计算下列各题能简算的要简算. 3.45×6.8+65.5×0.68 [6+([6/7]-[1/3])×[7/11]]÷9

1个回答

  • 解题思路:(1)根据乘法分配律进行计算;

    (2)先算减法,再算乘法,再算加法,最后算除法;

    (3)根据乘法分配律进行计算;

    (4)根据连减的性质进行计算;

    (5)根据分数的拆项进行计算.

    (1)3.45×6.8+65.5×0.68,

    =3.45×6.8+6.55×6.8,

    =(3.45+6.55)×6.8,

    =10×6.8,

    =68;

    (2)[6+([6/7]-[1/3])×[7/11]]÷95%,

    =[6+[11/21]×[7/11]]÷95%,

    =[6+[1/3]]÷95%,

    =6[1/3]÷95%,

    =[20/3];

    (3)99×2004-98×2005,

    =99×(2005-1)-98×2005,

    =99×2005-99-98×2005,

    =99×2005-98×2005-99,

    =(99-98)×2005-99,

    =2005-99,

    =1906;

    (4)1-[1/10]-[1/100]-[1/1000]-…-[1/10000000000],

    =1-([1/10]+[1/100]+[1/1000]+…+[1/10000000000]),

    =1-(0.1+0.01+0.01+…+0.0000000001),

    =1-0.1111111111,

    =0.8888888889;

    (5)[1/2]+[1/6]+[1/12]+[1/20]+[1/30]+[1/42],

    =[1/1×2]+[1/2×3]+[1/3×4]+[1/4×5]+[1/5×6]+[1/6×7],

    =1-

    1

    点评:

    本题考点: 分数的巧算;运算定律与简便运算.

    考点点评: 根据题意,先弄清运算顺序,然后再进行计算;能简算的要简算.