解:
(1)44×25,
=(11×4)×25,
=11×(4×25),
=11×100,
=1100;
(2)10-0.57+1.25,
=9.43+1.25,
=10.68;
(3)4.02-2.7+1.98,
=1.32+1.98,
=3.3;
(4)3.9+2.61+6.1,
=3.9+6.1+2.61,
=10+2.61,
=12.61;
(5)2010×9+2010,
=2010×(9+1),
=2010×10,
=20100;
(6)257-65+43+165,
=(257+43)+(165-65),
=300+100,
=400;
(7)800-400÷25×4,
=800-16×4,
=800-64,
=736;
(8)(800-400)÷25×4,
=400÷25×4,
=16×4,
=64;
(9)800-400÷(25×4),
=800-400÷100,
=800-4,
=796.
分析:(1)根据乘法结合律进行计算;
(2)按照从左向右的顺序进行计算;
(3)按照从左向右的顺序进行计算;
(4)根据加法交换律进行计算;
(5)根据乘法分配律进行计算;
(6)根据加法交换律和结合律进行计算;
(7)先算除法,再算乘法,最后算减法;
(8)先算减法,再算除法,最后算乘法;
(9)先算乘法,再算除法,最后算减法.
点评:考查了运算定律与简便运算,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.