题目内容

(2011?北海模拟)计算下面各题,怎么简便就怎样算
①9
2
5
-(3
3
7
+0.4)
②1.8×
1
4
+2.2×25%
③(8
5
6
-10.5×
4
5
)÷4
1
3
④2
7
20
÷[5
3
4
-4.5×(20%+
1
3
)].
分析:①把小数化为分数,先算括号内的,再算括号外的;
②把百分数化为分数,运用乘法分配律简算;
③先算括号内的乘法,再算括号内的减法,最后算括号外的除法;
④先算小括号内的,再算括号内的乘法,然后算中括号内的减法,最后算括号外的除法.
解答:解:①9
2
5
-(3
3
7
+0.4),
=9
2
5
-(3
3
7
+
2
5
),
=9
2
5
-3
3
7
-
2
5

=(9
2
5
-
2
5
)-3
3
7

=9-3
3
7

=5
4
7


②1.8×
1
4
+2.2×25%,
=1.8×
1
4
+2.2×
1
4

=(1.8+2.2)×
1
4

=4×
1
4

=1;

③(8
5
6
-10.5×
4
5
)÷4
1
3

=(8
5
6
-
21
2
×
4
5
)÷4
1
3

=(8
5
6
-8
2
5
)÷4
1
3

=
13
30
×
3
13

=
1
10


④2
7
20
÷[5
3
4
-4.5×(20%+
1
3
)],
=2
7
20
÷[5.6-4.5×(
1
5
+
1
3
)],
=2
7
20
÷[5.6-(4.5×
1
5
+4.5×
1
3
)],
=2
7
20
÷[5.6-(0.9+1.5)],
=2
7
20
÷[5.6-(0.9+1.5)],
=2
7
20
÷3.2,
=
47
20
÷
16
5

=
47
20
×
5
16

=
47
64
点评:此题考查了分数的四则混合运算,特别注意运算顺序和运算法则,灵活运用所学的运算律简便计算.
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