About: Proof:The Decimal 0.999... is Equivalent to 1   Sponge Permalink

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Therefore: Likewise: Multiplying each side by 9 we obtain: QED The only refutation this example proof has is that which questions whether or not . Both one-third as an infinitely repeating set of three's and one as an infinitely repeating set of nine's are equally exact, and both must be taken on a little bit of faith. 1/3 being equivalent to a repeating threes rarely ever questioned, but is the same reasoning phenomenon - the same paradox. If one-third and one-ninth in decimal form are taken without question to be equal to their fractional counterparts, then why cant one as a decimal of nines?

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  • Proof:The Decimal 0.999... is Equivalent to 1
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  • Therefore: Likewise: Multiplying each side by 9 we obtain: QED The only refutation this example proof has is that which questions whether or not . Both one-third as an infinitely repeating set of three's and one as an infinitely repeating set of nine's are equally exact, and both must be taken on a little bit of faith. 1/3 being equivalent to a repeating threes rarely ever questioned, but is the same reasoning phenomenon - the same paradox. If one-third and one-ninth in decimal form are taken without question to be equal to their fractional counterparts, then why cant one as a decimal of nines?
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  • Therefore: Likewise: Multiplying each side by 9 we obtain: QED The only refutation this example proof has is that which questions whether or not . Both one-third as an infinitely repeating set of three's and one as an infinitely repeating set of nine's are equally exact, and both must be taken on a little bit of faith. 1/3 being equivalent to a repeating threes rarely ever questioned, but is the same reasoning phenomenon - the same paradox. If one-third and one-ninth in decimal form are taken without question to be equal to their fractional counterparts, then why cant one as a decimal of nines?
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