试题

题目:
(1)1-
4
7
+
1
5
-
3
7
+
9
5

(2)9
18
19
×15

(3)1÷(-
2
7
1
7

(4)(-
1
4
+
1
6
-
1
8
+
1
12
)×(-48)

(5)1
1
2
×
5
7
-(-
5
7
)×2
1
2
+(-
1
2
)÷1
2
5

(6)(-81)÷2
1
4
×(-
4
9
)÷8

答案
解:(1)1-
4
7
+
1
5
-
3
7
+
9
5

=1-(
4
7
+
3
7
)+(
1
5
+
9
5

=1-1+2
=2;

(2)9
18
19
×15

=(10-
1
19
)×15
=10×15-
1
19
×15
=150-
15
19

=149
4
19


(3)1÷(-
2
7
1
7

=-1×
7
2
×
1
7

=-
1
2


(4)(-
1
4
+
1
6
-
1
8
+
1
12
)×(-48)

=
1
4
×48-
1
6
×48+
1
8
×48-
1
12
×48
=12-8+6-4
=6;

(5)1
1
2
×
5
7
-(-
5
7
)×2
1
2
+(-
1
2
)÷1
2
5

=1
1
2
×
5
7
+
5
7
×2
1
2
-
1
2
×
5
7

=
5
7
×(1
1
2
+2
1
2
-
1
2

=
5
7
×
7
2

=2
1
2


(6)(-81)÷2
1
4
×(-
4
9
)÷8

=81×
4
9
×
4
9
×
1
8

=2.
解:(1)1-
4
7
+
1
5
-
3
7
+
9
5

=1-(
4
7
+
3
7
)+(
1
5
+
9
5

=1-1+2
=2;

(2)9
18
19
×15

=(10-
1
19
)×15
=10×15-
1
19
×15
=150-
15
19

=149
4
19


(3)1÷(-
2
7
1
7

=-1×
7
2
×
1
7

=-
1
2


(4)(-
1
4
+
1
6
-
1
8
+
1
12
)×(-48)

=
1
4
×48-
1
6
×48+
1
8
×48-
1
12
×48
=12-8+6-4
=6;

(5)1
1
2
×
5
7
-(-
5
7
)×2
1
2
+(-
1
2
)÷1
2
5

=1
1
2
×
5
7
+
5
7
×2
1
2
-
1
2
×
5
7

=
5
7
×(1
1
2
+2
1
2
-
1
2

=
5
7
×
7
2

=2
1
2


(6)(-81)÷2
1
4
×(-
4
9
)÷8

=81×
4
9
×
4
9
×
1
8

=2.
考点梳理
有理数的混合运算.
(1)先算同分母分数,再相加即可;
(2)(4)(5)运用乘法的分配律计算;
(3)(6)将除法变为乘法,再约分计算即可.
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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