题目内容

计算下各题,能用简便方法计算的要用简便方法计算.
12×(
1
4
+
1
6
-
1
12
)
=
 

47×
9
48
=
 

8
17
÷23+
1
23
×
9
17
=
 

0.25×13.8+6.2÷4=
 

6.48÷[(3.3-2.7)×0.9]=
 

10
13
×(
3
4
+1÷
5
6
)
=
 
分析:(1)运用乘法分配律简算;
(2)先把47分解成(48-1),再运用乘法分配律简算;
(3)(4)先把除法变成乘法,再运用乘法分配律简算;
(5)先算小括号里面的减法,再算中括号里面的乘法,最后算括号外的除法;
(6)先算小括号里面的除法,再算小括号里面的加法,最后算括号外的乘法.
解答:解:(1)12×(
1
4
+
1
6
-
1
12
)

=12×
1
4
+12×
1
6
-12×
1
12

=3+2-1,
=4;

(2)47×
9
48

=(48-1)×
9
48

=48×
9
48
-1×
9
48

=9-
9
48

=8
13
16


(3)
8
17
÷23+
1
23
×
9
17

=
8
17
×
1
23
+
1
23
×
9
17

=(
8
17
+
9
17
)×
1
23

=1×
1
23

=
1
23



(4)0.25×13.8+6.2÷4,
=0.25×13.8+6.2×0.25,
=0.25×(13.8+6.2),
=0.25×20,
=5;

(5)6.48÷[(3.3-2.7)×0.9],
=6.48÷[0.6×0.9],
=6.48÷0.54,
=12;

(6)
10
13
×(
3
4
+1÷
5
6
)

=
10
13
×(
3
4
+
6
5
),
=
10
13
×
39
20

=
3
2
点评:此题是考查四则混合运算,要仔细观察算式的特点,灵活运用一些定律进行简便计算.
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