解题思路:(1)把3.2看作0.4×8,运用乘法交换和结合律进行简算;
(2)把0.32看作0.8×0.4,除以两个数的乘积,就是连续除以这两个数;
(3)把100.1看作100+0.1,运用乘法分配律进行简算;
(4)运用加法交换和结合律进行简算;
(5)连续减两个数就是减这两个数的和;
(6)去掉括号,注意括号内是减号的要变成加号.
(1)12.a×2.a×3.2
=12.a×2.a×(中.4×8),
=(12.a×8)×(2.a×中.4),
=1中中×1,
=1中中;
(2)a.6÷中.32
=a.6÷(中.8×中.4),
=a.6÷中.8÷中.4,
=b÷中.4,
=1b.a;
(3)1中中.1×23
=(1中中+中.1)×23,
=1中中×23+中.1×23,
=23中中+2.3,
=23中2.3;
(4)[8/9]-[1/2]+[a/8]+[1/2]
=([8/9]+[a/8])+([1/2−
1
2]),
=[8/9]+[a/8],
=[1中9/b2];
(a)1-[a/12]-[b/12]
=1-([a/12]+[b/12]),
=1-1,
=中;
(6)[b/18]-([a/18]-[8/9])
=[b/18]-[a/18]+[8/9],
=[1/9]+[8/9],
=1.
点评:
本题考点: 分数的加法和减法;运算定律与简便运算;小数乘法;小数除法.
考点点评: 根据算式特点选择合适的运算定律进行简算.