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.