解:
(1)157-46-64,
=157-(46+64),
=157-110,
=47;
(2)298+105,
=300+105-2,
=405-2,
=403;
(3)45×18,
=45×(2×9),
=(45×2)×9,
=90×9,
=810;
(4)490÷35,
=490÷(7×5),
=490÷7÷5,
=70÷5,
=14;
(5)175+36+25,
=(175+25)+36,
=200+36,
=236;
(6)490÷35÷2,
=490÷(35×2),
=490÷70,
=7.
分析:(1)連續(xù)減去46與64,等于減去46與64的和;
(2)298接近300,相差2,即加上300減去2即可;
(3)把18拆成2×9,再根據(jù)乘法交換律和結(jié)合律進(jìn)行簡算;
(4)把35拆成7×5,再根據(jù)除以7與5的積,等于連續(xù)除以7與5;
(5)根據(jù)加法交換律和結(jié)合律進(jìn)行簡算;
(6)連續(xù)除以35與2,等于除以35與2的乘積.
點(diǎn)評:用簡便方法計算,使用合適的運(yùn)算定律進(jìn)行簡算,不能直接使用運(yùn)算定律的,要從拆分等方面入手進(jìn)行簡算.