用你喜欢的方法计算. 2.9+2.9×(2.9-2.9)1.21×42-(4.46+0.14)[1-(-)〕×5.25×104(+)×451375+450÷18×25.
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解:(1)2.9+2.9×(2.9-2.9),
=2.9+2.9×0,
=2.9;
(2)1.21×42-(4.46+0.14),
=50.82-4.6,
=46.22;
(3)[1-(-)]×,
=[1-]×,
=×,
=;
(4)5.25×104,
=5.25×(100+4),
=525+5.25×4,
=525+(5+0.25)×4,
=525+20+1,
=546;
(5)(+)×45,
=×45+×45,
=30+6,
=36;
(6)1375+450÷18×25,
=1375+25×25,
=1375+625,
=2000.
解析分析:(1)因为括号内的结果为0,所以,原式最后得数为2.9;(2)先算乘法和括号内的,再算减法;(3)先算小括号内的,再算中括号内的,最后算括号外的;(4)把104看作100+4,运用乘法分配律简算为525+5.25×4,再把5.25看作5+0.25,再次运用乘法分配律简算;(5)运用乘法分配律简算;(6)先算除法和乘法,再算加法.
点评:此题考查了整数、小数、分数的四则混合运算,注意运算顺序和运算法则,灵活运用所学的运算律简便计算.