计算,能简算的要简算.125×32×25101×87-8756×67+33×569+4.98+1.02+21.113.05+12.38-4.0524.52-(7.5

发布时间:2020-08-10 08:53:45

计算,能简算的要简算. 125×32×25101×87-8756×67+33×569+4.98+1.02+21.113.05+12.38-4.0524.52-(7.5+4.52)

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解:(1)125×32×25,
=125×(8×4)×25,
=(125×8)×(4×25),
=1000×100,
=100000;

(2)101×87-87,
=(101-1)×87,
=100×87,
=8700;

(3)56×67+33×56,
=56×(67+33),
=56×100,
=5600;

(4)9+4.98+1.02+21.1,
=(4.98+1.02)+(9+21.1),
=6+30.1,
=36.1;

(5)13.05+12.38-4.05,
=(13.5-4.05)+12.38,
=9+12.38,
=21.38;

(6)24.52-(7.5+4.52),
=24.52-4.52-7.5,
=20-7.5,
=12.5.
解析分析:(1)先把32分解成8×4,再运用乘法结合律简算;
(2)(3)运用乘法分配律简算;
(4)根据加法交换律和结合律简算;
(5)运用加法交换律简算;
(6)根据减法的性质简算.

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.
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