One of the strangest quirks in mathematics appears when you calculate 1 ÷ 998,001.
The resulting decimal seems to list every three-digit number in order: 001, 002, 003, and so on. But when the sequence reaches the end, something odd happens: 998 never appears.
The reason is a cascading carry. After 999 comes 1,000, but the decimal is arranged in three-digit blocks. The extra digit from 1,000 spills into the block to its left, turning 999 into 1,000 and triggering another carry. That second carry reaches the block containing 998 and increases it to 999.
In the final decimal, the original 998 has been replaced by 999, while the 999 block becomes 000. The result is a sequence that appears to jump straight from 997 to 999, making 998 seem to vanish entirely.
It's not a mistake or a coincidence—just an unusual consequence of how carrying works in long decimal expansions.
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