My engineering brain says it's 3.25.
4% is ~ 5%. 10% of 75 is 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.
My engineering brain says it's 3.25.
4% is ~ 5%. 10% of 75 is 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.
4*75/100
That's a neat trick but also 4% of 75 = (1% of 75) * 4 = 0.75 * 4 = 1.5 * 2 = 3
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.
Is it weird that I just went
start: 75
to actual decimal: .75
*2*2: 1.5 -> 3
Nah we all do weird shit. I did 4x75, then moved from 300. to 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.
Yes, but then I have to do 4 x 75 = 50 + 25 + 50 + 25 + 50 + 25 + 50 + 25 = 50 + 50 + 50 + 50 + 25 + 25 + 25 + 25 = 200 + 100 = 300 in that same order because non-maths brain.
Even the first one, 0.75 doubled and then doubled again is hard?
at this point in my life, as somebody with multiple math degrees, if i ever come across a situation where i need to multiply or divide numbers and one of them is bigger than 12, im going to use a calculator.
Look at Mr big brain over here who learned his times tables. Sure hope nobody takes his lunch money.
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
? ~= 3
See 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
? = 100
Bam, lock it in.
I only learned this a few months ago here on Lemmy and still don't believe it. It's magic. You think you're going to "get it" (trick it) this time, but nope! Still works somehow!
Why did no one ever teach me this?? Did I miss this day in class? I feel so silly. This is really useful.
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*4/100
And yes, it means you can just multiply 75 by 4 first and then divide by 100.
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.
Yeah, this will be so helpful when I'm trying to figure out 20% of 36.23!
Look, move the decimal one to the left, you've now got 10%. Double that and you've got 20%. How often are y'all trying to find out percentages of nice even numbers like that?
See I love quick and dirty rules to get close enough through estimation for whatever I'm mental mathing, because if I need exact numbers I'm turning to a computation device
20% of 36.23 I'd be going "okay 20% of 10 is 2, 3 10s in 36 so 3x2=6, and 6.23 is pretty close to half 10 and half 2 (from my previous 20% of 10 calculation) is 1 so 20% of 36.23 is slightly more than 7"
36.23% of 20 I'd be going "30% of 10 is 3, 2 10s in 20 so 2x3=6, 6.23% is close to 5 so half of 3 is 1.5, 6+1.5=7.5 so 36.23% of 20 is a bit more than 7.5"
Now which is closer to correct? Ehh I'm not sure I haven't used a calculator yet, but I'm mental mathing so chances are my estimation got me close enough that I can just round to whichever direction is safer for errors and call it good. Usually I'm mental mathing to figure out splitting a bill, a tip or to double check some machine computed math that looks wrong, and none of those call for perfect precision, just getting close enough that it doesn't matter
I also remember a somewhat sinister question: Using a knife, divide 3 apples among 4 people with the less possible cuts. 💀
Just do (7-5)+(5-4)=3
4% is 1/25. 75 is 3*25. so the answer is 3!
The way I see it it makes simple sense:
X% of Y = X * Y/100
Y% of X = Y * X/100
As we know there is no significance to the order here so it is easy to see why they are equal.
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