To find the smallest decimal, compare place values from left to right: ones, tenths, hundredths, thousandths.

Numbers	=	1.7000, 1.1170, 1.0700, 0.7117
Compare ones: 1, 1, 1, 0. 0 is the smallest, so 0.7117 is the smallest number.
Smallest	=	0.7117