数学题:ABCD乘9等于DCBA,问ABCD各是数字几

  • 时间:2020-05-12 13:38:15
  • 分类:数学世界
  • 阅读:128 次

难倒家长的数学题:如下图中的竖式:ABCD乘9等于DCBA,问ABCD各是数字几?这是三年级下学期的一道数学题,很多三年级的家长都被难住了,你被难住了吗?

ABCD乘9等于DCBA

数学题解答

方法是寻找突破口,逐个击破。由竖式中积仍然是四位数,可以确定第一个因数的最高位上是1,所以积的末位上也是1。即A是1。

由口诀“九九八十一”可知,第一个因数的末位上是9,所以积的最高位上也是9。即D是9。

因为A是1,而B与9相乘不能超过10,不然会导致向千位进位,使积成为五位数,且A与B不能相同,所以B只能是0。

最后可算出C为8。所以这个算式谜解出来就是:1089×9=9801。

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