题目内容

(2008?丰县)计算下面各题,能用简便算法的用简便算法.
1740-1632÷16×17
 0.36×73-63×0.36
9
10
×
5
3
+
9
10
÷3
[(
3
5
-
1
3
)÷
4
5
7
8
分析:(1)先算除法,再算乘法,最后算减法;
(2)运用乘法分配律简算;
(3)先把除法变成乘法,再运用乘法分配律简算;
(4)先把中括号里面的除法变成乘法,再运用乘法分配律简算.
解答:解:(1)1740-1632÷16×17,
=1740-102×17,
=1740-1734,
=6;

(2)0.36×73-63×0.36,
=(73-63)×0.36,
=10×0.36,
=3.6;

(3)
9
10
×
5
3
+
9
10
÷3,
=
9
10
×
5
3
+
9
10
×
1
3

=
9
10
×(
5
3
+
1
3
),
=
9
10
×2,
=
9
5


(4)[(
3
5
-
1
3
)÷
4
5
7
8

=[(
3
5
-
1
3
)×
5
4
7
8

=[
3
5
×
5
4
-
1
3
×
5
4
7
8

=[
3
4
-
5
12
7
8

=
1
3
×
7
8

=
7
24
点评:乘法分配律是最常用的简便运算的方法,要熟练掌握,灵活运用.
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