一个数省略“亿”位后面的尾数的近似值是8亿,这个数最大是多少?最小是多少?它们相差多少?

2025-04-07 11:57:39
推荐回答(1个)
回答1:

该数最大可为 8 4999 9999,该数最小可为 7 5000 0000,

两者相差8 4999 9999-7 5000 0000=9999 9999.

四舍五入(一种精确度的计数保留法)

四舍五入是一种精确度的计数保留法,与其他方法本质相同。但特殊之处在于,采用四舍五入,能使被保留部分的与实际值差值不超过最后一位数量级的二分之一:假如0~9等概率出现的话,对大量的被保留数据,这种保留法的误差总和是最小的。这也是我们使用这种方法为基本保留法的原因。

解析

根据四舍五入原则,精确到亿位为八亿的最大数应当“四舍”,在千万位应该为4,其余位取最大个位数9。若8 4999 9999加一,精确到亿位时为九亿。相反精确到亿位时为八亿最小的数应当是亿位为7,向亿位“五入”时。即千万位为5,其他位数为最小的个位数0。

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