I added two 10% increments (6.5+6.5)... but instead of adding 0.65 (1%) seven more times, I added a 5% increment (6.5/2 = 3.25) and then 2 increments of 1%
So 6.5+6.5+3.25+0.65+0.65 = 17.55
I still had to use a calculator to add those weird numbers (and also check my work), but it does seem really practical for easier numbers. I usually need percentages for pricing (i.e. discounts/tipping), and the percentages are normally in increments of 5%, so that's pretty useful for figuring out a 15% or 75% of something real quick... or at least get me really close (when talking about something like $X.99)
Regardless, I appreciate the head trick!
Edit: I guess I could've done 30% and then subtracted 1% twice; but it's the same issue (of adding weird numbers) with the same outcome anyway. So thanks again!
Another neat trick: X% of Y is equal to Y% of X. That is, in your example, 27% of 65 == 65% of 27. So check and see which combination might provide fewer steps/messy numbers.
13.5 (50% of 27) + 2.7 (10% of 27) + 1.35 (5% of 27) = 17.55
Ahh, that's a really good point! I forget about the "X% of Y = Y% of X"
Honestly, I normally just use a calculator quick (move the decimal twice, multiply and all that jazz) for weird percentages or I want a precise answer.
But I like knowing different ways of thinking about it because it can become easier than using a calculator (with practice). And it's fun, cause I'm a bit of a math nerd
What most people misunderstand about mental illness diagnoses is that most people have most of these symptoms. It's only when these symptoms overlap and disrupt your ability to *healthily function as an individual that they require a diagnosis and medication/therapy.
Edit: Added healthily as that's the real distinction.
Dude trying to get it from first principles!
Which is what I also lean towards. Give it to me step by step and I need to clearly map out each one... then the mind wanders and when I snap back to attention, I've lost the plot already, my mathematical surroundings are unclear, disorienting.
Add to this an erratic series of math teachers - some of them good, some of them blah - and this day trigonometry to me is a jumbled mess, but I loved calculus and was pretty good at probability and statistics.
7 is closer to 10 than 6 so we consider that 7 is really just a 10 with a size-3 hole in it and we fill that hole with 3 from the 6 giving a 10 with 3 left over which make 13.
My brain actually computes it first as 7 + 5 = 12 + 1 = 13.
I add 5s together a lot at my work (14, 19, 24... 63, 68, 73....) hard to explain why, but my brain jumps to 5s very easily for addition because of it.
It just works very well for me to count lots of things very quickly and easily. I can easily see what a group of 3 or 4 looks like so the whole process is super fast.
12 is a great number isn't it. I remember one especially boring job I had for a while I would spend large amounts of time counting in base 12 on my fingers (using my thumb to tap the three segments of my four opposing fingers) into the thousands and start over.
Interesting, I make sets of 10. When I see 7 and 6, half of the 6 moves over to make 10 + 3. I say "moves over" because it feels like dividing tokens into sets in my head.
Elementary school had us using tokens for math constantly and it made it way harder for me. Especially cause 'showing our work' meant basically drawing the lil tokens on paper that were either black or white I think black represented a minus and white represented a plus (on paper, they were red and yellow irl). So I ended out doing the equation different and then reverse engineering the method they wanted from me.
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