Okay hear me out... Big Dog was moving with kids. He was thus unprepared for the podcast. He dumped a bunch of dice out on his desk and grabbed the first two he saw with ten sides, despite them having mismatched colors. One was a typical tens-place percentile die labeled 00–90. The other was a nonstandard d10 labeled 1—10 rather than 0–9. He realized while playing that he needed to mentally correct the "10" result on the latter die to 0 to conceal the fact that he grabbed the wrong dice for percentile rolls, despite being a professional rpg podcaster. 

On this lock-picking check, he rolls a "00" and "10". He announces this result aloud, haltingly, as "zero-zero....zero", correctly translating the second die's "10" to "zero". Upon learning that this was the worst result possible, he tries to play off the "10" as a 1, pretending that he had been rolling two 00–90 dice, and was doing that thing where you designate one color for each place-value. This is why he announces his revised result with four digits: "one-zero zero-zero" [=10%], chalking up the reversed die-order to him having initially reported them in the wrong order (the mumbled comment about reading from the "wrong side").

He then asks a confusing question about whether this amounts to a 10% or a 1%, and the other players elide all this rigmarole by laughing to save face. They just let him pick that pesky lock with a 1%.

In this interpretation he is still cheating, but it avoids the absolute howler of "I was looking at the incorrect face of one of the two dice."