0/0=2???

0/0=(100-100)/(100-100)=(10^2-10^2)/10(10-10)=[(10-10)(10+10)]/10(10-10)=20/10=2!!!!!!.

#Zero

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

Markdown	Appears as
`italics` or `_italics_`	italics
`bold` or `__bold__`	bold
- bulleted - list	bulleted list
1. numbered 2. list	numbered list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1 paragraph 2	paragraph 1 paragraph 2
`[example link](https://brilliant.org)`	example link
`> This is a quote`	This is a quote
# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"	# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"

Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

I'm sorry to tell you this, but you made a mistake in your calculations: As I answered in a question which was made in Brilliant, there are reasons that lead to 0/0 being undetermined. The problem in the 4th step is that when you went from [(10-10)(10+10)]/10(10-10) to 20/10, you divided the numerator and the denominator by 0. Here is what you did: [(10-10)(10+10)]/10(10-10) = [(10-10)(10+10)/(10-10)]/[10(10-10)/(10-10)], which can be simplified to [(10+10)0/0]/(100/0). Given the fact 0/0 is undefined, you can't replace it with 1, nor any other number. Basically, you can't undo a multiplication with zero by dividing by zero, nor undo a division by zero by multiplying by zero, as both situations result in something similar to a*0/0, in which 0/0 is undefined and can't be replaced by any number, Other implications of 0/0 being undefined are that anything being divided or multiplied by 0/0 is undefined, and that you can't divide anything by an expression which is or can be equal to zero, as the result is undefined in case said expression turns out to be zero. This is why we can't simplify x/x into 1, for example. Here's the reasons why 0/0 is undefined, written by me: https://brilliant.org/discussions/thread/why-00-is-not-define/

Anonymous Person - 6 years, 9 months ago

Yep!You got it.I already knew this mistake.I like fallacies.

satyendra kumar - 6 years, 9 months ago

Me too.

Anonymous Person - 6 years, 9 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$