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IES Juan García Valdemora Operaciones combinadas con números enteros y racionales
Departamento de Matemáticas 3º ESO
ENTEROS Y RACIONALES
1. Realiza las siguientes operaciones:
a) ( ) ( ) ( ) =−⋅−−⋅−−⋅ 984656932
b) ( ) ( ) ( ) =−−−⋅+−−⋅− 913122235
c) ( ) ( ) ( ) =⋅−+−−+−⋅ 5813152432
d) ( ) ( ) ( ) ( ) =+−−−−+−⋅−− 89:2153142
e) [ ] =−−+−⋅+⋅− )5(6)71(4234
f) ( ) ( ) ( ) ( )=−−+−−+−⋅− 23:1583213
g) ( ) ( ) ( ) =−⋅−⋅+−⋅− 954631512318
h) ( ) ( ) ( ) ( ) ( ) =−⋅−−−−−⋅− 4108296:8548
i) ( )[ ] =−⋅+⋅− 65410526
j) ( ) ( ) ( )[ ] =⋅−−⋅−−⋅− 48626389
k) ( )[ ] =+⋅−⋅+−⋅ 185245222
l) ( )[ ] ( )[ ] =−⋅−−−⋅+ 68345:25326
m) ( )[ ] ( ) ( )[ ] =−⋅−−−−−⋅+ 33:154769853
n) ( ) ( ) ( ) =+−−⋅⋅−⋅226:5432
o) ( ) =−−+−−−⋅1322 2:)4(])86()3[(2
2. Realiza las siguientes operaciones:
a) ( ) ( ) ( ) =−⋅−−−⋅−+−⋅+−243
912)4(6561245
b) ( ) ( ) ( ) ( ) =+−−−−+−−−234
2481:18243
c) ( ) ( ) ( ) =−⋅−−−−−+−−⋅− 98965]3232[812522
d) =−⋅−−+−−⋅−−+− )4()3()623()78()6(:12
e) ( ) ( ) ( ) ( ) =−−+⋅−⋅+−− 3:15526362:)40( 3
f) ( ) ( ) =−⋅−−⋅−+−233
104)]3()2(1[:5
g) ( ) ( ) ( ) =−−−−++⋅−⋅−⋅13
13]32:2452635[3
h) ( ) ( ) ( ) ( ) =−−−⋅−+−−⋅−102252
1]2324[53
i) ( ) ( )( )[ ] ( ) =−−⋅−−⋅+−−⋅−02
31458643
j) ( ) =−−−⋅− )]362(:24[712352
k) ( ) =−−+−−−−+−−1)76(:)20()3(:)39(37:12
l) ( ) ( )[ ] ( )[ ]=+−−−−−+−− )41()1(7:5214422 12
m) ( ) ( ) ( ) ( ) [ ] ( ) =+−⋅−−−−−−+⋅7123
23)8(453:242-8-5
n) [ ] ( ) ( ) =+−⋅⋅−−+−+−3
122913)213(:553425
o) ( )=⋅+−−−+− 4316:)1812()2(:2 34
p) ( ) ( )[ ] ( ) ( )( )[ ] =−⋅−−−−⋅− 932:25:3116
q) ( ) ( ) =−−−+−−⋅+−−132303
)3(]8)13[(862:5
IES Juan García Valdemora Operaciones combinadas con números enteros y racionales
Departamento de Matemáticas 3º ESO
r) ( ) ( ) ( )( ) ( ) =+−−+−⋅−⋅−−014
58:)27(14:642741:52
s) ( ) ( ) ( ) ( ) ( ) ( ) =+−⋅⋅+−−−−⋅+−++−⋅+− 86369]2235:1349[6834
t) ( ) =+−+−−−⋅−−−− ])53(9:)18[()]2(9)4(:)8[(:2 05
3. Calcula y simplifica:
a) =−��
���
�+
4
3
6
2
3
1:
3
4
b) =��
���
�+⋅+�
�
���
�−⋅
11
41
5
3
10
1
2
1
11
5
c) =−+⋅−5
3:
4
1
3
5
3
2
5
4
3
2:
10
4
d) =��
���
�−+�
�
���
�−
2
1
4
1
10
3
5
1:
5
2
e) =−��
���
�⋅+
16
9
3
1
4
3
2
32
f) =−+⋅−7
3:
4
3
3
1
3
4
5
4
3
2:
10
6
g) =−+⋅��
���
�−
5
3:
4
1
3
5
3
2
5
1
3
2:
10
4
h)( )
=��
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�
��
�
�
−−+−+�
�
���
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2
26
1
3
2
3
4
4
1
6
5
2
7
3
2
i) =⋅−+��
���
�−⋅
5
3
4
1
3
5:
3
2
5
1
3
2
10
4
j) =
+
��
���
�−−
14
3
14
3
2
1
k) =
+⋅��
���
�−
��
���
�−⋅�
�
���
�−
13
4
6
5
12
7
6
5
4
3
9
5
3
2
l) =
+
+
−
−−
+−
5
6
3
2
3
1
2
1
4
6
5
21
3
2
3
6
5
2
m) =��
���
�−⋅−�
�
���
�+⋅
4
3
5
4
7
3
3
2:
4
3
2
1
3
5
n) =���
����
�−⋅�
�
���
�+��
���
�−⋅�
�
���
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5
3
25
16
2
1
3
11
2
11
2
.
4. Calcula y simplifica:
a) =��
���
�+⋅+�
�
���
�−⋅−
3
2:
2
1
3
1
4
31
2
1
9
16
b) ( ) =−⋅+��
���
�−⋅− 2
8
31
4
1
3
23
2
c) =��
�
���
���
�+⋅−�
�
���
�⋅+−
3
51
4
12:
4
1
3
2
6
5
2
5
d) =��
���
�−⋅−�
�
���
�−⋅
22
6
5
3
1
36
1
2
1
4
3
3
2
e) =��
���
�−+�
�
���
�+
−− 12
2
1
4
1:31
2
1:5
f) =���
�
���
���
�−�
�
���
�−−−−
−1
33
1:1
20
17
5
33
8
3
g) =��
���
�−
���
�
���
���
�−+�
�
���
�−
−− 12
2
3:1
3
2:13
9
1
3
2
h) =
⋅��
���
�−
+��
���
�−
6
5
4
3
3
2
13
2:
8
7
4
1
i) =
��
���
�−−
��
���
�−+−
−1
4
3
2
1:
25
41
15
2
5
3
4
11
