计算下面各题,能简算的要简算.①0.65×101 ②76.43-5.33-4.67 ③3.4÷[7.8-(3.9+2.2

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  • 解题思路:①0.65×101,应把101拆成(100+1);

    ②76.43-5.33-4.67,应用减法的性质把此式变为76.43-(5.33+4.67);

    ③3.4÷[7.8-(3.9+2.2)],不能简算,按运算顺序进行;

    ④13.7÷12.5÷0.8,应用除法的性质,把原式变为

    13.7÷(12.5×0.8);

    ⑤3.25×8.4+6.75×8.4,应用乘法分配律的逆运算进行简算;

    ⑥[1.4×2-(0.65+0.55)]÷40,按运算顺序进行计算.

    ①0.65×101,

    =0.65×(100+1),

    =0.65×100+0.65,

    =65+0.65,

    =65.65;

    ②76.43-5.33-4.67,

    =76.43-(5.33+4.67),

    =76.43-10,

    =66.43;

    ③3.4÷[7.8-(3.9+2.2)],

    =3.4÷[7.8-6.1],

    =3.4÷1.7,

    =2;

    ④13.7÷12.5÷0.8,

    =13.7÷(12.5×0.8),

    =13.7÷10,

    =1.37;

    ⑤3.25×8.4+6.75×8.4,

    =(3.25+6.75)×8.4,

    =10×8.4,

    =84;

    ⑥[1.4×2-(0.65+0.55)]÷40,

    =[2.8-1.2]÷40,

    =1.6÷40,

    =0.04.

    点评:

    本题考点: 小数四则混合运算;运算定律与简便运算.

    考点点评: 此题重点考查学生的运算定律及其运算顺序,特别注意减法和除法性质的运用,即a-b-c=a-(b+c);a÷b÷c=a÷(b×c).