Fucking math...
Fucking math...
One…
A-two
A-three. Three licks to the Tootsie Roll center of a Tootsie Pop.
You bit that, you cheated! I saw you.
(4/100) * 75 = (75/100) * 4
I actually think the mutability of expressions is an under-taught part of maths until you reach like, constructing high-level proofs. Rearranging numbers into already-understood ones is a very useful skill.
switch the order of the last two terms (the second equality), put the 0.01 in the middle, and it makes a bit more sense when read as calculation steps.
0.04 * 75 = 4 * 0.01 * 75 = 4 * 0.75Is it weird that I just went
start: 75
to actual decimal: .75
*2*2: 1.5 -> 3
Meanwhile im the idiot thats like “uh 10% of 75 is 7.5, half it for 5% of 75 is 3.75, 1% of 75 is .75, so its probably 3?”
Lets pray thats one of the options on the multiple choice. Oh the professor wants me to show my math? Well lets hope he’s open to me being an abstract dumbass that is capable of getting the right answer.
My engineering brain says it’s 3.25.
4% is ~ 5%. 10% of 75 if 7.5. To get the 5% I have to divide it by 2, so 4% of 75 is close to 3.25. I will have to multiply it with some safety coefficient at the end, so the exact value doesn’t matter.
That’s why you can always double the maximum limits engineers give.
60 mph roadway?
I can do 120 on it no problem.
Eight person elevator? Sixteen.
0.08 BAC? 0.16 easy peasy.
Yes, in elevators usually one cable could hold far more than the full weight, than they add 6 more for the safety.
For rail speed limits this is the exact way they calculate it. For road speed limits they consider break distance, which grows by the square of your speed, so if you go 120 on 60 road, you will need 4 times the distance to stop. I wrote 1.5 as a safety factor, not 4, With a 1.5 safety factor you can go by 75 though, but I would use a 1.1 safety there, as in my country the speed cameras are set up that way, you can go +10% of the official speed limit, they only send a cheque if you went even quicker than that.
Speed limits are trickier than structural safety margins because of several factors:
The upshot is speed limits in my local experience have a lot more to do with the municipality/region’s political climate than engineering standards and safety factors. Sometimes I feel like I could safely go 2x, sometimes the limit is 90 km/h on a two-way one lane road with 30 m of visibility where 30 km/h feels like I’m pushing it.
It’s not wrong, it’s close enough. And the point it works with more numbers and more type of calculation. Let’s calculate 4% of 1243. That’s the same as 1243% of 4, right, much easier to calculate by simply changing the 2 numbers… While my method is the same, by simply rounding everything.
And in engineering you always multiply/divide your results by a 1.5 or 1.25 safety factor, depending on situation. So you don’t have to calculate exact results, just close enough. E.g. G is always 10m/s2. π is only 3.14, the other digits doesn’t matter.
Rounding once may be okay but rounding multiple times and that errors add up. Astrophysics?! If im working with wood, i don’t care measuring to 0.1 mm and it might be okay in astrophysics to use 10 for pi, but that doesn’t make guessing your math correct in general.
Maybe we are doing things differently here in germany.
Mine brain just does 0.75 × 4.
Thought process was…
Yuck. 75 is such a clean number to work with in percentages, it’s 3/4 of a hundred
3/4 of 4 is then easy
4 over 100
is
X over 75
And there’s your butterfly.
Shitty Math Pro Tip: If you ever have to work with numbers larger than 10, convert it to scientific notation and then round to a single significant figure.
? = 0.04 x 75 ? = (4 x 10^-2) x (7.5 x 10^1) ? ~= (4 x 10^-2) x (8 x 10^1) ? = 4 x 8 x 10^-1 ? = 32 x 10^-1 ? = 3.2 ? ~= 3See how easy that is? Here’s another one:
? = 12 x 12 ? = (1.2 x 10^1) x (1.2 x 10^1) ? ~= (1 x 10^1) x (1 x 10^1) ? = 1 x 10^2 ? = 100Bam, lock it in.
Ah, joy of commutative algebra.
Wait until you get to noncommutative algebra… shudders. No one who mastered that monster of a subject is sane in any measure.
4*75/100
3.5% of 7535*75/1000
Yes and no, other day I was trying to figure out 17% of a number like 65, and I’m like “Oh it’s just 65% of 17!” Which really wasn’t helpful.
It works with small numbers on one side tho.
Most teachers will write it off as obvious. Taking a percentage of something is just multiplication and if you actually write it down with multiplication, it is, indeed, obvious:
4*75/100=75*4/100And yes, it means you can just multiply 75 by 4 first and then divide by 100.