怎样算简便就怎样算.
25×137×40
4200-1934-1066
290×54+29×460
46×102+308.
解:(1)25×137×40,
=25×40×137,
=1000×137,
=137000;
(2)4200-1934-1066,
=4200-(1934+1066),
=4200-3000,
=1200;
(3)290×54+29×460,
=290×54+290×46,
=290×(54+46),
=290×100,
=29000;
(4)46×102+308,
=46×(100+2)+308,
=46×100+46×2+308,
=4600+92+308,
=4600+(92+308),
=4600+400,
=5000.
分析:(1)运用乘法交换律简算;
(2)根据连续减去两个数等于减去这两个数的和简算;
(3)先根据积不变规律把加号左右变成含有相同的因数,再运用乘法分配律简算;
(4)先把102化成100+2,再运用乘法分配律简算,然后再运用加法结合律简算.
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.