0

It is well known that $0.0\dot9=0.1$ and we say $0.1$ is finite decimal. And $0.0\dot9$ is a repeating decimal.

This is concluded that $\text{finite decimal } = \text{ infinite decimal}$ which is a contradiction.

How is this possible?

Alessio K
  • 10,599
TCLee
  • 37
  • 3
    It is only a statement about the notation of the numbers. Not about the number(s) itself. It is legal to have different notations of the same thing. Your equality sign is misplaced here. – drhab Aug 19 '20 at 13:34
  • 1
    $0.1 = 0.1 \dot0$ – halrankard Aug 19 '20 at 13:45
  • 3
    The "Morning star" is the planet Venus. The "Evening star" is planet venus. Therfore, morning = evening, contradiction – Hagen von Eitzen Aug 19 '20 at 13:50

1 Answers1

1

$$0.09999999999\cdots=0.10000000000\cdots$$

Contradiction ?

  • No that's not a contradiction but 'finite decimal = infinite decimal' this was a contradiction. equality sign was misplaced.. – TCLee Aug 19 '20 at 13:48