8.3-2.1÷1.75×(1.7+0.45)
4
7
+
5
6
-(
3
7
-
1
6
)      
5.4×3.2+3.2+32×0.36                   
 
1
2
+
1
6
+
1
12
+
1
20
+
1
30
+
1
42
分析:(1)先算小括號內的加法,再算除法,然后算乘法,最后算減法;
(2)去掉括號后用加法結合律計算;
(3)運用乘法分配律簡算;
(4)
1
6
=
1
2
-
1
3
;
1
12
=
1
3
-
1
4
;…由此找出規(guī)律計算.
解答:解:(1)8.3-2.1÷1.75×(1.7+0.45),
=8.3-2.1÷1.75×2.15,
=8.3-1.2×2.15,
=8.3-2.58,
=5.72;

(2)
4
7
+
5
6
-(
3
7
-
1
6
),
=
4
7
+
5
6
-
3
7
+
1
6
,
=(
4
7
-
3
7
)+(
5
6
+
1
6
),
=
1
7
+1,
=1
1
7
;

(3)5.4×3.2+3.2+32×0.36,
=5.4×3.2+3.2×1+3.2×3.6,
=(5.4+1+3.6)×3.2,
=10×3.2,
=32;

(4)
1
2
+
1
6
+
1
12
+
1
20
+
1
30
+
1
42
,
=(1-
1
2
)+(
1
2
-
1
3
)+(
1
3
-
1
4
)+(
1
4
-
1
5
)+(
1
5
-
1
6
)+(
1
6
-
1
7
),
=1-
1
2
+
1
2
-
1
3
+
1
3
-…+
1
6
-
1
6
+
1
7
,
=1-
1
7
,
=
6
7
點評:第四題根據(jù)
1
n(n+1)
=
1
n
-
1
n+1
(n≠0)這一關系找到規(guī)律求解.
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