(1+0.23+0.34)×(0.23+0.34+0.65)-(1+0.23+0.34+0.65)×(0.23+0.34)的巧算

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(1+0.23+0.34)×(0.23+0.34+0.65)-(1+0.23+0.34+0.65)×(0.23+0.34)的巧算

(1+0.23+0.34)×(0.23+0.34+0.65)-(1+0.23+0.34+0.65)×(0.23+0.34)的巧算
(1+0.23+0.34)×(0.23+0.34+0.65)-(1+0.23+0.34+0.65)×(0.23+0.34)的巧算

(1+0.23+0.34)×(0.23+0.34+0.65)-(1+0.23+0.34+0.65)×(0.23+0.34)的巧算
(1+0.23+0.34)×(0.23+0.34+0.65)-(1+0.23+0.34+0.65)×(0.23+0.34)
=(0.23+0.34+0.65)+(0.23+0.34)×(0.23+0.34+0.65)-(0.23+0.34)-(0.23+0.34+0.65)×(0.23+0.34)
=0.23+0.34+0.65-0.23-0.34
=0.65

=(1+0.23+0.34)x(0.23+0.34)+(1+0.23+0.34)x0.65-(1+0.23+0.34)x(0.23+0.24)
-0.65x(0.23+0.34)
=0.65+(0.23+0.34)x0.65-0.65x(0.23+0.34)
=0.65

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设A=0.23+0.34,B=0.23+0.34+0.65

原式
=(1+A)×B-(1+B)×A
=B+AB-A-AB
=B-A
=0.23+0.34+0.65-0.23-0.34
=0.65