69.87-6.25-(29.87+3.75).
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解:
(1),
=,
=-,
=;
(2),
=,
=(999+)+(99+)+(9+),
=1000+100+10,
=1110;
(3)69.87-6.25-(29.87+3.75),
=69.87-6.25-29.87-3.75,
=(69.87-29.87)-(6.25+3.75),
=40-10,
=30;
(4),
=0.05×[10.6÷5.3],
=0.05×2,
=0.1;
(5),
=24×+×+×,
=9+×(+),
=9+×1,
=9;
(6),
=+++,
=(1-)+(-)+(-)+(-),
=1-+-+-+-,
=1-,
=.
解析分析:(1)先算加法,再算除法,最后算减法;
(2)=++,再根据加法交换律和结合律进行计算;
(3)根据加法交换律和结合律以及减法的性质进行计算;
(4)先算加法,再算除法,最后算乘法;
(5)根据乘法分配律进行计算;
(6)根据分数的拆项进行计算.
点评:此题主要考查分数、小数的四则混合运算的运算顺序和应用运算定律进行简便计算.