簡便運算
(1)425+636+575+214
(2)125×3×80
(3)5×44×25
(4)123×67-123+123×34.
解:(1)425+636+575+214,
=(425+575)+(636+214),
=1000+850,
=1850;
(2)125×3×80,
=125×80×3,
=10000×3,
=30000;
(3)5×44×25,
=(5×11)×(4×25),
=55×100,
=5500;
(4)123×67-123+123×34,
=123×(67-1+34),
=123×100,
=12300.
分析:(1)根據(jù)加法交換律、結合律簡算;
(2)根據(jù)乘法交換律簡算;
(3)把44拆為11×4,再利用乘法結合律簡算;
(4)根據(jù)乘法分配律簡算即可.
點評:在運用運算定律進行簡便計算的時候,可先根據(jù)式中數(shù)據(jù)的特點及式中數(shù)據(jù)進行拆分后再運用運算定律進行計算.