This is my personal note which is taken from kaplan blue book
-the contribution of OH- and H+ ions from the dissociation of H2O can be neglected only if the concentration of the acid or base is greater than 10-7.
-For example, the pH of a 1e-8 M HCl may be 8. But a pH of 8 is in the basic range, and
HCl solution is not basic. The discrepancy arises from the fact that at low HCl conc. H+ from the dissociation of water contribute significantly to the total [H+]. Thus, the total concentration of H+ can be calculated from:
Kw = (x + 1e-8)(x) = 1.0e-14 ; where x = [H+] = [OH-] from the dissociation of water molecule
-solving for x gives x = 9.5e-8 M
so, [H+]total = 9.5e-8 + 1e-8 = 1.5e-7 M
and pH = -log (1.05 e-7) = 6.98
But, on the real DAT, would we get question that ask us to include dissociation of water?