(999^2 - 1)/998
743 sats \ 21 comments \ @south_korea_ln 23 Sep charts_and_numbers
No calculator, just some basic operations. Good luck!
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1355 sats \ 3 replies \ @random_ 23 Sep
(n^2-1)/(n-1) =(n+1)(n-1)/(n-1) =(n+1)
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21 sats \ 0 replies \ @didiplaywell 23 Sep
Smart bitch!! Didn't thought of that!
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21 sats \ 0 replies \ @south_korea_ln OP 23 Sep
That's the way I used to solve it too...
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0 sats \ 0 replies \ @Bell_curve 23 Sep
sharp as a tack
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131 sats \ 3 replies \ @Satosora 23 Sep
(999^2)=998001 998001-1=998000 998000/998=1000 =1000
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10 sats \ 2 replies \ @ek 23 Sep
mhh, lol, I didn't think of calculating 999^2 in my head ... I thought there must be a trick somewhere.
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16 sats \ 1 reply \ @Satosora 23 Sep
doing it on scratch paper helps. I thought it was going to be a lot harder.
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21 sats \ 0 replies \ @south_korea_ln OP 23 Sep
There is a trick.
Hint: remember the formula for (a^2 - b^2)...
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21 sats \ 0 replies \ @SimpleStacker 23 Sep
To calculate ((999^2 - 1) / 998), we can simplify it step by step.
  1. Calculate (999^2): [ 999^2 = 998001 ]
  2. Subtract 1: [ 999^2 - 1 = 998001 - 1 = 998000 ]
  3. Now, divide by 998: [ \frac{998000}{998} = 1002 ]
Thus, the final result is: [ \frac{999^2 - 1}{998} = 1002 ]
Wtf, ChatGPT?!
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0 sats \ 0 replies \ @cryotosensei 23 Sep
999
999(999-1)/998
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0 sats \ 0 replies \ @Sirkay 23 Sep
Waowho
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0 sats \ 0 replies \ @025738dda8 23 Sep
No paper, just in head...
Some easy facts:
1000*1000=(999+1)*(999+1)
999*1000=999,000
1000-999=1
The hard mental math:
999*(1000-1)=999,000-999=998,001
Ok, now it's obvious: (998,001-1)/998
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0 sats \ 0 replies \ @jgbtc 23 Sep
21,000,000
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0 sats \ 1 reply \ @WeAreAllSatoshi 23 Sep
Please do more of this :)
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63 sats \ 0 replies \ @south_korea_ln OP 23 Sep
I'll try to go for a daily puzzle then...
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0 sats \ 0 replies \ @south_korea_ln OP 23 Sep
<details> <summary> Click me </summary>
Potential answer
</details>
Testing collapsable answer... preview already tells me it likely won't work. Just making sure.
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0 sats \ 2 replies \ @didiplaywell 23 Sep
Nice one! Do you like puzzles?
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41 sats \ 1 reply \ @south_korea_ln OP 23 Sep
I do.
My work is solving puzzles, basically :)
Outside of work, occasionally.
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0 sats \ 0 replies \ @didiplaywell 23 Sep
I designed a graphic one. A pencil and paper "maze" puzzle. I was thinking about publishing it here on SN but wasn't sure. This is the first puzzle I see published here!
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0 sats \ 0 replies \ @DesertDave 23 Sep
6.4
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0 sats \ 0 replies \ @ek 23 Sep
999^2/998 - 1/998
After checking a few numbers, I realized the greatest common divisor of 999 and 998 must be 1 since there is not much space between these numbers. So I give up.
Was fun to try to solve though, math exam flashbacks
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