(2012•济源) 能用简便方法计算的要简算.
1个回答

解题思路:(1)根据乘法交换律和结合律进行计算;

(2)根据连减的性质进行计算;

(3)中括号根据连减的性质进行计算,再算乘法;

(4)先算加法,再算中括号里面的除法,最后算括号外面的除法.

(1)32×125%×0.25,

=(4×8)×1.25×0.25,

=(8×1.25)×(4×0.25),

=10×1,

=10;

(2)12.5-0.625-[3/8],

=12.5-(0.625+[3/8]),

=12.5-1,

=11.5;

(3)[4/9]×[[3/4]-([7/16]-[1/4])],

=[4/9]×[[3/4]-[7/16]+[1/4]],

=[4/9]×[[3/4]+[1/4]-[7/16]],

=[4/9]×[1-[7/16]],

=[4/9]×[9/16],

=[1/4];

(4)1÷[([1/3]+[5/6])÷[5/12]],

=1÷[[7/6]÷[5/12]],

=1÷[14/5],

=[5/14].

点评:

本题考点: 整数、分数、小数、百分数四则混合运算;运算定律与简便运算.

考点点评: 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.