能简算的用简便方法算.2.5×3.4×0.4 8.24-2.68-1.32 6.5×2.3+6.5×6.7+6.5 7.

1个回答

  • 解题思路:(1)2.5×3.4×0.4,利用乘法交换律和结合律;(2)8.24-2.68-1.32,利用减法的性质以及加法结合律;

    (3)6.5×2.3+6.5×6.7+6.5,利用乘法分配的逆运算;(4)7.8÷0.25÷4,利用除法的性质,变为7.8÷(0.25×4);

    (5)1.37×99,把99拆成(100-1),然后再与1.37相乘;(6)2.5×32×1.25,把32拆成4×8,然后利用乘法结合律凑成整数进行简算.

    (1)2.5×3.4×0.4,

    =2.5×0.4×3.4,

    =1×3.4,

    =3.4;

    (2)8.24-2.68-1.32,

    =8.24-(2.68+1.32),

    =8.24-4,

    =4.24;

    (3)6.5×2.3+6.5×6.7+6.5,

    =(2.3+6.7+1)×6.5,

    =10×6.5,

    =65;

    (4)7.8÷0.25÷4,

    =7.8÷(0.25×4),

    =7.8×1,

    =7.8;

    (5)1.37×99,

    =1.37×(100-1),

    =1.37×100-1.37,

    =137-1.37,

    =137-1-0.37,

    =135.63;

    (6)2.5×32×1.25,

    =2.5×4×8×1.25,

    =(2.5×4)×(8×1.25),

    =10×10,

    =100.

    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: 此题重点考查学生对运算定律的运用掌握情况,以及运算能力.特别应注意在6.5×2.3+6.5×6.7+6.5中,最后一个6.5实际上是6.5×1.