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cavemansponge cavemansponge
  • 01-07-2016
  • Mathematics
Answered

Compare the decimals 18,011.1 and 18,111.01.


Which comparison is correct?


A.

18,011.1 > 18,111.01


B.

18,011.1 < 18,111.01


C.

18,011.1 = 18,111.01

Verified Answer :

NiedzielnyMatematyk NiedzielnyMatematyk
  • 03-07-2016

\(18,011.1 = 18,011+\frac{1}{10}=18,011+\frac{10}{100} \\ 18,111.01 = 18,111+\frac{1}{100} = 18,011+100+\frac{1}{100}\)

\(18,111.01 \ \textgreater \ 18,011.1\) because \(100+\frac{1}{100}\ \textgreater \ \frac{10}{100} \iff 100 \ \textgreater \ 1 \ \textgreater \ \frac{9}{100}\).

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