# Question

• Apr 5th 2012, 11:22 PM
cmullen
Question
Hello,

Could anyone give me difficult various problems that will end in the result of 111. Why 111? I'm trying to prove a relationship between numbers for my class regarding Algebra.

Thanks.
• Apr 6th 2012, 12:27 AM
pickslides
Re: Question
How about solve for $x$ where $x -\sin \frac{\pi}{2} = 0.001\times 10^5$
• Apr 6th 2012, 12:54 AM
a tutor
Re: Question
Quote:

Originally Posted by pickslides
How about solve for $x$ where $x -\sin \frac{\pi}{2} = 0.001\times 10^5$

but here x=101. (Nod)

To the OP I would ask, what level are your students at? What relationship do you want to prove?
• Apr 6th 2012, 02:47 AM
Sylvia104
Re: Question
I think this thread is better in the Math Puzzles section. (Nod)

Here's a question for you. Find the largest integer $n$ such that $450!$ is divisible by $10^n.$
• Apr 6th 2012, 03:45 AM
Soroban
Re: Question
Hello, cmullen!

Quote:

Could anyone give me difficult various problems that will end in the result of 111?

$3 \times 37$

$1 +10 + 100 \:=\:\dfrac{10^3 -1}{10-1}$

$(10 + i\sqrt{11})(10 - i\sqrt{11})$