计算,怎样简便就怎样算
(1)315×156×38
(2)252528×4
(3)710÷10+710
(4)( 29+227 )×27
(5)157×5.6+45
(6)35×1310×31721.
解:(1)315×156×38,
=315×156×2×19,
=315×2×156×19,
=630×156×19,
=98280×19,
=1867320;
(2)252528×4,
=(250000+2500+20+8)×4,
=250000×4+2500×4+20×4+8×4,
=1000000+10000+80+32,
=1010112;
(3)710÷10+710,
=71+710,
=781;
(4)(29+227)×27,
=(250+6)×27,
=250×27+6×27,
=6750+162,
=6912;
(5)157×5.6+45,
=(100+57)×5.6+45,
=100×5.6+57×5.6+45,
=560+319.2+45,
=924.2;
(6)35×1310×31721,
=5×7×1310×31721,
=(5×1310)×(7×31721),
=6550×222047,
=1454407850.
分析:(1)将38拆成2×19,再利用乘法交换律即可进行计算;
(2)将252528拆成250000+2500+20+8,再利用乘法分配律进行计算;
(3)依据运算顺序可以直接计算;
(4)将227+29组合成250+6,再利用乘法分配律进行计算即可;
(5)将157拆成100+57,再利用乘法分配律进行计算;
(6)将35拆成5×7,再利用乘法交换律即可进行计算.
点评:解决此题的关键是利用加法和乘法的运算定律进行简算.