CPhill

$${\mathtt{87}}{\mathtt{\,\times\,}}{\mathtt{1\,234\,567\,890}} = {\mathtt{107\,407\,406\,430}}$$

To keep his DOGma from being hit by a KARma

That Big...............

2+2+4,000,000,000,246-1,234.2*432.1 =

$${\mathtt{2}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2}}{\mathtt{\,\small\textbf+\,}}{\mathtt{4\,000\,000\,000\,246}}{\mathtt{\,-\,}}{\mathtt{1\,234.2}}{\mathtt{\,\times\,}}{\mathtt{432.1}} = {\mathtt{3\,999\,999\,466\,952.18}}$$

Nice answer, Heureka.......maybe I should have been more explicit....No calculators allowed!!!

(Besides, there's a simple way to "solve" this without a calculator!!)

But....I suppose I'll have to "grandfather" you into the "club," because you did provide a proof!!

Melody......Here's a problem that I ran into some time ago:

Show that

(1/2)*(3/4)*(5/6)*(7/8)*..............*(97/98) *(99/100) <  (1/10)

It's "tricky" ......but simple.......all at the same time.

Maybe some of the members  - or even, non-members - would like to try their hand at proving it !!

One word of warning.......your calculator won't do you any good on this one !!!

And ....as a "silly" problem...see if some of the users can figure THIS one out!!

Show that:    sinx / n  = 6

I'll blame it on them !!!

No...I actually DIDN'T touch it!!

Honest!!!

Ghosts in the Machine - again!!

You could leave it as a mixed number.......I don't have any particular prejudices against either one!!!

I believe that this question is nonsensical.......

Consider that tan^-1 (.76) = 37.234833981575°

And cos-1 (.22) = 77.29096700560°

And using the "identity" 

tan (x) * cos(x) = sin(x) , we get

.76 * .22 = .1672

Which means that sin(x) = .1672

And sin^-1 (.1672) = 9.625060859216°

Which leads to the strange "identity" that

tan 37.234833981575° =   sin 9.625060859216° / cos 77.29096700560°

Which, in fact, IS true, if we're willing to let "x" represent three different things at once !!