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?

Guest Jun 6, 2017

#1**0 **

\(99.\overline{9999}=100\) 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?

TheXSquaredFactor
Jun 6, 2017