You should be able to solve this.
>ITT people who think you can MULTIPLY something and get a SMALLER number as a result
Multiplication fucking means you add the number to itself n times, how the FUCK would it be smaller than the number you put in? Think before you post, morons.
The answer is -350
You can't multiply an odd number by a fraction.
Nice try though.
That is true, however division and multiplication are inverses of each other.
In this case, you are multiplying by .5, equivilant fraction of 1/2
So to solve this, take half of 900, and subtract it from 1000, you get 550.
This is the kind of equation maths teachers love to throw out, since it teaches you the basics of order of operations.
On a side note, lots of shitty cheap calculators don't have order of operations included, so you need to be aware of it when writing up equations.
>TFW I actually knew how to solve this
Pretty good for someone who failed remedial level math at college 2 times, and also dropped out of college algebra. I can't begin to tell you how retarded I am in math, I probably have a highschool freshman level math skill at best, maybe even middle school level. I'm pretty good in every other subject, but math, well I'm a literal retard if you ask me math problems....regardless of how "easy" you think it is.
Like I said, took me two and a half bloody years to pass a fucking math class at my college, couldn't even pass remedial level math courses.
Freeza is about to head out to a remote planet with some of his trusty minions. However, he misplaced his keys and has to go back to find them. He tells his minions to wait and showed an open hand with five fingers.
How much time will Freeza spend before returning with his keys?
You should be able to solve this.
>"Oh shit how did I get 50, I sure am stupid."
>"I-I was only baiting I swear."
Dude don't worry about it, most of that ability is determined by factors outside of your control. It's like crying over spelled milk at this point, there isn't much you can really do besides go through 10x the effort as everyone else to train yourself at being slightly good at basic shit which naturally gifted normies will always excel at anyway. Find something you're good at on your own and excel in that.
Can't wait for genetic engineering to kick off so that others don't get an unfair advantage or disadvantage for the entirety of their lives due to a bunch of unctrollable shit determined at birth.
>Needing multiplication in parenthesis for it to go before subtraction.
I can't even tell if its trolling anymore or people are just morons.
You win for tonight /a/ i'm out.
Why does 4chan as a whole never prove their work by subbing in different numbers?
X-900*.5=50 sub 1000 for X and solve
X-900=100, divide .5 from both sides
X=1000, add 900 to both sides
y'all had some shit math teachers
>Americans trying to math
Aren't you supposed to be dreaming right now?
>Can't wait for genetic engineering to kick off so that others don't get an unfair advantage or disadvantage for the entirety of their lives due to a bunch of unctrollable shit determined at birth.
except that's something probably literally only the rich will be able to afford
Got a good chuckle out of me anon, thank you.
I thought I was on /b/ for a moment there.
HOLY SHIT ITS 2016 HOW CAN YOU BE RIGHT ON MY HUGBOX???
First: it is undeniable that these so-called rules are arbitrary (yes, agreed-upon correctness is still arbitrary)
Second: why are you stumped by simple algebra?
His was wrong, but that clearly was not your concern.
x = 1000
x - 900*0.5 = 550
-900*0.5 = 550 - x
900*0.5 = x - 550
450 = x - 550
x = 1000
education isn't intelligence
knowledge of arbitrary rules isn't intelligence
Who knows, maybe our rich overlords will do us a favour and let us die out, replacing the working class with machinery, so that no more children are born having to deal with inferiority to the rest of the populace. I'm not expecting someone to come out with a gene therapy next week that allows even detritus like me to become better, but it's a comforting thought that some of the children born in the future won't have to rely upon mere chance in order to be capable in this world.
right here is the error
there is no "2X" because dividing the .5 cancels it out entirely on that side
it's fucking 5am and I'm on a mongolian underwater basket weaving forum arguing basic mathematics, I swear to god you guys are just trolling me.
>there is no "2X" because dividing the .5 cancels it out entirely on that side
except you're fucking wrong, the .5 doesn't apply to that whole side, only to the 900
only if it was (x-900)*0.5, but there's no parentheses so it only applies to the 900
>there is no "2X" because dividing the .5 cancels it out entirely on that side
No, if you multiply both sides, you are supposed to multiply every single variable/digit, the .5 cancels out only for 900*.5, while the the newly formed (X / 0.5) becomes 2X.
I am starting to think people don't know about order of operations because they have no idea how to work with monomes and polynomes. Seriously, just write it down as:
It's literally impossible to make a mistake when you see the underlying structure of the equation.
It's because you're still doing it wrong you brazilian subhuman, wheter you cook shit in a pan or in a pot the reason it tastes bad isn't the instrument you used it's because it's shit.
1000 - 900 * 0.5 = 550
X - 900 * 0.5 = 550
X - 450 = 550
X = 550 + 450
X = 1000
Stupider than Wakaba.
All of mathematics is "arbitrary". We decided how sets work, then we decided basic rules around sets. Starting from those rules, like for example Union and Difference between sets, we begun finding out other rules we could demonstrate starting out from our axioms.
It's from those very sets that we created relations, then functions (which are n+1 relations) and, well, everything else.
Arbitrary. And yet a valid model to describe reality.
Are you a fucking 12 year old?
Yes, it's arbitrary. Yes, math would be equally as consistent if the convention was that (without parantheses) addition comes before multiplication.
That does NOT mean that you can take an equation and just decide to follow different rules. I mean you can, and your results will be consistent, but completely incompatible with everyone else. Basically, you'd be a huge idiot.
It's the same thing with language. The fact that "cloud" means "that white fluffy stuff in the sky" and not "the male reproductive organ" is completely arbitrary. But if you go around shouting that clouds are dicks because you decided so, people will think you're a fucking moron.
Which you are.
Axioms are fallacious, why are you trying to be taken seriously?
Reality isn't defined you assmunch, so it's arbitrary rules for an arbitrary 'reality'.
>if everybody isnt doing it its wrong
I'm sick of teenagers on my /a/.
I was probably here before you were born.
>Axioms are fallacious
Why? As long as we don't rely on too many of them and we are absolutely sure they are extremely simple (aka, absolutely impossible to demonstrate), there is no problem. You can actually build extremely complex and useful mathematics with them.
Take vectors (as in, mathematical vectors, matrixes with shape 1xa or ax1). You start by defining two simple axioms: that you are allowed to sum two vectors and that you can multiply a vector for a constant value (you also define how this is done). With this simple idea, you create everything else. And as much as you want to make axioms to sound "fallacious", the monitor you are working with right now is actually working using vector and matrices math.
Well, you sound like a little kid who can't even memorize one simple rule.
Mathematicians only don't use paranthesis for multiplications, cause it's a lot easier to read in longer equations and a pain in the ass to write every time.
>Reality isn't defined you assmunch, so it's arbitrary rules for an arbitrary 'reality'.
He never said reality is defined, he just said it's a valid model, which is true if you look at all the stuff that came out of mathematics.
You niggers, this is middle school bullshit, and should be solved with a middle schooler's methods like PEMDAS. You think a little shit watching DBS gives a shit about advanced mathematics?
>math is arbitrary
I can't wait for freshmen to fail this semester.
>The "fact" that multiplication goes first is completely arbitrary
Pls learn math, it's not arbitrary.
>We decided how sets work, then we decided basic rules around sets.
No we didn't "decide how sets work".
on first glance this is how it looks. however math is funny in that it has an order. Multiplication/Division before Addition/subtraction
So it's really 1000-(900*0.5) = 1000-450 = 550
I admit I was a little stuck.
Not my fault people wanted to shove me into a special school only because of "something" I apparently had in my head ever since the moment I was born and it turns out, I actually never had anything wrong with me and I spent the entirety of my childhood on a shit ass special needs school that teached fuck all, only the most basic of basic shit, while having my hair tugged out from kids that actually had their very own issues and needed special care (which I can't blame), which my mother decided to take me out of only to end up my remaining days in house helping around and spend another part of my childhood only learning what I was subjected to in the internet.
Now thanks to THAT, shit that I should have learned since very young, now I have to make up for lost time as a grown person, trying to fix the shitty childhood I once had education wise.
And apparently, that school was so shitty, I'm pretty much declared as someone who doesn't even HAVE any studies and apparently can't even write even though I can. And that school even seized to exist and any remaining proof that I may have of having done any sort of studies are now hidden behind closed doors, if there are even any.
Irony of all ironies, people like to call me smart for whatever reason when the truth is, I still struggle with some basic math problems that go beyond what I haven't learned in that lousy school. I know I'm not a retard, but it still feels pretty damn embarrassing to not even have any sort of studies backing me up.
The only thing I learned about all this is being apathetic as fuck while trying to be open minded about everyone, regardless of who they are.
tl;dr don't be like me
Mathematicians don't ever use order of operation rules though, the only time you'll ever have to use them is in middle school "maths" problems designed specifically for them. Such problems don't arise naturally in mathematics or any applications.
That anon may be a complete retard, but he's right about it being arbitrary. The only reason it's like that is that it's much easier to write polynomial expansions like that. You could, if you wanted to, decide that addition comes first when there are no parantheses. Everything would still be completely consistent.
What are you talking about? Of course they do. It's literally impossible NOT to use them, since some set of operation order is required unless you use parantheses for every single operation. See >>143539271
Try writing a polynomial expansion without assuming that multiplication comes before addition. It's just that order of operations is so fucking simple that it's a complete non-issue once you get past grade school math. It's not that it doesn't exist anymore.
You two seemed to have missed that line.
Now for le /sci/ ebin maymay
That's pretty good
No, it's just some mathematical model which can assign values to divergent series, and the sum of all positive reals is, according to that model, -1/12.
According to mathematical theory, the sum of all natural numbers (not all positive reals >>143541807 you retard) equal a negative twelfth. It sounds absurd, and there's a 'series' of series calculations you can do to 'prove' it. That answer actually becomes useful in quantum physics too, which is interesting.
The joke is that no-one gives a flying toss about whether or not that's true because you'd never live long enough to stop earning more and more money regardless.
It's summer. Stop trying to make idiots learn things.
Math only serves to prove why X character breaking physics is dumb/amazing
See Flash going anywhere from Tredecillion to Quattuordecillion times the speed of light to beat Instant transmission from across the universe and then tuning all radios on Earth to a specific frequency
This is what happens when Britain exits the EU.
You are wrong since
BP (ǫ) := sup
lim log L(I
(Φn) ≤ ǫ
Be,P (r) := sup
lim log L(I
log Tr I
(Φn) ≥ r
e,P (r) := sup
lim log L(I
log Tr I
(Φn) ≤ r
BD(ǫ) := sup
(Φn)|Ψni ≥ 1 − ǫ
Be,D(r) := sup
log (1 − hΨn|C
(Φn)|Ψni) ≥ r
e,D(r) := sup
(Φn)|Ψni ≤ r
>x = 1000
>x - 900*0.5 = 550
>-900*0.5 = 550 - x
>900*0.5 = x - 550
>450 = x - 550
>x = 1000
Why would you do all that extra shit to prove what was already obvious to everyone in the room?
I know you have to prove your answers, but that's only when a variable is introduced.
I'm curious as to how exactly Americans learn Algebra. We're just taught the basic algebraic axioms of commutativity, associativity, distributivity, etc. By associativity of multiplication, the 900*0.5 can be placed in parentheses and treated as a singular term, so 1000 - (900*0.5) = 550
Is this not what you learn?
Rather simple. The left tips since the metal ball on the right isn't contributing to any sort of force since it's being held by a string attached to a rod. It exerts zero force/pressure.
assuming the steel ball is solid, but if it's a hollow steel ball with a thin shell it would float and also contribute. the picture shows it hanging straight downwards but that could just be the moment before it started floating back up. in this case we'd need to know the mass of the balls specifically and also the mass of some of the string
>the monitor you are working with right now is actually working using vector and matrices math
It's actually working using electricity. The vector and matrix math is just an abstraction.
I hated the fact that my experience with various math branches, chemistry and physics was more about memorizing a shitload of constants and unique case rules that govern specific equations (based on context) rather than the theory behind it.
Shit gets confusing after a while, you're just a calculator instead of comprehending what you're doing. Granted most of this was a decade ago during highschool, so much of it has been forgotten now.
How does that work. What the fuck is common core? Did yanks throw out order of operations? Or is there some other assumption that the equation is not actually:
20 / 5 * (2 * 2).
Are the skipping the whole outside(inside) implies a *, unless otherwise signed? Was shorthand a mistake?
>X-900*.5=50 sub 1000 for X and solve
>X-900=100, divide .5 from both sides
I know you're baiting but here's your (You) anyway
Use rank-nullify theorem and find dim(ker(T)) by solving for the basis of the null space.
This is freshman level linear algebra.
The sum diverges you fucking idiot. The Riemann zeta equals the sum for real part of the argument larger than 1 but an analytic continuation is possible to the entire complex plane, which assigns values to the zeta function. Outside of the domain of definition for the sum the zeta function does not equal it.
>people still fall for the physicists' ruse in Numberphile' video
x - 7 = 19 + x
multiplying by -1
-x - 7 = 19 + x
-7 = 19 + 2x
-26 = 2x
multiplying by -1 again to counterbalance the first -1 multiplication
26 = 2x
divide by 2
x = 13
Flooring, or truncating, a number gives the greatest integer that is equal to or less than that number.
Floor function: ⌊x⌋. So ⌊3⌋ = 3, ⌊2.9⌋ = 2, ⌊-1.8⌋ = -2, etc.
Similarly, there's also a ceiling function ⌈x⌉, which gives the smallest integer that is equal to or greater than the number. ⌈3⌉ = 3, ⌈3.1⌉ = 4, ⌈-1.2⌉ = -1, etc.
I never actually learned this, but treating this sum as function of n and evaluating the improper integral from 1 to infinity we get something roughly equal to 1/(ln(4)) which means that x must be 0.
Is this how you solve these things?
>always sucked in math
>failed every time in school
>pretty good at everything else
>decided to go to pharmacy school because I love chemistry and biology
PEMDAS was Middle school algebra level when I took it
In 1993. It was still that level when I taught in 2007.
Math is mostly patterns and learning them through repetition and recognition. Where one fails the other prevails.
I will throw you a bone though: Remedial College Algebra is usually the worst place to learn Algebra, especially since almost every school now does it via computer, say nothing that if you think a Professor doesn't have to actually know how to teach, what do you think a TA working on their master's is going to usually be able to do?
>he didn't take calculus 3 in highschool
>you don't get logs when integrating 1/2^x
1/2^x = 2^(-x)
the integral of -2^u is - 2^u/ln(2)
after resubstituting -x we get 1/(2^(x) ln(2))
This is very basic.
>The sum does not depend on n
The value of the sum does not, but each part of the sum (of which there are infinitely many) does.
Therefore it must be possible to use a function to represent the sum and calculate it using an integral.
>calculus 3 in highschool
Did you take duel enrollment or are you just meming me?
Our education system is based on the french education system, we have a separate class in high school for those aiming at engineering/math/physics majors
You get taught calculus 3 and even differential equations in senior year
Interesting. In America, the highest math class you can take in high school is calc 2 (which is called calc BC). If you want to take a higher math class, you would have to apply for duel enrollment and take the classes in a university.
Calc BC is calc 1. Where I'm from calc 2 has surface integrals and Greens theorem, calc 3 is vector calc, and calc 4 is analysis.
>limit of the partial sum is the limit of the sequence of summands
There must be a function where the integral is equal to the sum within the same bounds and I can show you that:
substitute (2^n) as -x
So we the function -1/x, this function should already be the anti-derivative, therefore we just put in our values 1 and infinity, subtract and we get 1, just like what is apparently correct.
Now the obvious question is whether you can formulate a set of standard substitutions.
Which is none of my concern, since I have shown my point and this is a massive waste of time.
>Otherwise you're wasting your time.
Of course I am, what else am I here for?
Fuck it, I'll go with (b. My fading memories in series say so.
anything i dont like is le bait
Because they're literal fallacies you idiot.
>the monitor you are working with right now is actually working using vector and matrices math.
This is also a fallacy, and is based upon a few axioms (other glorified fallacies).
I bet you can't even see your hypocrisy.
Sweetie, I'm 28 and one of my majors was mathematics.
>which is true if you look at all the stuff that came out of mathematics.
Oh wow he claims it's a model, then makes up an undefined reality.
Then he goes on about what 'mathematicians do' as if that's at all relevant.
Empiricists shouldn't speak
Yes it is, stop deluding yourself otherwise you dogmatic brat.
Axioms are, by definition, fallacious.
Because presumptions are fallacious.
And claiming said presumptions are correct based upon a presupposed model (also based on presumptions) is fallacious.
Using one presumption to confirm another presumption is fallacious.
? I'm explaining what the other Anon was doing (for some reason) but with the common answer.
You do realize this kind of proof takes about 20 seconds right. There's no 'work' done because I do more complex arithmetic/algebra every morning as a part of my alarm.
Surely, a student would find it even more simple.
>I'm 28 and one of my majors was mathematics.
I highly doubt this. Try and take a stab at pic related. Or at least name what the field of study it is.
Damn. At first sight, I confused the problem with the Harmonic series. Thanks, anon. You're worthy of your get.
That's just regular Chern-Simons field theory, an application of TQFT.
Actual TQFT looks something like pic related.
Never change, /a/mish. Never change.
I'm surprised that no one has figured out that the answer depends on where you were fucking born
For instance, Canada uses BEDMAS and for me the answer is 50
I assume that for PEDMAS it's 550
The B for "brackets" and the P for "parenthesis" mean the same thing.
>For instance, Canada uses BEDMAS and for me the answer is 50
No, you're just an idiot. Not all Canadians are this stupid.
Try imagining turning the XYZ coordinate system so that two axes are overlapping and then think how it could apply here. It doesn't really matter how you draw it. Anyway, the only way to properly depict 4D in 2D would be using colour gradient to depict the fourth dimension.
>TFW a couple of days ago, I realized that the natural exponential function is just the sum of all the integrals of 1
Holy shit everything makes fucking sense now. Why the hell isn't this explained first up? Naturally it's it own derivative then, it resolves to the polynomials that mutually fill in when you differentiate.
IMO the best way to understand math is a combination of 'mindless' memorization and deliberate analysis. Lacking either one or he other will cripple you in different ways. I used to lean too far to the latter side, resulting in me figuring out shit from scratch each time I encountered it if I couldn't remember, which was slower and made it more difficult to avoid errors.
Wrong. Just draw the forces.
In left the ball is part of the beaker system so the only force it can add is its gravity force (very small).
In the right beaker there must be a force pushing the beaker downwards equal to the bouyancy force (one of Newton's laws).
As a ping-pong ball is lighter than the water of the same volume, a bigger force is exerted on the right beaker and it will go down.
>Why the hell isn't this explained first up
Because that follows from the definition and literally no one except you needed to realize this in order to understand exp. The recurrence relation that follows from the ODE definition of exp will immediately give you the coefficients without resorting to circular reasoning, which is what you did here.
>By associativity of multiplication, the 900*0.5 can be placed in parentheses and treated as a singular term
What? Nigga, associativity doesn't mean what you seem to think it means. Look it up.
It is. If long division can justify 1/3=0.333... then it can also justify 1/9=0.111... Two statements are equivalent.
So far the only satisfactory proof for 1 = 0.999.... is by summing the series that represents 0.999... or through defining the reals and proving that infinitesimal quantities don't exist in R. But of course I wouldn't expect the average /a/non to know this.
People in other countries are already taught Calc 3 in HS? That kind of makes me jealous, on my way to my 2nd year and that's when they offer it.
Depends just how bad you are.
If you can't deal with calculus, okay, sure, you can still be intelligent.
If you can't deal with algebra, some part of your brain is inferior to an average adult's.
If you can't deal with arithmetic, you are genuinely retarded.
I'm studying Engineering, 4th year Mech. I have never used series outside of our Math courses. Never ever. Not even when we were studying waves.
Maybe if I were going for my Masters or a PHD I would use it, but a BA w/ H, no.
> Mathematicians having a connection with reality.
As an EE, we used series plenty of times in Signals
>hurr I know you are but what am I?
No one said anything about me you retard. Given how you're too retarded to understand how Fourier series is useful in engineering I wouldn't be surprised if you don't know how to read as well.
If n is a natural number it is either even or odd.
Suppose n is even.
Then n = 2k where k is some natural number.
(1+n)(-n)(-1) = (1 + 2k)(-2k)(-1)
= 2k + 4k^2
= 2(k + 4k^2)
Here we easily see 2 divides this. 2 is prime.
Suppose n is odd.
Then n = 2k + 1.
(1 + 2k +1)(-(2k + 1))(-1) = 4k + 4k^2 + 2 + 2k
= 6k + 4k^2 + 2
= 2(3k + 2k^2 + 1)
This is also divisible by 2, a prime number.
There you are!
>you should be able to solve this
If pemdas must be followed how the fuck do you solve something like 10 - 90 x 0.5 + 606 / 59 x 0.5 + 502 + 11 x 5^5 / 9 - 10000 x (50 - 2) - 29 + 33 x (0.5 + 502 + 11 x 5^5 / 9 - 10000 x (50 - 2) - 29 + 33) - 0.5 + 502 + 11 x 5^5 / 9 - 10000 x (50 - 2) - 29 + 33 without using a calculator? You're gonna be jumping all over the place just to find which operation to deal with first