If 100/3=x then why does x*3 not equal 100?
If you divide 100 by 3 you get 33.33333333 etc. And if you times that number by 3 you get 99.9999999 etc. Why do you not get 100?
+2446
\(99.\overline{9999}=100\) This statement to my left is actually true. Let's prove that by manipulating the number:
| \(99.\overline{9999}=x\) | I'll set it equal to some number. Multiply both sides by 10 |
| \(999.\overline{9999}=10x\) | This might be the hardest step to understand. Subtract x on both sides! |
| \(999.\overline{9999}-99.\overline{9999}=10x-x\) | Simplify both sides of the equation |
| \(900=9x\) | Divide by 9 on both sides |
| \(100=x\) | |
WOAH! \(99.\overline{9999}=100\). It's kind of disguised, isn't it?
