This question is a dilution problem. In order to prepare a certain concentration and volume from a stock solution, you have to use the equation,
M1V1 = M2V2
From the equation, you need to calculate the volume you need from the stock solution to be able to have the diluted concentration then dilute it to a certain volume.
(1.0 M) (V1) = (0.1 M) (100 mL)
V1 = 0.1 mL is needed from the 1.0 M HCl solution