The main reason I was given for using the entire number was that there is much less possibility of confusing the book guy (or hot mom). If you say the individual digits, there's the chance they might hear only the first one and give the foul to a kid with a single number. The real only chance that might happen if you use the entire number is when you report number 14 (assuming the teams are using only legal numbers). I guess if you use the entire number, there's still a (very) small chance they might only hear, for instance, "thirty" when you say "thirty one" and give the foul to number thirty, but that's a long shot.
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Yom HaShoah
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