用简便方法和递等式计算:(1)2005×18-200.5×90+20050×0.1(2)(0.75×2.6×2.7)÷(

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  • (1)2005×18-200.5×90+20050×0.1

    =2005×18-2005×9+2005

    =2005×(18-9+1)

    =2005×10

    =20050

    (2)(0.75×2.6×2.7)÷(0.13×0.25×9)

    =(0.75×0.25)×(2.6×0.13)×(2.7÷9)

    =3×20×0.3

    =18

    (3)(2+3.15+5.87)×(3.15+5.87+7.32)-(2+3.15+5.87+7.32)×(3.15+5.87)

    =2×(3.14+5.87+7.32)+(3.15+5.87)×(3.15+5.87+7.32)-2×(3.15+5.87)-(3.15+5.87+7.32)×(3.15+5.87)

    =2×(3.15+5.87+7.32)-2×(3.15+5.87)

    =2×7.32

    =14.64