计算下面各题,能简便的就简便. 5.5×17.3+6.7×5.51.5×1059.07-22.78÷3.44×3.09×0.250.26×2.5+0.74×2.5+2.518.09-7.5×(0.14+1.06)
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解:(1)5.5×17.3+6.7×5.5,
=5.5×(17.3+6.7),
=5.5×24,
=132;
(2)1.5×105,
=1.5×(100+5),
=1.5×100+1.5×5,
=150+7.5,
=157.5;
(3)9.07-22.78÷3.4,
=9.07-6.7,
=2.37;
(4)4×3.09×0.25,
=4×0.25×3.09,
=1×3.09,
=3.09;
(5)0.26×2.5+0.74×2.5+2.5,
=(0.26+0.74+1)×2.5,
=2×2.5,
=5;
(6)18.09-7.5×(0.14+1.06),
=18.09-7.5×1.2,
=18.09-9,
=9.09.
解析分析:(1)(5)运用乘法分配律简算;
(2)先把105分解成100+5,再运用乘法分配律简算;
(3)先算除法,再算减法;
(4)运用乘法交换律简算;
(6)先算小括号里面的加法,再算括号外的乘法,最后算减法.
点评:此题是考查四则混合运算,要仔细观察算式的特点,灵活运用一些定律进行简便计算.