数学题3+33+333+.+333...333(1000个)=?

4个回答

  • 3+33+333+.+333...333(1000个)

    = ( 9 + 99 + 999 + ...+ 999...999(1000个) ) / 3

    = (10-1 + 100-1 + 1000-1 + ...+ 1000...000(1000个0)-1 ) /3

    = (111...11110(1000个1) - 1000 ) /3

    = 111...1110110 / 3

    999个1

    = 370370...370(332个370)3370 ---- 3370 = 10110 / 3

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