計算下面各題,能簡便的用簡便運算
(1)143×27+251-342÷3
(2)25×24
(3)(125-30)×40
(4)256×42-256-256×21
(5)632+187+368+223
(6)102×76.
解:
(1)143×27+251-342÷3,
=3861+251-114,
=4112-114,
=3998;
(2)25×24,
=25×(4×6),
=(25×4)×6,
=100×6,
=600;
(3)(125-30)×40,
=125×40-30×40,
=5000-1200,
=3800;
(4)256×42-256-256×21,
=256×(42-1-21),
=256×20,
=5120;
(5)632+187+368+223,
=(632+368)+(187+223),
=1000+410,
=1410;
(6)102×76,
=(100+2)×76,
=100×76+2×76,
=7600+152,
=7752.
分析:(1)先算乘法和除法,再算加法,最后算減法;
(2)24=4×6,再根據(jù)乘法結(jié)合律進行簡算;
(3)根據(jù)乘法分配律進行簡算;
(4)根據(jù)乘法分配律進行簡算;
(5)根據(jù)加法交換律和結(jié)合律進行簡算;
(6)102=100+2,然后再根據(jù)乘法分配律進行簡算.
點評:此題主要考查整數(shù)的四則混合運算的運算順序和應用運算定律進行簡便計算.