五个5,加减乘除四个符号 结果要等于4,四个符号不能重复
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解决时间 2021-02-08 21:12
- 提问者网友:献世佛
- 2021-02-08 09:29
五个5,加减乘除四个符号 结果要等于4,四个符号不能重复
最佳答案
- 五星知识达人网友:摆渡翁
- 2021-02-08 09:42
4种运算各用1次,所以任何2个5之间都必须填上1个运算符,不会出现55,555的情况。
按照实际计算的顺序,【相当于计算机计算时的顺序,也就是去掉括号后的计算顺序】,4个运算符只有4!= 4*3*2*1 = 24种。
因此,
5个5加减乘除各用1次,至多只有24个不同的结果。
下面列出这24种情形,
5+5 = 10, 10 - 5 = 5, 5*5 = 25, 25/5 = 5 [+-*/]
5+5 = 10, 10 - 5 = 5, 5/5 = 1, 1*5 = 5 [+--]
5+5 = 10, 10/5 = 2, 2-5 = -8, -8*5 = -40 [+/-*]
5+5 = 10, 10/5 = 2, 2*5 = 10, 10 - 5 = 5 [+]
5 - 5 = 0, 0 + 5 = 5, 5/5 = 1, 1*5 = 5 [-++]
5 - 5 = 0, 0/5 = 0, 0 + 5 = 5, 5*5 = 25 [-/+*]
5 - 5 = 0, 0/5 = 0, 0*5 = 0, 0 + 5 = 5 [-+-]
5*5 = 25, 25/5 = 5, 5-5 = 0, 0 + 5 = 5 [*/-+]
5/5 = 1, 1+5 = 6, 6 - 5 = 1, 1*5 = 5 [/+-*]
5/5 = 1, 1+5 = 6, 6*5 = 30, 30 - 5 = 25 [/+*-]
5/5 = 1, 1-5 = -4, -4+5 = 1, 1*5 = 5 [/-+*]
5/5 = 1, 1-5 = -4, -4*5 =-20,-20+5 = -15 [/-*+]
5/5 = 1, 1*5 = 5, 5 + 5 = 10, 10 - 5 = 5 [/*+-]
5/5 = 1, 1*5 = 5, 5 - 5 = 0, 0 + 5 = 5 [/*-+]
因为上面24个结果中没有4,
所以,
5个5加减乘除各用一次怎么也不可能等于4。
按照实际计算的顺序,【相当于计算机计算时的顺序,也就是去掉括号后的计算顺序】,4个运算符只有4!= 4*3*2*1 = 24种。
因此,
5个5加减乘除各用1次,至多只有24个不同的结果。
下面列出这24种情形,
5+5 = 10, 10 - 5 = 5, 5*5 = 25, 25/5 = 5 [+-*/]
5+5 = 10, 10 - 5 = 5, 5/5 = 1, 1*5 = 5 [+--]
5+5 = 10, 10/5 = 2, 2-5 = -8, -8*5 = -40 [+/-*]
5+5 = 10, 10/5 = 2, 2*5 = 10, 10 - 5 = 5 [+]
5 - 5 = 0, 0 + 5 = 5, 5/5 = 1, 1*5 = 5 [-++]
5 - 5 = 0, 0/5 = 0, 0 + 5 = 5, 5*5 = 25 [-/+*]
5 - 5 = 0, 0/5 = 0, 0*5 = 0, 0 + 5 = 5 [-+-]
5*5 = 25, 25/5 = 5, 5-5 = 0, 0 + 5 = 5 [*/-+]
5/5 = 1, 1+5 = 6, 6 - 5 = 1, 1*5 = 5 [/+-*]
5/5 = 1, 1+5 = 6, 6*5 = 30, 30 - 5 = 25 [/+*-]
5/5 = 1, 1-5 = -4, -4+5 = 1, 1*5 = 5 [/-+*]
5/5 = 1, 1-5 = -4, -4*5 =-20,-20+5 = -15 [/-*+]
5/5 = 1, 1*5 = 5, 5 + 5 = 10, 10 - 5 = 5 [/*+-]
5/5 = 1, 1*5 = 5, 5 - 5 = 0, 0 + 5 = 5 [/*-+]
因为上面24个结果中没有4,
所以,
5个5加减乘除各用一次怎么也不可能等于4。
全部回答
- 1楼网友:低音帝王
- 2021-02-08 10:18
99+9/9=100
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