试题

题目:
计算题:
(1)(-20)+(+3)-(-5)-(+7)+7.2-(-4.8);
(2)1
1
2
×
5
7
-(-
7
5
)÷2
1
2
+(-3
1
2
)÷1
2
5

(3)(1
3
4
-
7
8
-
7
12
)×(-1
1
7
);
(4)(-2)÷[(-
1
2
1
2
]×|-
25
4
|-(-5)

(5)[-39
13
14
÷13-11×
2
3
+
1
3
×(-11)]÷(-7)

答案
解:(1)(-20)+(+3)-(-5)-(+7)+7.2-(-4.8)=-20+3+5-7+7.2+4.8=-15+10+12=7;
(2)1
1
2
×
5
7
-(-
7
5
)÷2
1
2
+(-3
1
2
)÷1
2
5
=
3
2
×
5
7
+
7
5
×
2
5
-
7
2
×
5
7
=
15
14
+
14
25
-
35
14
=-
10
7
+
14
25
=-
152
175

(3)(1
3
4
-
7
8
-
7
12
)×(-1
1
7
)=-
7
4
×
8
7
+
7
8
×
8
7
+
7
12
×
8
7
=-2+1+
2
3
=-
1
3

(4)(-2)÷[(-
1
2
1
2
]×|-
25
4
|-(-5)
=-2×(-4)×
25
4
+5=50+5=55;
(5)[-39
13
14
÷13-11×
2
3
+
1
3
×(-11)]÷(-7)
=(-39×
1
13
-
13
14
×
1
13
-
22
3
-
11
3
)÷(-7)=(-3-
1
14
-11
)×(-
1
7
)
=2+
1
2
=
5
2

解:(1)(-20)+(+3)-(-5)-(+7)+7.2-(-4.8)=-20+3+5-7+7.2+4.8=-15+10+12=7;
(2)1
1
2
×
5
7
-(-
7
5
)÷2
1
2
+(-3
1
2
)÷1
2
5
=
3
2
×
5
7
+
7
5
×
2
5
-
7
2
×
5
7
=
15
14
+
14
25
-
35
14
=-
10
7
+
14
25
=-
152
175

(3)(1
3
4
-
7
8
-
7
12
)×(-1
1
7
)=-
7
4
×
8
7
+
7
8
×
8
7
+
7
12
×
8
7
=-2+1+
2
3
=-
1
3

(4)(-2)÷[(-
1
2
1
2
]×|-
25
4
|-(-5)
=-2×(-4)×
25
4
+5=50+5=55;
(5)[-39
13
14
÷13-11×
2
3
+
1
3
×(-11)]÷(-7)
=(-39×
1
13
-
13
14
×
1
13
-
22
3
-
11
3
)÷(-7)=(-3-
1
14
-11
)×(-
1
7
)
=2+
1
2
=
5
2
考点梳理
有理数的混合运算.
(1)简化符号,再用凑整法解答;
(2)把除法化为乘法,做完乘除,再做加减;
(3)按乘法分配律计算;
(4)先括号里的和绝对值,再乘除,最后加减;
(5)先括号里的乘除、加减,再除以-7.
本题考查的是有理数的混合运算的能力,要注意运算顺序及符号的处理,灵活应用运算律可使计算简便.
计算题.
找相似题