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When the Titanic had its maiden voyage in $1912$, it was the largest ship afloat. It weighed $52,310$ tons. What was its approximate weight written in scientific notation?$\newline$Choices:$\newline$(A) $5 \times 10^{-4}$ tons$\newline$(B) $5 \times 10^{5}$ tons$\newline$(C) $5 \times 10^{4}$ tons$\newline$(D) $5 \times 10^{-5}$ tons