题目内容

直接写出计算结果
2-7×
2
7
=

17-17×
17
18
=

1-
1
2
-
1
3
=

20.1+
1
4
-0.375
=
⑤0.1252= ⑥252÷153=
5
8
×98÷
3
8
×100
=
(
2
71
+
1
69
)×23+
25
71
=
分析:①②先算乘法,再算减法;
③④按照从左到右的顺序计算;
⑤⑥根据乘方的含义求解;
⑦把除法变成乘法,再运用乘法结合律简算;
⑧先运用乘法分配律简算,再运用加法交换律简算.
解答:解:①2-7×
2
7

=2-2,
=0;

17-17×
17
18

=17×(1-
17
18
),
=17×
1
18

=
17
18


1-
1
2
-
1
3

=
1
2
-
1
3

=
1
6


20.1+
1
4
-0.375

=20.35-0.375,
=19.975;

⑤0.1252
=0.125×0.125,
=0.015625;

⑥252÷153
=
25×25
15×15×15

=
5
27


5
8
×98÷
3
8
×100

=(
5
8
×
8
3
)×(98×100),
=
5
3
×9800,
=
49000
3


(
2
71
+
1
69
)×23+
25
71

=
2
71
×23+
1
69
×23+
25
71

=
46
71
+
1
3
+
25
71

=
46
71
+
25
71
+
1
3

=1+
1
3

=1
1
3
点评:本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定律进行简便计算.
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