题目内容

(2011?秀屿区)
计算下面各题,能用简便方法算的就用简便方法算.
(1)450+450÷18

(2)(0.64÷16+1.06)÷22
(3)
5
14
÷[
6
7
×(
4
9
+
1
6
)]
(4)
4
9
×
1
4
+
5
9
×25%+1÷4
分析:(1)先算出,再算加;
(2)先算小括号里的除,再算加,最后算括号外面的除;
(3)按四则运算的顺序计算;
(4)把
1
4
,25%,1÷4,都看成0.25,利用乘法的分配律计算简便.
解答:解:(1)450+450÷18,
=450+25,
=475;

(2)(0.64÷16+1.06)÷22,
=(0.04+1.06)÷22,
=1.1÷22,
=0.05;

(3)
5
14
÷[
6
7
×(
4
9
+
1
6
)],
=
5
14
÷[
6
7
×
11
18
],
=
5
14
÷
11
21

=
5
14
×
21
11

=
15
22


(4)
4
9
×
1
4
+
5
9
×25%+1÷4,
=
4
9
×0.25+
5
9
×0.25+0.25,
=0.25×(
4
9
+
5
9
+1),
=0.25×2,
=0.5.
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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