题目内容

(2009?高邮市模拟)
计算,能简算的要简算
80.3-33.3×0.5÷0.37
3
8
×〔
8
9
÷(
5
6
+
3
4
)〕
7
16
×40-
5
16
÷
1
40
7
4
×12.5×
5
7
×8
5
8
+
1
27
)×8+
19
27
(1-
1
6
÷
5
9
)×
5
14
分析:80.3-33.3×0.5÷0.37,先把原式变为80.3-33.3÷0.37×0.5,然后按运算顺序计算;
3
8
×〔
8
9
÷(
5
6
+
3
4
)〕,先按运算顺序计算,先算小括号的,得出结果后,利用乘法和除法的性质简算;
7
16
×40-
5
16
÷
1
40
,先把原式改写成
7
16
×40-
5
16
×40,然后用乘法分配律的逆运算简算;
7
4
×12.5×
5
7
×8,用乘法交换律和结合律简算;
5
8
+
1
27
)×8+
19
27
,先用乘法分配律计算(
5
8
+
1
27
)×8,然后用加法结合律简算;
(1-
1
6
÷
5
9
)×
5
14
,按运算顺序计算,先算括号内的,再算括号外的.
解答:解:80.3-33.3×0.5÷0.37,
=80.3-33.3÷0.37×0.5,
=80.3-90×0.5,
=80.3-45,
=35.3;

3
8
×〔
8
9
÷(
5
6
+
3
4
)〕,
=
3
8
×[
8
9
÷(
10
12
+
9
12
)],
=
3
8
×[
8
9
÷
19
12
],
=
3
8
×
8
9
×
12
19

=
4
19


7
16
×40-
5
16
÷
1
40

=
7
16
×40-
5
16
×40,
=(
7
16
-
5
16
)×40,
=
1
8
×40,
=5;

7
4
×12.5×
5
7
×8,
=(
7
4
×
5
7
)×(12.5×8),
=
5
4
×100,
=125;

5
8
+
1
27
)×8+
19
27

=
5
8
×8+
1
27
×
8+
19
27

=5+
8
27
+
19
27

=5+(
8
27
+
19
27
),
=5+1,
=6;

(1-
1
6
÷
5
9
)×
5
14

=(1-
1
6
×
9
5
)×
5
14

=(1-
3
10
)×
5
14

=
7
10
×
5
14

=
1
4
点评:此题考查学生对小数、分数的四则混合运算顺序的掌握情况,以及运用所学知识灵活简算的能力.
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