题目内容

(2012?宜丰县模拟)能简算的要简算
2.5×
4
5
+6.5×80%+0.8
3.8×4.2+38×0.58
47.5-(0.6+6.4÷0.32) 40÷[
4
7
×(
1
2
+
3
8
)]
1
3
4
-
9
16
÷
3
4
+
15
22
 0.32÷[12.8÷(0.25+0.15)].
分析:(1)(2)运用乘法分配律解答,
(3)(4)(5)(6)依据四则运算顺序:先算第二级运算,再算第一级运算,如果只含有同一级运算,按照从左到右顺序进行计算.
解答:解:(1)2.5×
4
5
+6.5×80%+0.8,
=0.8×(2.5+6.5+1),
=0.8×10,
=8;

(2)3.8×4.2+38×0.58,
=3.8×(4.2+5.8),
=3.2×10,
=32;

(3)47.5-(0.6+6.4÷0.32),
=47.5-(0.6+20),
=47.5-20.6,
=26.9;

(4)40÷[
4
7
×
1
2
+
3
8
)],
=40÷[
4
7
×
7
8
],
=40÷
1
2

=80;

(5)1
3
4
-
9
16
÷
3
4
+
15
22

=1
3
4
-
3
4
+
15
22

=1+
15
22

=1
15
22


(6)0.32÷[12.8÷(0.25+0.15)],
=0.32÷[12.8÷0.4],
=0.32÷32,
=0.01.
点评:(1)正确运用简便算法解决问题,(2)正确依据四则运算顺序进行计算,是本题考查知识点.
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