To prepare the diluted solution we can use the following formula
Molarity = (weight of the IPTG/M.Wt of IPTG) * 1000/V(in mL)
0.1M = (weight of the IPTG/238.31g/mol) * (1000/10mL)
Therefore weight of the IPTG = 0.1mol/L * 238.31g/mol * 10mL/1000
= 0.23831g can be diluted to prepare 10mL solution.