(0.12+0.23+0.34)×(0.23+0.34+0.45)-(0.12+0.23+0.34+0.45)×(0.2
2个回答

解题思路:通过观察,此题数字有一定特点,可用设数法解答,假设A=0.12+0.23+0.34,B=0.23+0.34.原式变为A×(B+0.45)-(A+0.45)×B=0.45×(A-B),把A=0.12+0.23+0.34,B=0.23+0.34代入上式,化简即可.

假设A=0.12+0.23+0.34,B=0.23+0.34

原式=A×(B+0.45)-(A+0.45)×B,

=AB+0.45A-AB-0.45B,

=0.45×(A-B);

把A=0.12+0.23+0.34,与B=0.23+0.34代入上式得:

0.45×(0.12+0.23+0.34-0.23-0.34),

=0.45×0.12,

=0.054.

点评:

本题考点: 四则混合运算中的巧算.

考点点评: 此题根据数字特点,采用设数法解答,比较简便.