The most challenging aspect to the Trachtenberg method is that in researching this topic, I have seen the method explained at least in three uniquely, different ways. Thus, this suggests that either there is a misunderstanding about the method itself, or that the way that people learn about it or how they're being taught about it, is inconsistent.

@math_travel

Ай бұрын

thank you for your comments. I did my best to understand this method exactly, but it didn't seem to be enough. furthermore I had to adjust the way during making this video. I mentioned about this point in the video. sorry for that😪

@ewenchan1239

Ай бұрын

@@math_travel No worries. It's all good. Thank you for your video and the explanation of the Trachtenberg method. I appreciate it.

@christopherellis2663

15 күн бұрын

True, it's very wonky, as presented. Quite forgettable.

How did Mary calculate 57×135 so quickly? She read the script.

@math_travel

18 күн бұрын

I do hope so! thanks😆

@byronrobbins8834

18 күн бұрын

​@@math_travel57*135 would basically be the number 7695 via my calculation.

@math_travel

17 күн бұрын

@@byronrobbins8834 congratulations and thaks

Trachtenberg is an interesting method but... way too long for this kind of simple calculation problem. Since the age of 10 I do the mental calculation like this, keeping the most possible rounded numbers: 57 x 135 = 60 x 135 - 3 x 135 60 x 135 = (6 x 100 + 6 x 30 + 6 x 5) x 10 = (and I hope everybody has it) (600 + 180 + 30) x 10 = 8100 3 x 135 = 3 x 100 + 3 x 30 + 3 x 5 = 300 + 30 + 15 = 405 or 3 x 135 = 3 x 130 + 3 x 5 = 390 + 15 = 405 (just because I love multiplying 13) 8110 - 405 = 8100 - 100 - 300 + 10 - 5 = 8000 - 300 - 5 = 7700 - 5 = 7695 This one is quite simple so I only need 4 steps to solve the problem but the trick resides in always decomposing the operands. Believe me or not, I'm very fast 😉

@math_travel

Ай бұрын

whenever I see people who is good at mental calculation, I have no choice but to show repects. thank you for showing your process and comment! good day!

For a mental math problem, more likely she recognized that 57 = 3 * 19, and 135 * 3 = 405. Then 57 * 135 reduces to 405 * 19, a much simpler mental math problem.

@math_travel

23 күн бұрын

I guess you are good at mental calculation. I have no idea about that. so it seems to me that there is not a big difference between 57*135 and 405*19. sorry. I want you to know that there could be a possibility not to be correct im my explantions. it was not easy for me to understand exactly the Trachtchenberg system. thanks😁

@pietergeerkens6324

23 күн бұрын

@@math_travel Others may feel differently, but for me it's necessary to reduce carrying in order to reduce memory load. Whereas calculations are easy on their own. Perhaps if I practiced the Trachtenberg system I'd change my mind - but first impression is that it is making the opposite trade-off to what works for me.

@math_travel

23 күн бұрын

@@pietergeerkens6324 'to reduce carrying~~' it is a interesting mention.it gives me some feeling about your way. thanks!

Reminds me of the writing method called chiasm. Typically seen a lot in biblical writing .

@math_travel

25 күн бұрын

I'm sorry I have no idea about chiasm. thanks for a comment. good day😁

My Grandfather could speak read and write 7 languages fluently ( English ,French ,Italian,Russian,German ,Polish and Latin) and could do complex engineering calculations in his head to 6 decimal places.He was a metallurgist in france before ww2. He could do these calculation in his head faster than I could do them with a calculator....I suspect he might have been a polymath...very obnoxious and short tempered but could do anything with his hands...couldn't buy a piston for an engine? he cast his own and machined it made the rings gudgeon pin etc etc...

@math_travel

21 күн бұрын

your grandfather amazes me like you were amazed. I am sorry that you couldn't calculate faster than him even with the help of calculator. it's funny. I am wondering how much you are able like him. thanks for your comments!!!

@mottthehoople693

20 күн бұрын

@@math_travel He thought I was the dumbest member of the family...and I have a degree in mining engineering!!! He used to give me engineering problems while he was laying in bed in hospital dying from Prostate cancer...He truly was unique ..and he fought in the free french army then later in the underground..He started my mechanical education when I was 10 .Working on motorcycles clock mechanisms .At eleven I could set the valves set the timing float heights spark plug gaps on halve a dozen different engines

@math_travel

20 күн бұрын

@@mottthehoople693 your grandfather and you were unique. I think you should thank for the relationship with your grandfather.I appreciate you share your story. thanks

@mottthehoople693

20 күн бұрын

@@math_travel thank you for your kind words