−3 3 −2 3 3 +   + ( −3) 2 ⋅  −  + ( −3) −3  3 6 2  Se 1) The document contains 8 math expressions to solve. It provides the solutions and steps to solving each one. 2) The expressions involve fractions, exponents, addition, subtraction, multiplication, and division. 3) The solutions simplify the expressions and calculate the final numeric value or fraction.

1. I.T.I.S. “E. MAJORANA”
Corso Serale
di Grugliasco(TO)
Matematica
Espressioni numeriche
Risolvere le seguenti espressioni:
1)
3
3  11 
1   3  1
 2 − : −   ⋅
− −
7  7  14   2   15
 1  1 1  1   1 2
⋅ − ⋅  +  +  : − 1
 10  3 2  4   2 
2
3)
 3 2   4 
 4 + 3  ⋅  − 17 
 


4)
 1   1   1  1
 2   1
1 +  ⋅ 1 −  ⋅ 1 +  ⋅ 1 −  − ( 2) −2 + 1 −  ⋅ 1 − 
 2   2   3  3
 3   3
5)
3

3 
2
3  3

 + 2  − 4 ⋅  + 1 + 9 ⋅   − 4 ⋅  − 1 +  − 2 
2

2 
 3
2  2

6)
−2
−3

1 
1 
1 1
 −1 +  : −2 +   + ( −3) 2 ⋅  −  + ( −3) −3

3 6
2 
2 

7)
( −3) ⋅ ( 3) ⋅ ( 2)
8)
−3
3
5
 1 
 1  11  1 
 −  ⋅  −5 ⋅ ( −2 ) − 2 −  −  +  − :  −2 +  + 2
 2 
 2
6 3 
3
2
2

 5 3  1
:  −6 ⋅  −   −
 6 4  4

2
Se
2
−3
3
−2
3
3
rso
3
ra
le
2)
 6
− 
 5
Co
−1
−1
2
−1
Espressioni numeriche
−1
3
 1  −2  3  −3 
1
+  −  : −   −   − 1
 3
 2   2  
Pag. 1 di 3
3

2. I.T.I.S. “E. MAJORANA”
Corso Serale
di Grugliasco(TO)
Matematica
Soluzioni.
es.1.
3
3 11 
1   3   1 3 11  28 − 1   27  1
−  − 2 −  : −   ⋅ = −  − 
 : −  ⋅ =
7 7 
14   2   15 7  7  14   8  15



3 11  27   8  1 3 11 4  1 3 11 + 4  1 3 15 1 3 1 2
= −  −   ⋅  −  ⋅ = −  +  ⋅ = − 
⋅ = − ⋅ = − =
7  7  14   27  15 7  7 7  15 7  7  15 7 7 15 7 7 7

es.2.
2
2
36  1  2 + 3  1   1 − 2 
 6   1  1 1  1  1 
⋅ − ⋅
:
 −  ⋅ − ⋅  +  +  :  − 1 =
+
 =
25  10  6  4   2 
 5   10  3 2  4   2 


2
2
ra
le
2
36  1 5 1   1 
36  1 1  1 36  − 1 + 3 
36  2 
=
⋅ − ⋅ +  :  −  =
⋅ − +  : =
⋅
 ⋅ 4 = 25 ⋅ 12  ⋅ 4 =
25  10 6 4   2 
25  12 4  4 25  12 
 
2
2
2
2
36  1 
36 1
1
4
⋅  ⋅4 =
⋅ ⋅4 =
⋅4 =
25  6 
25 36
25
25
es.3.
2
2
Se
=
2
2
2
2
 3 2   4  
1  9 + 8   4  
1
 5 3 
 10 − 9 
 4 + 3  ⋅  − 17  : − 6 ⋅  6 − 4  − 4 =  12  ⋅  − 17  : − 6 ⋅  12  − 4 =
 
 


 
 




2
2
 17   4  
1  1  1 
1 1 1 1 1
1 4 1
 1 
=   ⋅  −  : − 6 ⋅   − = −  : −  − = : − = ⋅ 4 − = − =
4  3  2 
4 9 4 4 9
4 9 4
 12 
 12   17  
16 − 9 7
=
=
36
36
2
Co
rso
2
es.4.
2
 1  1
1 +  ⋅ 1 − 
 2  2
3
−3
 1  1
 2  1
−2
⋅ 1 +  ⋅ 1 −  − (2 ) + 1 −  ⋅ 1 −  =
 3  3
 3  3
−3
 2 + 1  2 −1  3 + 1  3 −1  1   3 − 2   3 −1
=
 ⋅
 ⋅
⋅
−  +
 ⋅
=
 2   2   3   3  2  3   3 
2
2
3
2
−3
3
1 1
2
 3 1  4  2 1 1  2 9 1 4 2 1
3 2
=   ⋅   ⋅   ⋅   − +   ⋅   = ⋅ ⋅ ⋅ − + (3) ⋅   = − + 27 ⋅ = 18
3
 2  2  3  3 4 3  3 4 8 3 3 4
3 4 4
Espressioni numeriche
Pag. 2 di 3

3. I.T.I.S. “E. MAJORANA”
Corso Serale
di Grugliasco(TO)
Matematica
es.5.
3
3
−2
3
3
3

3 
2
3  3

 + 2  − 4 ⋅  + 1 + 9 ⋅   − 4 ⋅  − 1 +  − 2  =
2

2 
3
2  2

3+ 4
3+ 2
3
3−2 3−4
=
 − 4⋅
 + 9⋅  − 4⋅
 +
 =
 2 
 2 
2
 2   2 
3
3
2
3
3
9
343
125 81
1 1
7
5
 1   −1
=   − 4⋅  + 9⋅ − 4⋅  +   =
− 4⋅
+ − 4⋅ − =
4
8
8
4
8 8
2
2
2  2 
343 500 81 4 1 343 − 500 + 162 − 4 − 1 0
=
−
+ − − =
= =0
8
8
4 8 8
8
8
3
3
3
ra
le
3
es.6.
−2
−3

1 
1 
 − 1 +  :  − 2 +  
2 
2 



 − 4 + 1
:

 2 
−3
1
2 1
−3
+ (− 3) ⋅  −  + (− 3) =
3 6
−1
3

 − 1  − 2
 2 −1  1 
+ 9⋅
+  −  =  


 6   3

 2 


−1
 − 3
:

 2 
−3
−1

1 1
=
 + 9⋅  −
 6  27


Se
 − 2 + 1  − 2


 2 

−1
−1
−1
3


3 1   8 
3 1   27 
3 1
2 3 1
2 −2
= (− 2) : 
= 4 :  −   + −
= 4 ⋅  −   + −
=−
+ −
=
  + −
2 27   27 
2 27   8 
2 27
27 2 27
 3  



3 3
1 3 − 2 + 27 25
+ =− + =
=
27 2
9 2
18
18
es.7.
(− 3) ⋅ (3) ⋅ (2)
2
−1
−1
rso
=−
 1  − 2  3  −3 
+  −  :  −  
 2 
 2 


−1
−1
3
3
1 1 
2 
1
2 
−   − 1 = 9 ⋅ ⋅ + (− 2 ) :  −  
3 2 
3
 3 


es.8.
−1
Co
3   8 
1
3   27 
+  4 :  −  −
− 1 = +  4 ⋅  − 
2   27 
27
2   8 
3 3
3 1
27 − 2 − 18 7
= −
−1 = − −1 =
=
2 27
2 9
18
18
=
−
−1
−
1
−1 =
27
−1
1
3  27 
1
3 2
1
− 1 = + −  −
−1 = −
−
−1 =
27
2  2
27
2 27 27
−3
3
5
 1 
 1  11 1 
−2
−  ⋅ − 5 ⋅ (− 2 ) −  −  +  − :  − 2 +  + 2 =

6 3 
3
 2 
 2


2


 1   1  11 1  − 6 + 5 
 1  1 11 1  − 1 
3
= (− 2) ⋅ − 5 ⋅  −  −  −  +  − : 
 + 2 = −8 ⋅  − 5 ⋅   + +  − :   + 2 =
 2  8 6  3  3 
4 8 6  3  3 




 5 1 11 1
 − 40 + 3 + 33 
− 6
= −8 ⋅ − + +  − ⋅ (− 3) + 2 = −8 ⋅ 
 + 1 + 2 = −8 ⋅  24  + 1 + 2 = 2 + 1 + 2 = 5
24
 4 8 6 3


 
Espressioni numeriche
Pag. 3 di 3