Well that isnt true because The (10-10)(10+10) / 10(10-10) line Basically they divided the (10-10) by (10-10) But in Math, you always have to get rid of the "( )" first
PEMDAS is a way to solve equations. P= Perenthasis E= Exponents M=Multiplication D= Division A= Addition S= Subtraction This is the order you have to follow. Not really but you certainly have to do P first and E second.
I know what PEDMAS is because I use BEDMAS in school its the OOO (order of operations) and for me we use the simple word of Brackets instead of Perenthasis
Brackets are this [] in America while parentheses are () . We usually use brackets when showing domain/range or variables rather than parentheses
If you factor a problem before dividing it, you have to factor it completely. Not partially. It's a major rule of factoring. Every example is partially factored instead of completely factored, thus the final answer uses incorrect math. Otherwise, you could take nearly any number and make it 2.
The problem here is that all laws of math are null and void the second a 0 appears in the denominator. 0/0 is indeterminate, which means it is simultaneously ANY AND EVERY real number. This image shows just one way to get an integer result; you can get ANY number through the method above. Look at this example: 0x1=0 0x2=0 Set the two equal to one another... 0x1=0x2 Cancel the two 0s by dividing from both sides and you get... 1=2. Bam. Laws of math are broken.
Exactly, I was demonstrating how easily the laws of mathematics can be broken. I was hoping someone would say "You can't divide by 0"
No, the laws of math can't be broken. The problem is factored incorrectly. And yes, that's entirely true, the problem can't be solved in the first place because 0 does not equal 0/0. The laws of math are fundamental can cannot be broken - the problem is simply an incorrect understanding of math.
Perhaps what Unit said is worded incorrectly - the laws of math cannot be broken, true. However, all of the laws used in thus scenario imply adherence to the axioms of field geometry and algebra. Because 0/0 does not behave within the axioms of field geometry and algebra, the laws of math do not apply. Therefore, it is reasonable to instead say that each and every law used in the image has the caveat in that they only work with expressions and equations that are "well-behaved" in standard field geometry and algebra. Because 0/0 is not well behaved, these laws have no meaning, no purpose. There are other methods of displaying 0/0, such as in a Riemann Sphere, such that it does act well behaved. Heck, by changing the fabric of a field to fit onto the surface of a normal sphere, you can create a triangle with 3 right angles, and a set of 3 axis which run into one another's ends. TL;DR - Because 0/0 is not a valid expression in the realm of standard algebra and geometry, the laws the govern that realm have no authority over the expression 0/0.
This is a bunch of people trying to explain why normal everyday math breaks down in certain situations.