题目内容
简算.
(1)93.6×3.6+1.4×3.6
(2)0.25×0.8×0.125×0.4
(3)2.7×1.5-2.7
(4)9.08+5.45+11.92+4.55
(5)1.25×30×1.2×0.8.
解:(1)93.6×3.6+1.4×3.6,
=(93.6+1.4)×3.6,
=95×3.6,
=(100-5)×3.6,
=100×3.6-5×3.6,
=360-18,
=342;
(2)0.25×0.8×0.125×0.4,
=(0.25×0.4)×(0.8×0.125),
=0.1×0.1,
=0.01;
(3)2.7×1.5-2.7,
=2.7×(1.5-1),
=2.7×0.5,
=1.35;
(4)9.08+5.45+11.92+4.55,
=(9.08+11.92)+(5.45+4.55),
=21+10,
=31;
(5)1.25×30×1.2×0.8,
=(1.25×0.8)×(30×1.2),
=1×36,
=36.
分析:(1)两次运用乘法分配律简算;
(2)(5)运用乘法交换律和乘法结合律简算;
(3)运用乘法分配律简算;
(4)运用加法交换律和结合律简算.
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.
=(93.6+1.4)×3.6,
=95×3.6,
=(100-5)×3.6,
=100×3.6-5×3.6,
=360-18,
=342;
(2)0.25×0.8×0.125×0.4,
=(0.25×0.4)×(0.8×0.125),
=0.1×0.1,
=0.01;
(3)2.7×1.5-2.7,
=2.7×(1.5-1),
=2.7×0.5,
=1.35;
(4)9.08+5.45+11.92+4.55,
=(9.08+11.92)+(5.45+4.55),
=21+10,
=31;
(5)1.25×30×1.2×0.8,
=(1.25×0.8)×(30×1.2),
=1×36,
=36.
分析:(1)两次运用乘法分配律简算;
(2)(5)运用乘法交换律和乘法结合律简算;
(3)运用乘法分配律简算;
(4)运用加法交换律和结合律简算.
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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