Everything I see memes like this I think:
“Do other people just not get basic math?”
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Everything I see memes like this I think:
“Do other people just not get basic math?”
Dividing by 0.5 is the same as multiplying by 2. Simple
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.
Nice little trick in the weird syntax we call math.
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?
Huh, that's a cool way to think of it. I've done a decent amount of higher level maths but stuff like this always cooks my brain if I let it. I thought of the numbers as the fractions 1/4 and 1/2, which then reminds me that 1/2 * 1/2 = 1/4, but I think your way feels more elegant
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?
You've got it. The trick to working with fractions is multiplying them by fractional equivalents to one (2/2, 7/7, 13/13, etc) to change them into numbers that our monkey brains can handle more easily.
So?
This is why I don't like decimal notation lol
(1/4)/(1/2)=1/2
makes it way clearer what is going on.
I am in the completely opposite camp of you, I cannot, for the life of me comprehend the equation in this form.
Come on it's not even middle school maths.
(1/4) / (1/2) = (1/4) X (2/1) = (1/4) X 2 = 2/4 = 1/2 = 0.5
it has nothing to do with the equation itself, but the way that it looks. I understand the basics of the mathematics, but looking at it in this form does not work for me.
What's not to understand? One divided by four divided by one divided by two equals one divided by two. Simple.
I understand the math, that isn’t the problem. It’s how it looks. I have a struggle parsing it.
Not weird or disturbing at all
This is 25/50
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.
I see it more clear with this: 0.25 * 2 = 0.5
Dividing by 0.5 is like multiplying by 2.
I get why computers suck at decimals and division now.
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.
I understand this mathematically, but can somebody explain it logically?
0.25 is half of 0.5
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).
you're just doing 1/2 in a smaller scale. it makes most sense logically; it's actually the numbers that are confusing you.
Multiplying by 0.5 halves. Dividing would double the number. 0.25 doubled is 0.5.
Sleep well!