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# Trick Questions for the Summer

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Since we are all in quarrentine, and sometimes it could get a little boring, I decided to present some "tricky" math problems that would help you do good with your time. I was scrolling on the web, and I found these seemingly easy questions, but after some thought, I got stumped. Therefore, I decided to make my own versions of them. So, here they are:

1. \(10÷2(1+4)\)

(see what I mean?)

2. (This one, I saw on Quora, and decided to bring it here)

\(a=b \)

Instead of geuss and checking, try solving it algebraicly. (you'll get confused somewhere in the process)

Process for trick question 2 (If you get stuck):

\(a = b\)

\(a^2=ab\)

\(a^2-b^2=ab-b^2\)

\((a+b)(a-b)=b(a-b)\)

\(a+b=b\)

\(2b=b\)

\(2=1?????\)

This is great proof for why dividing by 0 is undefined! (since the range covers all numbers )

Jul 29, 2020
edited by ilorty  Jul 29, 2020

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Here is a challenge for you to occupy your time!

Can you find the first 20 digits of (10^100)!, or Googol factorial? Good luck.

Jul 29, 2020
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Wow! After some research, apparently googol factorial is larger than the amount of particals in the universe! But, if I were to geuss, it should be undefinded? I'm probably wrong, as numbers are infinite.

ilorty  Jul 29, 2020