下面各题,怎样简便就怎样算.
(1)2.15+8.73+1.27+7.85(2)11.87-(8.2+1.87)(3)5.42-3.87-1.13(3)4.38-1.56+0.62-0.44(4)0.4×270×2.(6)(40+1.25)×8(7)(12.5-0.05)×8?(8)2.6×8.5+8.5×7.4(9)9.9×6.9-6.9×3.9(10)5.6×99+5.6?(11)2.5×(1.9+1.9+1.9+1.9)(12)7.2÷1.25÷8.
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解:(1)2.15+8.73+1.27+7.85
=(2.15+7.85)+(8.73+1.27),
=10+10,
=20;
(2)11.87-(8.2+1.87),
=11.87-1.87-8.2,
=10-8.2,
=1.8;
(3)5.42-3.87-1.13,
=5.42-5,
=0.42;(4)4.38-1.56+0.62-0.44,
=(4.38+0.62)-(1.56+0.44),
=5-2,
=3;(5)0.4×270×2.5,
=(0.4×2.5)×270,
=270;
(6)(40+1.25)×8,
=40×8+1.25×8,
=320+10,
=330;
(7)(12.5-0.05)×8,
=12.5×8-0.05×8,
=100-0.4,
=99.6;
(8)2.6×8.5+8.5×7.4,
=(2.6+7.4)×8.5,
=85;
(9)9.9×6.9-6.9×3.9,
=(9.9-3.9)×6.9,
=6×6.9,
=41.4;
(10)5.6×99+5.6,
=5.6×(99+1),
=560;
(11)2.5×(1.9+1.9+1.9+1.9),
=2.5×4×1.9,
=10×1.9,
=19;
(12)7.2÷1.25÷8,
=7.2÷8÷1.25,
=0.9÷1.25,
=0.72.
解析分析:充分利用运用加法交换律、结合律;乘法交换律、结合律、分配律;减法的运算规律;除法的运算规律进行简算.
点评:此题考查利用运算定律简算整数、小数的四则混合运算.