题目内容

能简算的要简算
10×10.7-10÷62.5%                  
99%×99+99%
4×8×1.25×25%                    
1
69
+
2
71
)×23+
25
71
8
15
×
3
4
-
1
6
÷
1
2
               
 
5
4
×
5
6
+
1
6
×
5
4
32.6×
4
5
+32.6×20%                
465×
463
464
5
7
×
1
6
+
2
7
÷6                   
 
1
8
×
3
4
+
1
8
×
1
4
分析:(1)、(5)先算乘法、除法,再算减法;
(2)、(4)、(6)、(7)、(9)、(10)运用乘法分配律简算;
(3)利用乘法交换律、结合律简算;
(8)把465看作464+1,利用乘法分配律简算.
解答:解:(1)10×10.7-10÷62.5%,
=107-16,
=91;

(2)99%×99+99%,
=99%×(99+1),
=99%×100,
=99;

(3)4×8×1.25×25%,
=(4×25%)×(8×1.25),
=1×10,
=10;

(4)(
1
69
+
2
71
)×23+
25
71

=
1
69
×23+
2
71
×23+
25
71

=
1
3
+(
46
71
+
25
71
),
=
1
3
+1,
=1
1
3


(5)
8
15
×
3
4
-
1
6
÷
1
2

=
2
5
-
1
3

=
1
15


(6)
5
4
×
5
6
+
1
6
×
5
4

=
5
4
×(
5
6
+
1
6
),
=
5
4


(7)32.6×
4
5
+32.6×20%,
=32.6×(
4
5
+
1
5
),
=32.6;

(8)465×
463
464

=(464+1)×
463
464

=464×
463
464
+
463
464

=463
463
464


(9)
5
7
×
1
6
+
2
7
÷6,
=
1
6
×(
5
7
+
2
7
),
=
1
6


(10)
1
8
×
3
4
+
1
8
×
1
4

=
1
8
×(
3
4
+
1
4
),
=
1
8
点评:完成本题要注意分析式中数据,运用合适的简便方法计算.
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