题目内容

(3.12+0.9)÷[(1-0.4)÷0.1] (4.7+3)÷[(4-3.5)×2]
1
14
×
7
12
+
5
12
÷14
15×(
1
5
+
1
3
35
37
×38.
分析:(1)(2)先算小括号内的,再算中括号内的,最后算括号外的除法;
(3)把除法改为乘法,运用乘法分配律简算;
(4)运用乘法分配律简算;
(5)把38看作37+1,运用乘法分配律简算.
解答:解:(1)(3.12+0.9)÷[(1-0.4)÷0.1],
=4.02÷[0.6÷0.1],
=4.02÷6,
=0.67;

(2)(4.7+3)÷[(4-3.5)×2],
=7.7÷[0.5×2],
=7.7÷1,
=7.7;

(3)
1
14
×
7
12
+
5
12
÷14,
=
1
14
×
7
12
+
5
12
×
1
14

=(
7
12
+
5
12
)×
1
14

=1×
1
14

=
1
14


(4)15×(
1
5
+
1
3
),
=15×
1
5
+15×
1
3

=3+5,
=8;

(5)
35
37
×38,
=
35
37
×(37+1),
=
35
37
×37+1×
35
37

=35+
35
37

=35
35
37
点评:此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律简便计算.
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