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例1 近似数1.0×10~5精确到哪一位?有几个有效数字? 错解:1.0×10~5精确到十分位.1.0×10~5=100000,有六个有效数字,分别是:1,0,0,0,0, 0. 分析与解:在判断用科学记数法表示的近似数精确到哪一位时,应先展开,再判断,如本题 先将1.0×10~5展开,然后看“1.0”中的0在展开中是哪一位.因1.0×10~5=100000,“1.0”中的0 在万位上,所以1.0×10~5精确到万位.对于科学记数法表示的数 a×10~n,a 有几个有效数字,就 是 a×10~n 有几个有效数字.如:1.0×10~5,只看1.0即可知近似数1.0×10~5有两个有效数字1,
Example 1 What is the approximate number of 1.0 x 10~5? There are several significant figures? The wrong answer: 1.0 x 10~5 is accurate to tenth. 1.0 × 10 ~ 5 = 100000, there are six significant figures, namely: 1,0,0,0,0, 0. Analyze and solve: When judging where the approximate number represented by the scientific notation is accurate, it should be expanded first, and then judged. If this question is first expanded by 1.0×10~5, then look at “1.0”. Which of the 0’s in the unfolding is. Since 1.0×10~5=100000, 0 in “1.0” is in 10,000, so 1.0×10~5 is accurate to 10,000. For the number represented by the scientific notation a×10~n, a has several significant figures, that is, a×10~n has several significant figures. Such as: 1.0 × 10 ~ 5, just look at 1.0 to know that the approximate number of 1.0 × 10 ~ 5 has two significant figures 1,