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×(
+
-
)= ;
47×
= ;
÷23+
×
= ;
0.25×13.8+6.2÷4= ;
6.48÷[(3.3-2.7)×0.9]= ;
×(
+1÷
)= .
12×(
1 |
4 |
1 |
6 |
1 |
12 |
47×
9 |
48 |
8 |
17 |
1 |
23 |
9 |
17 |
0.25×13.8+6.2÷4=
6.48÷[(3.3-2.7)×0.9]=
10 |
13 |
3 |
4 |
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.
(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×(
+
-
),
=12×
+12×
-12×
,
=3+2-1,
=4;
(2)47×
,
=(48-1)×
,
=48×
-1×
,
=9-
,
=8
;
(3)
÷23+
×
,
=
×
+
×
,
=(
+
)×
,
=1×
,
=
;
(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)
×(
+1÷
),
=
×(
+
),
=
×
,
=
.
1 |
4 |
1 |
6 |
1 |
12 |
=12×
1 |
4 |
1 |
6 |
1 |
12 |
=3+2-1,
=4;
(2)47×
9 |
48 |
=(48-1)×
9 |
48 |
=48×
9 |
48 |
9 |
48 |
=9-
9 |
48 |
=8
13 |
16 |
(3)
8 |
17 |
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 |
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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