题目内容

计算怎样简便就怎样算.
1
6
+4.25+
5
6
+4.75
          
24×(
1
4
-
1
8
)         
7-(0.2+
4
5
(0.25×4-0.5)×4      
(1-
1
4
×
8
9
)÷
7
9
       
1
8
÷[(
17
24
+
1
6
3
7
]
分析:(1)可根据加法交换律及结合律计算;
(2)可根据乘法分配律计算;
(3)(4)(5)(6)根据四则混合运算的运算顺序计算即可:先算乘除,再算加减,有括号的要先算括号里面的.
解答:解:(1)
1
6
+4.35+
5
6
+4.75
=(
1
6
+
5
6
)+(4.35+4.75),
=1+9,
=10;

(2)24×(
1
4
-
1
8

=24×
1
4
-24×
1
8

=6-3,
=3;

(3)7-(0.2+
4
5

=7-(0.2+0.8),
=7-1,
=6;

(4)(0.25×4-0.5)×4
=(1-0.5)×4,
=0.5×4,
=2;

(5)(1-
1
4
×
8
9
)÷
7
9

=(1-
2
9
÷
7
9

=
7
9
×
9
7

=1;

(6)
1
8
÷[(
17
24
+
1
6
3
7
]

=
1
8
÷[
21
24
×
3
7
],
=
1
8
×
8
3

=
1
3
点评:完成本题要注意分析式中数据的特点及内在联系,然后运用合适的方法计算.
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