题目内容

计算(写出计算过程,能简算的要简算)
2-(6÷0.5-3×3)÷5+5×0.8       4
3
8
×(
2
5
+
1
6
-
3
7
)÷
1
48
1.25×3.45×6.789+3.75×1.15×1.211
1
11×13
+
1
13×15
+
1
15×17
+
1
17×19
分析:(1)先算小括号里面的除法和乘法,再算小括号里面的减法,再算括号外面的除法和乘法,再算减法,最后算加法;
(2)根据乘法分配律进行计算;
(3)根据乘法分配律进行计算;
(4)根据分数的拆项进行计算.
解答:解:
(1)2-(6÷0.5-3×3)÷5+5×0.8,
=2-(12-9)÷5+5×0.8,
=2-3÷5+5×0.8,
=2-0.6+4,
=1.4+4,
=5.4;

(2)4
3
8
×(
2
5
+
1
6
-
3
7
)÷
1
48

=4
3
8
×(
2
5
+
1
6
-
3
7
)×48,
=4
3
8
×48×(
2
5
+
1
6
-
3
7
),
=210×(
2
5
+
1
6
-
3
7
),
=210×
2
5
+210×
1
6
-210×
3
7

=84+35-90,
=119-90,
=29;

(3)1.25×3.45×6.789+3.75×1.15×1.211,
=4.3125×6.789+4.3125×1.211,
=4.3125×(6.789+1.211),
=4.3125×8,
=34.5;

(4)
1
11×13
+
1
13×15
+
1
15×17
+
1
17×19

=
1
2
×(
1
11
-
1
13
)+
1
2
×(
1
13
-
1
15
)+
1
2
×(
1
15
-
1
17
)+
1
2
×(
1
17
-
1
19
),
=
1
2
×(
1
11
-
1
13
+
1
13
-
1
15
+
1
15
-
1
17
+
1
17
-
1
19
),
=
1
2
×(
1
11
-
1
19
),
=
1
2
×
8
209

=
4
209
点评:四则运算,先弄清运算顺序,然后再进一步计算,能简算的要简算.
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