百度作业网数学题3+33+333+.+333...333（1000个）=?
来源：学生作业帮 编辑：百度作业网作业帮 分类：数学作业 时间：2024/05/03 01:03:44
数学题3+33+333+.+333...333（1000个）=?
1/2×3/4×5/6×11×99/100=?
1/2×3/4×5/6×.×99/100=?
1/2×3/4×5/6×11×99/100=?
1/2×3/4×5/6×.×99/100=?
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
---------------------------------------------------------
= ( 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
---------------------------------------------------------