Question

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

Answer 1

`18,011.1 = 18,011+(1)/(10)=18,011+(10)/(100) \\ 18,111.01 = 18,111+(1)/(100) = 18,011+100+(1)/(100)`


`18,111.01 \ \textgreater \ 18,011.1` because
`100+(1)/(100)\ \textgreater \ (10)/(100) \iff 100 \ \textgreater \ 1 \ \textgreater \ (9)/(100)`.