题目内容

怎样简便就怎样计算
0.75×4×0.25×49.6+9.6×9915.58÷8.2-0.722.8×3.6+1.4×2.86.3×10.1.

解:(1)0.75×4×0.25×4,
=(0.75×4)×(0.25×4),
=3×1,
=3;

(2)9.6+9.6×99,
=9.6×(1+99),
=9.6×100,
=960;

(3)15.58÷8.2-0.72,
=1.9-0.72,
=1.18;

(4)2.8×3.6+1.4×2.8,
=2.8×(3.6+1.4),
=2.8×5,
=14;

(5)6.3×10.1,
=6.3×(10+0.1),
=6.3×10+6.3×0.1,
=63+0.63,
=63.63.
分析:(1)运用乘法结合律简算;
(2)(4)运用乘法分配律简算;
(3)先算除法,再算减法;
(5)先把10.1分解成10+0.1,再运用乘法分配律简算.
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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