One of the worries that one has about chiral extrapolations of observables in three-flavor QCD is the slow convergence of its chiral expansion. We realized that the chiral extrapolation of the matrix elements of strange quark operators in the nucleon could be performed with two-flavor-QCD, which demonstrates dramatically better convergence properties than its three flavor counterpart. By including the strange quark operators as singlets in the SU(2) chiral Lagrangian, one can determine the long-distance contributions to the strong matrix elements arising from pion loops. In many cases, these contributions are formally two-loop processes in the three-flavor chiral Lagrangian.