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1952 AMC 12 Question 42

AMC12 · 1952 AMC 12

Question 42

Let $D$ represent a repeating decimal. If $P$ denotes the $r$ figures of $D$ which do not repeat themselves, and $Q$ denotes the $s$ figures which do repeat themselves, then the incorrect expression is:
  1. $D=0.PQQQ\ldots$
  2. $10^rD=P.QQQ\ldots$
  3. $10^{r+s}D=PQ.QQQ\ldots$
  4. $10^r(10^s-1)D=Q(P-1)$
  5. $10^r\cdot10^{2s}D=$ $PQQ.QQQ\ldots$