(2012•民乐县模拟)计算,能简算的要简算.

1个回答

  • 解题思路:(1)95.6×1.8+0.18×44,根据积的变化规律,将原式转化为95.6×1.8+1.8×4.4,再应用乘法分配律进行简算;

    (2)54.2-[2/9]+4.8-[16/9],根据减法的运算性质,a-b-c=a-(b+c),进行简算;

    (3)([3/29]+[1/13])×13×29,应用乘法分配律进行简算;

    (4)[3/13]×[4/5]+[10/13]×[4/5]-[4/5],应用乘法分配律进行简算.

    (1)95.6×1.8+0.18×44,

    =95.6×1.8+1.8×4.4,

    =(95.6+4.4)×1.8,

    =100×1.8,

    =180;

    (2)54.2-[2/9]+4.8-[16/9],

    =54.2+4.8-([2/9+

    16

    9]),

    =59-2,

    =57;

    (3)([3/29]+[1/13])×13×29,

    =([3/29×13+

    1

    13×13)×29,

    =(

    39

    29+1)×29,

    =

    39

    29×29+29,

    =39+29,

    =68;

    (4)

    3

    13]×[4/5]+[10/13]×[4/5]-[4/5],

    =([3/13+

    10

    13−1)×

    4

    5],

    =0×[4/5],

    =0.

    点评:

    本题考点: 运算定律与简便运算;分数的简便计算.

    考点点评: 此题考查了应用整数的运算定律和运算性质对小数、分数四则混合运算进行简便计算.