(2012•民乐县模拟)脱式计算,能简算的要简算
1个回答

解题思路:(1)先根据积不变规律,把9.81×0.1变成98.1×0.01,0.049×981变成0.49×98.1,再根据乘法分配律简算;

(2)先算小括号里面的减法,再算中括号里面的乘法,然后算中括号里面的加法,最后算括号外的除法;

(3)先把32分解成4×8,再运用乘法结合律简算,最后算减法;

(4)先算小括号里面的减法,再算中括号里面的减法,最后算括号外的乘法.

(1)9.81×0.1+0.5×98.1+0.049×981,

=98.1×0.01+0.5×98.1+0.49×98.1,

=98.1×(0.01+0.5+0.49),

=98.1×(0.51+0.49),

=98.1×1,

=98.1;

(2)2[1/4]÷[(2[1/3]-1.2)×[3/4]+0.05],

=2[1/4]÷[[17/15]×[3/4]+0.05],

=2[1/4]÷[[17/20]+[1/20]],

=[9/4]÷

9

10,

=[5/2];

(3)100-32×0.125×0.25,

=100-4×8×0.125×0.25,

-100-(4×0.25)×(8×0.125),

=100-1×1,

=100-1,

=99;

(4)[1-([1/2]-[1/4])]×[2/3],

=[1-[1/4]]×[2/3],

=[3/4]×[2/3],

=[1/2].

点评:

本题考点: 小数四则混合运算;运算定律与简便运算;分数的四则混合运算;整数、分数、小数、百分数四则混合运算.

考点点评: 本题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.