(1)7.2×1.43÷
4
5
÷1.1
(2)0.125×76.8+12.5×0.132+1.25
(3)9
2
5
+99
2
5
+999
2
5
+9999
2
5
+99999
2
5
   
(4)
1
2
+
1
4
+
1
8
+
1
16
+
1
32
+
1
64
+
1
128
分析:(1)從左向右進行計算即可,
(2)運用乘法的分配律進行簡算,
(3)原式=9+
2
5
+99+
2
5
+999+
2
5
+9999+
2
5
+99999+
2
5
,再運用加法的結合律進行簡算,
(4)通過仔細觀察,此算式中的每個分數(shù)都拆成兩個分數(shù)相減的形式,然后通過加、減相互抵消,得出結果.
解答:解:(1)7.2×1.43÷
4
5
÷1.1,
=10.296÷
4
5
÷1.1,
=12.87÷1.1,
=11.7;

(2)0.125×76.8+12.5×0.132+1.25,
=0.125×76.8+0.125×13.2+0.125×10,
=0.125×(76.8+13.2+10),
=0.125×100,
=12.5;

(3)9
2
5
+99
2
5
+999
2
5
+9999
2
5
+99999
2
5
,
=9+
2
5
+99+
2
5
+999+
2
5
+9999+
2
5
+99999+
2
5

=9+99+999+9999+99999+
2
5
×5,
=9+99+999+9999+99999+2,
=(9+1)+(99+1)+(999+1)+(9999+1)+(99999+1)-5+2,
=10+100+1000+10000+100000-3,
=111110-3,
=1111107;

(4)
1
2
+
1
4
+
1
8
+
1
16
+
1
32
+
1
64
+
1
128
,
=1-
1
2
+
1
2
-
1
4
+
1
4
-
1
8
+
1
8
-
1
16
+
1
16
-
1
32
+
1
32
-
1
64
+
1
64
-
1
128
,
=1-
1
128

=
127
128
點評:此題考查了運算定律與簡便運算,四則混合運算.注意運算順序和運算法則,靈活運用所學的運算定律進行簡便計算.
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