pnichols... words mean things...
'digits' are numerical symbols, i.e; numbers
'place' refers to positional notation, i.e; where the decimal is
hence, a four 'digit' meter suggests it simply shows four numbers, whereas a four 'place' meter suggests a reading to within a ten thousandth, i.e; a display range to within the fourth decimal place.
The link you posted shows a four 'digit', 2 'place' meter.
And yes, tens and hundreds are also "places", to the left of the decimal, but to determine the range and usefulness of a voltage meter, it is necessary to make such a distinction. To market a meter as being accurate to the fourth place, would be misleading, in terms of its range of display, seeing as "to the fourth place" is generally understood, within the language of math, to mean "to the fourth decimal place".
That said, I do understand you said "four place", not "fourth place", but in my mind, I reflexly made the distinction between place and digit.
Hope this clarifies things.