解题思路:(1)先算小括号里面的除法,再算小括号里面的减法,最后算括号外的乘法;
(2)先把205分解成200+5,再运用乘法分配律简算;
(3)运用乘法交换律和结合律简算;
(4)根据减法的性质简算;
(5)运用加法交换律简算;
(6)运用乘法分配律简算.
(1)30×(500-400÷25),
=30×(500-16),
=30×484,
=14520;
(2)36×205,
=36×(200+5),
=36×200+36×5,
=7200+180,
=7380;
(3)23×4×8×25,
=(23×8)×(25×4),
=184×100,
=18400;
(4)75.64-(5.64-4.82),
=75.64-5.64+4.82,
=70+4.82,
=74.82;
(5)42.45-23.41+7.55,
=42.45+7.55-23.41,
=50-23.41,
=26.59;
(6)(40-4)×25,
=40×25-4×25,
=1000-100,
=900.
点评:
本题考点: 整数四则混合运算;运算定律与简便运算.
考点点评: 本题考查了四则混合运算,注意运算顺序和运算法则,灵活运用所学的运算定律进行简便计算.