解题思路:(1)95.6×1.8+0.18×44,根据积的变化规律,将原式转化为95.6×1.8+1.8×4.4,再应用乘法分配律进行简算;
(2)54.2-[2/9]+4.8-[16/9],根据减法的运算性质,a-b-c=a-(b+c),进行简算;
(3)([3/29]+[1/13])×13×29,应用乘法分配律进行简算;
(4)[3/13]×[4/5]+[10/13]×[4/5]-[4/5],应用乘法分配律进行简算.
(1)95.6×1.8+0.18×44,
=95.6×1.8+1.8×4.4,
=(95.6+4.4)×1.8,
=100×1.8,
=180;
(2)54.2-[2/9]+4.8-[16/9],
=54.2+4.8-([2/9+
16
9]),
=59-2,
=57;
(3)([3/29]+[1/13])×13×29,
=([3/29×13+
1
13×13)×29,
=(
39
29+1)×29,
=
39
29×29+29,
=39+29,
=68;
(4)
3
13]×[4/5]+[10/13]×[4/5]-[4/5],
=([3/13+
10
13−1)×
4
5],
=0×[4/5],
=0.
点评:
本题考点: 运算定律与简便运算;分数的简便计算.
考点点评: 此题考查了应用整数的运算定律和运算性质对小数、分数四则混合运算进行简便计算.