脱式计算,能简算的要简算 22.3-2.45-5.3-4.55[43.3×(2-75%)+7]×.
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解:
(1)22.3-2.45-5.3-4.55,
=(22.3-5.3)-(2.45+4.55),
=17-7,
=10;
(2),
=÷[×],
=÷,
=;
(3)[43.3×(2-75%)+7]×,
=[43.3×1.25+7]×,
=[54.125+7]×,
=61.125×,
=30.5625;
(4),
=,
=,
=45;
(5),
=+,
=;
(6),
=12--,
=12-(+),
=12-2,
=10.
解析分析:(1)根据连减的性质进行计算;
(2)先算加法,再算乘法,最后算除法;
(3)先算减法,再算乘法,再算加法,最后算乘法;
(4)根据乘法分配律进行计算;
(5)先算除法,再算加法;
(6)先算除法,再根据连减的性质进行计算.
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.