(1)175-28-72
(2)786-(158+286)
(3)49+58+42+51
(4)72720÷9÷8
(5)2000÷125÷8
(6)125×104-500.
解:(1)175-28-72,
=175-(28+72),
=175-100,
=75;
(2)786-(158+286),
=786-286-158,
=500-158,
=342;
(3)49+58+42+51,
=(49+51)+(58+42),
=100+100,
=200;
(4)72720÷9÷8,
=72720÷(9×8),
=72720÷72,
=1010;
(5)2000÷125÷8,
=2000÷(125×8),
=2000÷1000,
=2;
(6)125×104-500,
=125×104-125×4,
=125×(104-4),
=125×100,
=12500.
分析:(1)175-28-72,運用減法的運算性質簡算;
(2)786-(158+286),運用減法的運算性質簡算;
(3)49+58+42+51,運用加法交換律和結合律進行簡算;
(4)72720÷9÷8,運用除法的運算性質進行簡算;
(5)2000÷125÷8,運用除法的運算性質進行簡算;
(6)125×104-500,將原式轉化為:125×104-125×4,運用乘法分配律進行簡算.
點評:此題考查的目的理解掌握加法、乘法的運算定律和減法、除法的運算性質,并且能夠靈活運用這些運算定律和運算性質進行簡便計算.