递等式计算(能简算的就简算).
(1)3.37+12.89+2.63
(2)513000÷125÷8
(3)39×26+26×61
(4)31.25-6.29-4.71
(5)130×(300-125÷25)
(6)2748÷[216÷(155-83)].
解:(1)3.37+12.89+2.63,
=(3.37+2.63)+12.89,
=6+12.89,
=18.89;
(2)513000÷125÷8,
=513000÷(125×8),
=513000÷1000,
=513;
(3)39×26+26×61,
=(39+61)×26,
=100×26,
=2600;
(4)31.25-6.29-4.71,
=31.25-(6.29+4.71),
=31.25-11,
=20.25;
(5)130×(300-125÷25),
=130×(300-5),
=130×300-130×5,
=39000-650,
=38350;
(6)2748÷[216÷(155-83)],
=2748÷[216÷72],
=2748÷3,
=916.
分析:(1)运用加法结合律简算;
(2)运用除法的性质简算;
(3)运用乘法分配律简算;
(4)运用减法的性质简算;
(5)先算括号内的除法,原式变为130×(300-5),运用乘法分配律简算;
(6)先算小括号内的,再算中括号内的,最后算括号外的.
点评:此题考查了整数的,四则混合运算,注意运算顺序和运算法则,灵活运用所学的运算律简便计算.