小馬虎做作業(yè),有一次粗心的他把下面的計算全做錯了,請細心的你仔細觀察他做錯的原因,并幫他改正.
(1)
7
8
+
1
8
×
4
5
=(
7
8
+
1
8
4
5
=1×
4
5
=
4
5
    
更正:
7
8
+
1
8
×
4
5

=
7
8
+
1
10

=
39
40
7
8
+
1
8
×
4
5

=
7
8
+
1
10

=
39
40

(2)72×
5
8
÷72×
5
8

=(72×
5
8
)÷(72×
5
8
)    

=1÷1
=1
更正:
72×
5
8
÷72×
5
8

=(72÷72)×(
5
8
×
5
8

=1×
25
64

=
25
64
72×
5
8
÷72×
5
8

=(72÷72)×(
5
8
×
5
8

=1×
25
64

=
25
64

(3)(
3
5
-
2
7
)×5×7
=
3
5
×5-
2
7×7
         
=3-2
=1
更正:
3
5
-
2
7
)×5×7
=
3
5
×5×7-
2
7
×5×7
=21-10
=11
3
5
-
2
7
)×5×7
=
3
5
×5×7-
2
7
×5×7
=21-10
=11

(4)
8
15
÷(
8
15
+
4
5
)

=
8
15
÷
8
15
+
8
15
÷
4
5

=1+
2
3

=1
2
3

更正
8
15
÷(
8
15
+
4
5
)

=
8
15
÷
4
3

=
2
5
8
15
÷(
8
15
+
4
5
)

=
8
15
÷
4
3

=
2
5
分析:(1)先算乘法,再算加法;
(2)根據(jù)乘法交換律和結(jié)合律進行計算;
(3)根據(jù)乘法分配律進行計算;
(4)先算加法,再算除法.
解答:解:
(1)
7
8
+
1
8
×
4
5

=
7
8
+
1
10
,
=
39
40


(2)72×
5
8
÷72×
5
8
,
=(72÷72)×(
5
8
×
5
8
),
=1×
25
64
,
=
25
64


(3)(
3
5
-
2
7
)×5×7,
=
3
5
×5×7-
2
7
×5×7,
=21-10,
=11;

(4)
8
15
÷(
8
15
+
4
5
)
,
=
8
15
÷
4
3
,
=
2
5
點評:完成本題要注意分析式中數(shù)據(jù),運用合適的簡便方法計算.
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