0.5 / 0.5 = 1, so reducing the top term by half (from 0.5 to 0.25) reduces the result by the same (from 1 to 0.5), makes perfect sense to me. Or, ya know, just remember that dividing by 0.5 is the same as multiplying by 2.
Or even simpler the half of 0.5 fits into 0.25. And we all know a half is 0.5
I was trying to think how to put that into words with an example like, "how many halves fit in 10? It's 20. So how many halves fit in a quarter? Only half of a half will fit, so 0.5" but I kept screwing up the wording in my head for halves and quarters until I read your reply, so thank you for helping with that clarification. I knew the math was right but couldn't put it into words the way I wanted.
0.5 / 0.5 = 1
Fuck you, that's even worse!
x / x = 1
really shouldn't make anyone upset
It is the same as 1*x = x
I give you x, once. How many do you have?
What if x→0
Then X can start tending to hell
Dividing any number, except 0, by itself equal 1, so the first part of your argument makes no sense.
Incorrect. The argument makes perfect sense, you just gave a reason for why the example's initial point seems obvious. Proofs don't need to be fancy or make novel arguments to be effective. It's math, where the shortest distance between two points is a straight line.
Is this a real stance you're taking or are you just trolling? Explain yourself.
If you move it around it makes more sense.
.25 = 0.5*0.5
If you take half of something only half of the time you take a quarter of something.
So?
Maybe someone better at math can answer this, but is 0.25/0.5 functionally the same as 0.5/1, or simply 0.5?
You can call it whatever you want, as long as it equals 1/2 it's the same number.
So yes, multiplying by 2/2 to make it more intuitively obvious is perfectly valid and a good way to think about it. Most arithmetic tricks are ultimately multiplying by 1 or adding 0 just to make the problem easier to handle.
Oh yeah, I just meant that they said I multiplied by 2, which in my head is 2/1 but I was multiplying by 1. Just trying to be clear.
I think it's easier to picture it in terms of fractions. When you divide by a fraction, you reciprocate the divisor. That is, you flip its numerator and denominator, then multiply them. In this case, we're taking 1/4 and dividing it by 1/2. You take the reciprocal of 1/2, which is 2/1. Then multiply the numerators and denominators. You end up with (1/4)*(2/1)=2/4=1/2=0.5
0.25 is half of 0.5. Alternatively: A quarter is half of half. If you multiplied 0.25/0.5 by 2, then it would be 0.5/1, which is just 0.5.
Didn't I multiple it by 2/2 which is the same as 1? Like isn't 2/8 the same as 1/4?
Dividing by a division of 2... Of course it's going to cancel out. Like subtracting a negative.
Surely you don't not understand double negatives? Just think of it like that.
Dividing by 0.5 is the same as multiplying by 2. Simple
0.25 / 0.5 = 0.25 * 2 = 0.5
Everything I see memes like this I think:
“Do other people just not get basic math?”
Every time I see something like this, the comments remind me that common core mathematics is a thing and it makes me sad.
Seriously, why is basic arithmetic worthy of so much discussion?
Just... do the math. It's not complicated math.
I sometimes feel bad about myself cause I didn't get very far into calculus, but then I remember that the average adult has no idea how fractions work.
0.5 = 1/2, 0.25 = 1/4
0.25 / 0.5 = (1/4) / (1/2) = 1/4 * 2/1 = 2/4 = 1/2 = 0.5
A quarter of a half is a half
Edit: its a joke comment guys
More accurately a quarter of a whole is a half of a half of a whole
Morer accurately, a quarter of a whole is half of a whole half which is half of a whole
'A quarter of a half' would be 0.5x0.25 (0.5x1/4 = 0.5/4) and it's not a half. The equation shown is 'a quarter divided by a half'.
You can't even buy boots with a quarter
People don’t understand sarcasm lol
I understand this mathematically, but can somebody explain it logically?
0.25 is half of 0.5
Multiplying by 0.5 halves. Dividing would double the number. 0.25 doubled is 0.5.
Sleep well!
y/x = x with y = x*x because 0.25 is 0.5 squared.
from the "wow factor" it's the same as writing: 9/3 = 3 - not very wow at all
Start with the reverse. If you had half a pizza and you wanted to divide it by quarters of a pizza, you'd be able to do it 4 times (there are four quarter slices in a half pizza).
But with this we're asking how many half-pizza slices are in a quarter-pizza slice. The answer is that there's half of one (half of a half is a quarter).
In case people would like it demonstrated,
0.25/0.5
= 1/4 ÷ 1/2
= 2/4 ÷ 2/2
= 1/2 ÷ 1
A÷1 = A, therefore 0.25/0.5 = 0.5
Alternatively, (a/b)/(c/d) = (a×d)/(b×c)
1/4 ÷ 1/2 = 1×2 ÷ 4×1 = 2/4 = 1/2
And before any pedants crawl out of the woodwork, there are a load of implied brackets, at the spaces.
Why is it not 0.125?
For that to be true it would have to say 0.25 / 2.
same as x * .5 = .25 if that somehow helps ya
I suspect people might be getting confused by this because of colloquialisms like "divided in half", "divided in the middle", "divided by two"
things is, math doesn't care about idioms
another area in mathematics that I've seen ppl (myself included lmao) suffer from this is propositional logic. like with the non exclusive nature of the OR operator
but this is all just a wild guess
I definitely struggle with any math that I can't visualize in a physical way.
Sometimes it clicks if you graph it out with the confusing values on axes.
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