试题

题目:
计算
(1)(+12)+(-7)-(+15)
(2)
1
6
-
2
3
-(
4
5
-
8
15
)

(3)-12×(1-0.5)-
1
2
[2-
(-2)2]
(4)65×3.08+35×3.08.
答案
解:(1)(+12)+(-7)-(+15)
=12-7-15
=12-22
=-10;

(2)
1
6
-
2
3
-(
4
5
-
8
15
)

=
1
6
-
2
3
-
4
15

=
5
30
-
20
30
-
8
30

=-
23
30


(3)-12×(1-0.5)-
1
2
[2-
(-2)2]
=-1×
1
2
-
1
2
×[2-4]
=-
1
2
+
1
2
×2
=-
1
2
+1
=
1
2


(4)65×3.08+35×3.08
=(65+35)×3.08
=100×3.08
=308.
解:(1)(+12)+(-7)-(+15)
=12-7-15
=12-22
=-10;

(2)
1
6
-
2
3
-(
4
5
-
8
15
)

=
1
6
-
2
3
-
4
15

=
5
30
-
20
30
-
8
30

=-
23
30


(3)-12×(1-0.5)-
1
2
[2-
(-2)2]
=-1×
1
2
-
1
2
×[2-4]
=-
1
2
+
1
2
×2
=-
1
2
+1
=
1
2


(4)65×3.08+35×3.08
=(65+35)×3.08
=100×3.08
=308.
考点梳理
有理数的混合运算.
(1)先化简,再计算即可;
(2)先计算小括号里面的减法,再通分计算即可;
(3)按照有理数混合运算的顺序,先乘方后乘除最后算加减,有括号的先算括号里面的;
(4)直接运用乘法的分配律计算.
本题考查的是有理数的运算能力.注意:
(1)要正确掌握运算顺序,在混合运算中要特别注意运算顺序:先三级,后二级,再一级;有括号的先算括号里面的;同级运算按从左到右的顺序;
(2)去括号法则:--得+,-+得-,++得+,+-得-.
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