解:
(1)
,
=(14+1
)×
,
=14×
+1
×
,
=1+
,
=1
;
(2)
,
=8
-
-6
,
=8
-6
-
,
=2-
,
=1
;
(3)31.4+15.19+20.6+32.81,
=(31.4+20.6)+(15.19+32.81),
=52+48,
=100;
(4)
,
=(
)-(
),
=1
-1,
=
;
(5)
,
=(
)-(
),
=89-46
,
=42
;
(6)
,
=[(
)+(
)]÷5,
=[5+4]÷5,
=9÷5,
=1.8;
(7)9+19+199+1999,
=(1+1+1+6)+19+199+1999,
=(1+19)+(1+199)+(1+1999)+6,
=20+200+2000+6,
=2220+6,
=2226;
(8)0.9+0.99+0.999+0.111,
=0.9+0.99+0.999+(0.1+0.01+0.001),
=(0.9+0.1)+(0.99+0.01)+(0.999+0.001),
=1+1+1,
=3.
分析:(1)15
=14+1
,然后再根据乘法分配律进行简算;
(2)根据减法的性质进行简算;
(3)根据加法交换律和结合律进行简算;
(4)根据加法交换律和结合律进行简算;
(5)根据加法交换律和结合律进行简算;
(6)根据加法交换律和结合律进行简算;
(7)9=1+1+1+6,然后再根据加法交换律和结合律进行简算;
(8)0.111=0.1+0.01+0.001,然后再根据加法交换律和结合律进行简算.
点评:完成本题要注意分析式中数据,运用合适的简便方法计算.