A book has 120 pages numbered l,2,3,and so .A book has 120 pages numbered l,2,3,and so on.How many times does the digit 1 (数字1)appear in the page numbers?A.52 B.53 C.50 D.49

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Abookhas120pagesnumberedl,2,3,andso.Abookhas120pagesnumberedl,2,3,andsoon.Howmanytimesdoesthedigit1(

A book has 120 pages numbered l,2,3,and so .A book has 120 pages numbered l,2,3,and so on.How many times does the digit 1 (数字1)appear in the page numbers?A.52 B.53 C.50 D.49
A book has 120 pages numbered l,2,3,and so .
A book has 120 pages numbered l,2,3,and so on.How many times does the digit 1 (数字1)appear in the page numbers?
A.52 B.53 C.50 D.49

A book has 120 pages numbered l,2,3,and so .A book has 120 pages numbered l,2,3,and so on.How many times does the digit 1 (数字1)appear in the page numbers?A.52 B.53 C.50 D.49
选【A】
首先明确是问的是1出现的次数,则:
【1】一位数出现【1】次,即第一页
【2】两位数:[1]十位是1,(10、11、12、13、14、15、16、17、18、19)出现11个1
[2]个位是1,(1、11、21、31、41、51、61、71、81、91)出现10次1
11算了两次,减去两个1,所以两位数的情况共有:11+10-2=【19】次
【3】三位数:百位肯定为1,十位只能是0和1,
[1]十位是0,(100、101、102、103、104、105、106、107、108、109)出现【11】个1
[2]十位是1,有1×10×1=10次(110、111、112、113、114、115、116、117、118、119)出现【21】个1
最后加起来:1+19+11+21=52

1 10 11 12 13 14 15 16 17 18 19 21 31 41 51 61 71 81 91 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120
总之从1-120里面有多少个1,答案就是了
我算过的是A 52 个,以确定答案,你自己算过一次吧。虽然你...

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1 10 11 12 13 14 15 16 17 18 19 21 31 41 51 61 71 81 91 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120
总之从1-120里面有多少个1,答案就是了
我算过的是A 52 个,以确定答案,你自己算过一次吧。

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