题目内容

“考考你”下面各题怎么算简便就怎么算?
7
10
×101-
7
10
8
9
×
8
9
÷
8
9
×
8
9
3
5
×99+
3
5
( 
4
7
+
8
9
)×
2
25
15
21
×
3
4
+
10
21
×
3
4
-
3
4
3
4
5
×25
36×
34
35
( 
5
6
-
5
9
)×
18
5
分析:(1)(3)(5)(8)运用乘法分配律简算;
(2)把除法变成乘法,再运用乘法结合律简算;
(4)先算小括号里面的加法,再算括号外的乘法;
(6)先把带分数分解成整数加上分数的形式,再运用乘法分配律简算;
(7)先把36分解成35+1,再运用乘法分配律简算.
解答:解:(1)
7
10
×101-
7
10

=
7
10
×(101-1),
=
7
10
×100,
=70;

(2)
8
9
×
8
9
÷
8
9
×
8
9

=
8
9
×
8
9
×
9
8
×
8
9

=(
8
9
×
8
9
)×(
9
8
×
8
9
),
=
64
81
×1,
=
64
81


(3)
3
5
×99+
3
5

=
3
5
×(99+1),
=
3
5
×100,
=60;

(4)( 
4
7
+
8
9
)×
2
25

=
92
63
×
2
25

=
184
1575


(5)
15
21
×
3
4
+
10
21
×
3
4
-
3
4

=(
15
21
+
10
21
-1)×
3
4

=
4
21
×
3
4

=
1
7


(6)3
4
5
×25,
=(3+
4
5
)×25,
=3×25+
4
5
×25,
=75+20,
=95;

(7)36×
34
35

=(35+1)×
34
35

=35×
34
35
+1×
34
35

=34+
34
35

=34
34
35


(8)(
5
6
-
5
9
)×
18
5

=
5
6
×
18
5
-
5
9
×
18
5

=3-2,
=1.
点评:本题考查了四则混合运算,注意运算顺序和运算法则,灵活运用所学的运算定律进行简便计算.
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