解:(1)608+182+92,
=(608+92)+182,
=700+182,
=882;
(2)25×16×125,
=25×2×8×125,
=(25×2)×(8×125),
=50×1000,
=50000;
(3)46×25×4,
=46×(25×4),
=46×100,
=4600;
(4)104×12,
=(100+4)×12,
=100×12+4×12,
=1200+48,
=1248;
(5)510-137-163,
=510-(137+163),
=510-300,
=210;
(6)1700÷5÷20,
=1700÷(5×20),
=1700÷100,
=17.
分析:(1)运用加法交换律简算;
(2)先把16分解成2×8,然后运用乘法结合律简算;
(3)运用乘法结合律简算;
(4)先把104分解成100+4,然后再运用乘法分配律简算;
(5)根据连续减去两个数等于减去这两个数的和简算;
(5)根据连续除以两个数等于除以这两个数的积简算.
点评:运算定律是常用的简便运算的方法,要熟练掌握,灵活运用.