What is the logic behind pic related?
I'm sure there is a reason for it, but I was never taught it and its always bothered me.
For example, whenever I do the quad formula
if -4ac turns out possessive (and following the Order of operations exponents, multiply, add/subtract) I always end up with something looking like 17 153, and multiply instead of adding.
Can anyone explain why we are taught to write like this?
>>8094202
>possessive
positive. Fuck auto correct.
>a - b(-c) = ab
>>8094217
8 -5(-5) if you follow the order of operations and multiply -5 * -5 the problem now looks like 8 25.
Basically why is it that when 2 positive numbers are next to each other, by default it's assumed you are suppose to multiply, but when 2 negative numbers are together you are suppose to subtract?
Example:
if a and b are both positive, and you see
[math]ab[/math]
You know to multiply, even though if you write it out ab comes out as
[math]+a+b[/math]
and
[math]-a-b[/math]
means
[math] -a - b [/math]
and not
[math] -a * -b [/math]
>>8094233
Or in short, why do two positive numbers next to each other = multiply, when two negative numbers written the same exact way = subtract one from the other.
a and b are 1 or irrelevantly converge to a state function = 1
>>8094233
a - b(-c) = a - (-bc) = a + bc
>>8094238
>why do two positive numbers next to each other = multiply, when two negative numbers written the same exact way = subtract one from the other
convention. also, you wouldn't write 31=3
>>8094255
>irrelevantly converge
This
Sorry my examples suck so much.
I really tired.
I'm not talking about math, just the way we write math.
Here, lets say:
let a = 1 b = 6 and c = -1
If I give you
[math]ab[/math]
and you replace the numbers it comes out as
[math]+1+6[/math]
Why, logically would you assume you should be multiplying instead of adding?
another example:
[math]√b^2 -4ac [/math]
after solving for b, then solving -4ac you get
[math]√36 4[/math]
I know you are suppose to write it
[math]√36 + 4[/math]
but why does the + suddenly become visible?
Why not multiply the two numbers like we all know to in the first example?
Does that make sense?
>>8094269
>convention.
Ok but from what logic did we create this convention?
>also, you wouldn't write 31=3
why not? when we already write statements like
+8+8 = 64
>>8094202
wtf is wrong with that image. the second step is retarded