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)
×2.5×
×0.4
(4)
÷8+
×
(5)15×
×(
×
)
(6)
÷[(
-
)÷
].
(1)30.1-16.8÷3.5×6.2
(2)27×99
(3)
5 |
4 |
4 |
5 |
(4)
7 |
23 |
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.
(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)
×2.5×
×0.4,
=(
×
)×(0.4×2.5),
=1×1,
=1;
(4)
÷8+
×
,
=
×
+
×
,
=
×(
+
),
=
×1,
=
;
(5)15×
×(
×
),
=(15×
)×(
×
),
=10×
,
=1;
(6)
÷[(
-
)÷
],
=
÷[
÷
],
=
÷
,
=
.
(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 |
4 |
5 |
=(
5 |
4 |
4 |
5 |
=1×1,
=1;
(4)
7 |
23 |
7 |
23 |
7 |
8 |
=
7 |
23 |
1 |
8 |
7 |
23 |
7 |
8 |
=
7 |
23 |
1 |
8 |
7 |
8 |
=
7 |
23 |
=
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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