Question

Compare the decimals 18,011.1 and 18,111.01.

Answer 1

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

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