题目内容

下面各题,能简算的要简算.
(1)30.1-16.8÷3.5×6.2
(2)27×99
(3)
5
4
×2.5×
4
5
×0.4
(4)
7
23
÷8+
7
23
×
7
8

(5)15×
1
7
×(
2
3
×
7
10

(6)
8
9
÷[(
4
6
-
1
3
)÷
1
2
].
分析:(1)先计算除法,再计算乘法,最后计算减法;
(2)把99看作100-1,再根据乘法分配律进行简算;
(3)根据乘法交换律和结合律进行简算;
(4)根据乘法分配律进行简算;
(5)根据交换律和结合律进行简算;
(6)先计算小括号里面的减法,再计算中括号里面的除法,最后计算括号外面的除法.
解答:解:
(1)30.1-16.8÷3.5×6.2,
=30.1-4.8×6.2,
=30.1-29.76,
=0.34;

(2)27×99,
=27×(100-1),
=27×100-27×1,
=2700-27,
=2673;

(3)
5
4
×2.5×
4
5
×0.4,
=(
5
4
×
4
5
)×(0.4×2.5),
=1×1,
=1;

(4)
7
23
÷8+
7
23
×
7
8

=
7
23
×
1
8
+
7
23
×
7
8

=
7
23
×(
1
8
+
7
8
),
=
7
23
×1,
=
7
23



(5)15×
1
7
×(
2
3
×
7
10
),
=(15×
2
3
)×(
1
7
×
7
10
),
=10×
1
10

=1;

(6)
8
9
÷[(
4
6
-
1
3
)÷
1
2
],
=
8
9
÷[
1
3
÷
1
2
],
=
8
9
÷
2
3

=
4
3
点评:根据题意,先找清运算顺序,然后再进一步计算即可;能简算的要简算.
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