What is the least number of digits (including repetitions) needed to express 1.23456789×10200 in decimal notation?

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问题 What is the least number of digits (including repetitions) needed to express 1.23456789×10²⁰⁰ in decimal notation?

选项 A、10
B、3
C、201
D、210
E、2,001

答案C

解析本题的关键点在于许多考生无法正确理解题意，decimal有两个意思：十进制的，小数的。题目中的decimal notation指十进制计数，即通常使用的计数方式如123，1000等。而题目中给出的数字其实是以科学计数法来表达的。所以这道题目考查科学计数法和十进制计数法之间的转换。以十进制计数来表达1.23456789×10²⁰⁰需要最少用多少数字呢?10¹=10需要2个数字，2×10²=200需要3个数字，3.345×10³=3，345需要4个数字，依次类推10200需要201个数字，对于1.23456789×10²⁰⁰来说，1到9共九个数字已经变为整数位上的数字，所以共需要201个数字来表示，C为正确答案。

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What is the least number of digits (including repetitions) needed to express 1.23456789×10200 in decimal notation?

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