一道简算题~(0.1+0.12+0.123+0.1234)×(0.12+0.123+0.1234+0.12345)-(0.1+0.12+0.123+0.1234+0.12345)×(0.12+0.123+0.1234)
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/18 12:36:31
![一道简算题~(0.1+0.12+0.123+0.1234)×(0.12+0.123+0.1234+0.12345)-(0.1+0.12+0.123+0.1234+0.12345)×(0.12+0.123+0.1234)](/uploads/image/z/338015-47-5.jpg?t=%E4%B8%80%E9%81%93%E7%AE%80%E7%AE%97%E9%A2%98%7E%EF%BC%880.1%2B0.12%2B0.123%2B0.1234%EF%BC%89%C3%97%EF%BC%880.12%2B0.123%2B0.1234%2B0.12345%EF%BC%89-%EF%BC%880.1%2B0.12%2B0.123%2B0.1234%2B0.12345%EF%BC%89%C3%97%EF%BC%880.12%2B0.123%2B0.1234%EF%BC%89)
一道简算题~(0.1+0.12+0.123+0.1234)×(0.12+0.123+0.1234+0.12345)-(0.1+0.12+0.123+0.1234+0.12345)×(0.12+0.123+0.1234)
一道简算题~
(0.1+0.12+0.123+0.1234)×(0.12+0.123+0.1234+0.12345)-(0.1+0.12+0.123+0.1234+0.12345)×(0.12+0.123+0.1234)
一道简算题~(0.1+0.12+0.123+0.1234)×(0.12+0.123+0.1234+0.12345)-(0.1+0.12+0.123+0.1234+0.12345)×(0.12+0.123+0.1234)
(0.1+0.12+0.123+0.1234)×(0.12+0.123+0.1234+0.12345)-(0.1+0.12+0.123+0.1234+0.12345)×(0.12+0.123+0.1234)
设(0.12+0.123+0.123)为A
则 原式=(0.1+A)*(A+0.12345)-(A+0.1+0.12345)*A
=(A*A+A*0.12345+0.1*0.12345+0.1*A)-(A*A+A*0.1+A*0.12345)
=0.1*0.12345
=0.012345
原式=0.012345
为:
(0.1+0.12+0.123+0.1234)×(0.12+0.123+0.1234+0.12345)-(0.12+0.123+0.12340.12345)×(0.12+0.123+0.1234)+0.1×(0.12+0.123+0.1234)
等于0.1×(0.12+0.123+0.1234)