart brain to be successful !
If you can cheat, you are smart enough! :LOL:
 
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When the lotto was first launched in 1994, the odds of winning a jackpot was calculated as 49x48x47x46x45x44 (6 numbers) divided by 6x5x4x3x2x1, which gave you odds as 1 in 13.983816 or roughly 1 in 14million.
Trouble was, if you were to calculate, most basic calculators could not compute the multiplication of the larger numbers above (49x48x47x46x45x44) so the trick is to decimalise the numbers ...
No need to do that - just alternate the multiplications and divisions. In other words, simply calculate:

49 ÷ 6 x 48 ÷ 5 x 47 ÷ 4 x 46 ÷ 3 x 45 ÷ 2 * 44 ÷ 1

... doing it that way, the calculator never has to cope with a number greater than the final answer.

Kind Regards, John
 
No it doesn't, you're off by a factor of 10⁶ in both cases.
Indeed, and that's obviously because he divided by 10 ('decimalising') 6 times. However, I imagine he realised that he was getting an answer 'in millions' - but he would probably have got much more confused if one was choosing some other number (other than 6) of numbers! In any event, I've just shown him a a less fiddly way of doing it (with a limited calculator), which actually gives the really correct answer!

Kind Regards, John
 
No need to do that - just alternate the multiplications and divisions. In other words, simply calculate:

49 ÷ 6 x 48 ÷ 5 x 47 ÷ 4 x 46 ÷ 3 x 45 ÷ 2 * 44 ÷ 1

... doing it that way, the calculator never has to cope with a number greater than the final answer.

Kind Regards, John
Thanks for an interesting alternative method, I did that and got 13,983,815.99 (close enough John)

And thanks I was confused because when you decimalise, you are dividing by 10, so when you decimalise 6 times you have effectively divided by a Million, so you must multiply your calculated results by a Million, or shift decimal to right by 6 places. thanks all for taking part in this little excersize.
 
No it doesn't, you're off by a factor of 10⁶ in both cases.
indeed i was, thanks for pointing this out.

Amazingly my simple LG Phone calculator managed to calculate 491x492x493x494x495x496x497x498x499=1.7839949e24

Cricky, I gave up it kept going well past power of 300, I will find out what its limit is.
 
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Amazingly my simple LG Phone calculator managed to calculate 491x492x493x494x495x496x497x498x499=1.7839949e24 ... Cricky, I gave up it kept going well past power of 300, I will find out what its limit is.
They virtually all work like that (as does any computer). However, note that, although they can handle, and display, unbelievably large numbers, the precision is limited - in your case seemingly to 8 significant figures. That means that, say, 12,345,678,123 would be treated as 12,345,678,000 and displayed as 1.2345678e10. If you then divided that by some (large) number, the answer could/would be very slightly incorrect, due to the ceiling of precision.

Kind Regards, John
 

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