脱式计算(能简算的用简便方法计算,写出计算过程.)(1)7.5×2.3-1.9×2.5(2)(78.6-0.786×25+75%

2025-06-22 13:24:51
推荐回答(1个)
回答1:

(1)7.5×2.3+1.9×2.5
=17.25+4.75
=22;

(2)(78.6-0.786×25十75%×21.4)×2011÷75,
=(78.6-78.6×0.25+75%×21.4)×2011÷75,
=[(1-0.25)×78.6+0.75×21.4]×2011÷75,
=[0.75×78.6+0.75×21.4]×2011÷75,
=(78.6+21.4)×0.75×2011÷75,
=100×0.75×2011÷75,
=75×2011÷75,
=75÷75×2011,
=2011;

(3)1
1
2
+2
1
6
+3
1
12
+4
1
20
+5
1
30

=(1+2+3+4+5)+(
1
2
+
1
6
+
1
12
+
1
20
+
1
30
),
=15+[(1-
1
2
)+(
1
2
-
1
3
)+(
1
3
-
1
4
)+(
1
4
-
1
5
)],
=15+[1-
1
2
+
1
2
-
1
3
+
1
3
-
1
4
+
1
4
-
1
5
],
=15+
4
5

=15.8;

(4)9.1+9.2+9.3+…10.7+10.8+10.9,
=(9.1+10.9)×9+10.0,
=180+10.0,
=190.