题目内容
(2011?北海模拟)计算下面各题,怎么简便就怎样算
①9
|
②1.8×
| ||||||||||||
③(8
|
④2
|
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.
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
-(3
+0.4),
=9
-(3
+
),
=9
-3
-
,
=(9
-
)-3
,
=9-3
,
=5
;
②1.8×
+2.2×25%,
=1.8×
+2.2×
,
=(1.8+2.2)×
,
=4×
,
=1;
③(8
-10.5×
)÷4
,
=(8
-
×
)÷4
,
=(8
-8
)÷4
,
=
×
,
=
;
④2
÷[5
-4.5×(20%+
)],
=2
÷[5.6-4.5×(
+
)],
=2
÷[5.6-(4.5×
+4.5×
)],
=2
÷[5.6-(0.9+1.5)],
=2
÷[5.6-(0.9+1.5)],
=2
÷3.2,
=
÷
,
=
×
,
=
.
2 |
5 |
3 |
7 |
=9
2 |
5 |
3 |
7 |
2 |
5 |
=9
2 |
5 |
3 |
7 |
2 |
5 |
=(9
2 |
5 |
2 |
5 |
3 |
7 |
=9-3
3 |
7 |
=5
4 |
7 |
②1.8×
1 |
4 |
=1.8×
1 |
4 |
1 |
4 |
=(1.8+2.2)×
1 |
4 |
=4×
1 |
4 |
=1;
③(8
5 |
6 |
4 |
5 |
1 |
3 |
=(8
5 |
6 |
21 |
2 |
4 |
5 |
1 |
3 |
=(8
5 |
6 |
2 |
5 |
1 |
3 |
=
13 |
30 |
3 |
13 |
=
1 |
10 |
④2
7 |
20 |
3 |
4 |
1 |
3 |
=2
7 |
20 |
1 |
5 |
1 |
3 |
=2
7 |
20 |
1 |
5 |
1 |
3 |
=2
7 |
20 |
=2
7 |
20 |
=2
7 |
20 |
=
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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