题目内容

(2008?高邮市)计算下面各题,能简算的要简算.
5000-27÷18×106 48×10.1+3.6-2.8+7.4-7.2
9
7
×(
7
9
-
7
27
11
18
÷〔2-(
1
4
+
5
6
)〕
(54+
9
13
)÷9.
分析:(1)鲜笋除法和乘法,再算减法;
(2)把10.1看作10+0.1,运用乘法分配律和加法结合律简算;
(3)把除法改为乘法,运用乘法分配律简算;
(4)先算小括号内的,再算中括号内的,最后算括号外的.
解答:解:(1)5000-27÷18×106,
=5000-1.5×106,
=5000-159,
=4841;

(2)48×10.1+3.6-2.8+7.4-7.2,
=48×(10+0.1)+3.6-2.8+(7.4-7.2),
=480+4.8-2.8+(3.6+0.2),
=480+2+3.8,
=485.8;

(3)
9
7
×(
7
9
-
7
27
),
=
9
7
×
7
9
-
7
27
×
9
7

=1-
1
3

=
2
3


(4)
11
18
÷[2-(
1
4
+
5
6
)],
=
11
18
÷[2-
13
12
],
=
11
18
÷
11
12

=
11
18
×
12
11

=
2
3


(5)(54+
9
13
)÷9,
=(54+
9
13
)×
1
9

=54×
1
9
+
9
13
×
1
9

=6+
1
13

=6
1
13
点评:考查了分数的四则混合运算,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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