(2004•惠山区)递等式计算.(能简算的要简算,并写出主要的简算过程)

1个回答

  • 解题思路:①运用乘法交换律和结合律进行简算,4与2.5,0.8与12.5结合;

    ②注意运算顺序即可;

    ③注意运算顺序,在计算3.9×4.6时,变为(4-0.1)×4.6较简便;

    ④运用乘法分配律的逆运算进行简算.

    ①4×0.8×2.5×12.5,

    =(4×2.5)×(0.8×12.5),

    =10×10,

    =100;

    ②[2/15]÷[1-([1/5]+[1/3])],

    =[2/15÷[1-

    8

    15]],

    =[2/15]÷[7/15],

    =[2/15×

    15

    7],

    =[2/7];

    ③(2.8+3.85÷3.5)×4.6,

    =(2.8+1.1)×4.6,

    =3.9×4.6,

    =(4-0.1)×4.6,

    =4×4.6-0.1×4.6,

    =18.4-0.46,

    =17.94;

    ④6.5×1.83+0.17×6.5,

    =(1.83+0.17)×6.5,

    =2×6.5,

    =13.

    点评:

    本题考点: 小数四则混合运算;运算定律与简便运算;分数的简便计算;分数的四则混合运算.

    考点点评: 此题考查了学生对运算顺序和运算定律的掌握情况.