题目内容

(2012?泸县模拟)计算.
2
3
×
2
7
+
2
3
÷
7
5
                    
8
7
-(1÷
7
8
-
4
5
)                             24×(
3
4
+
5
6

1
7
+
7
8
÷
7
5
+
3
8
                   (
1
3
+
1
4
)×(
5
3
÷
5
6
)                      99×
97
98
分析:(1)把除法改为乘法,运用乘法分配律的逆运算简算;
(2)把除法改为乘法,然后利用减法的性质简算;
(3)运用乘法分配律简算;
(4)把除法改为乘法,算出
7
8
×
5
7
=
5
8
,运用加法结合律简算;
(5)两个括号同时计算,第一个括号注意通分,第二个括号除以一个数等于乘这个数的倒数;
(6)把99看作98+1,运用乘法分配律简算.
解答:解:(1)
2
3
×
2
7
+
2
3
÷
7
5

=
2
3
×
2
7
+
2
3
×
5
7

=(
2
7
+
5
7
)×
2
3

=1×
2
3

=
2
3


(2)
8
7
-(1÷
7
8
-
4
5
),
=
8
7
-(1×
8
7
-
4
5
),
=
8
7
-(
8
7
-
4
5
),
=
8
7
-
8
7
+
4
5

=
4
5


(3)24×(
3
4
+
5
6
),
=24×
3
4
+24×
5
6

=18+20,
=38;

(4)
1
7
+
7
8
÷
7
5
+
3
8

=
1
7
+
7
8
×
5
7
+
3
8

=
1
7
+
5
8
+
3
8

=
1
7
+(
5
8
+
3
8
),
=
1
7
+1,
=1
1
7


(5)(
1
3
+
1
4
)×(
5
3
÷
5
6
),
=(
4
12
+
3
12
)×(
5
3
×
6
5
),
=
7
12
×2,
=
7
6


(6)99×
97
98

=(98+1)×
97
98

=98×
97
98
+
97
98

=97+
97
98

=97
97
98
点评:考查了运算定律与简便运算,四则混合运算.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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