Svolgimento espressioni con i numeri naturali
Espressione n° 1
[ (9 + 1 – 6 ) x (3 x 4 – 2)] : {10 x 2 – [ 4 x (5 + 1- 3) ]} (5)
Espressione n° 2
[17 – (15 – 3): 4] x 2 – [ (3 + 4) x 4] (0)
Espressione n° 3
{[10 x (3 + 2) ] : [16 + 3 x 3]} + 3 x (2 + 1) (11)
Espressione n° 4
{15 – [13 + (2 + 14) : (2 + 2 x 3) – 3]} : [(2 + 7) : 3] (1)
Espressione n° 5
[ (2 – 1) x 7 + 5 ] : [3 – (1 – 1)]+ [15 – 3 x (1 + 2)] (10)
Espressione n° 6
[ (10 + 3 -9) x (3 x 2 – 4) ] : [(14 + 24 – 30 – 6) x (40 – 10 + 2 – 30)] (2)
Espressione n° 7
(16 x 2 – 18) : [ 48: (69 : 3 + 1) ] x {6 x 3 – [40 – (9 x 8 – 2) : 2] – 10} (21)
Espressione n° 8
13 – {8 x 15- [ (7 x 5 + 5) : 8 + 20 : (28 : 4 – 3)] } : 11 (3)
Espressione n° 9
{2 + 2 x 6 x [36 – (4 + 7 x 4) + 48 : (4 + 4 x 11)] + (100 : 2) : (45 : 3 + 35)} : {21 – [140: 7 – (2+2 x 2)]} (9)
Svolgimento
Espressione n° 1
[ (9 + 1 – 6 ) x (3 x 4 – 2)] : {10 x 2 – [ 4 x (5 + 1- 3) ]}=Svolgiamo i calcoli all’interno delle parentesi
= [ 4 x 10] : {10 x 2 – [ 4 x 3 ]}=
Eseguiamo i calcoli all’interno delle parentesi quadre
= 40 : {10 x 2 -12}=
Svolgiamo i calcoli all’interno della graffa
= 40 : {20 – 12}= 40 : 8= 5
Espressione n° 2
[17 – (15 – 3): 4] x 2 – [ (3 + 4) x 4] == [17 – 12 : 4] x 2 – [ 7 x 4] =
= [17 -3] x 2 – 28 =
=14 x 2 – 28 =
= 28 – 28 = 0
Espressione n° 3
{[10 x (3 + 2) ] : [16 + 3 x 3]} + 3 x (2 + 1) =
= {[10 x 5 ] : [16 + 3 x 3]} + 3 x 3 =
= {50 : [16 + 9]} + 3 x 3 =
= {50 : 25} + 3 x 3 =
= 2 + 3 x 3 =
= 2 +9= 11
Espressione n° 4
{15 – [13 + (2 + 14) : (2 + 2 x 3) – 3]} : [(2 + 7) : 3] =
= {15 – [13 + 16 : (2 + 6) – 3]} : [9 : 3] =
= {15 – [13 + 16 : 8 – 3]} : [9 : 3] =
= {15 – [13 + 2 – 3]} : 3 =
= {15 – 12} : 3 =
= 3: 3 = 1
Espressione n° 5
[ (2 – 1) x 7 + 5 ] : [3 – (1 – 1)]+ [15 – 3 x (1 + 2)]== [ 1 x 7 + 5 ] : [3 -0]+ [15 – 3 x 3]=
= [ 7 + 5 ] : [3 -0]+ [15 – 9]=
= 12 : 3+ 6=
= 4+ 6= 10
Espressione n° 6
[ (10 + 3 -9) x (3 x 2 – 4) ] : [(14 + 24 – 30 – 6) x (40 – 10 + 2 – 30)] == [ 4 x (6 – 4) ] : [(38 – 30 – 6) x (30 + 2 – 30)] =
= [ 4 x 2 ] : [2 x 2] =
= 8:4 = 2
Espressione n° 7
(16 x 2 – 18) : [ 48: (69 : 3 + 1) ] x {6 x 3 – [40 – (9 x 8 – 2) : 2] – 10}=
= (32 – 18) : [ 48: (23 + 1) ] x {6 x 3 – [40 – (72- 2) : 2] – 10}=
= 14 : [ 48: 24 ] x {6 x 3 – [40 – 70 : 2] – 10}=
= 14 : 2 x {6 x 3 – [40 – 35] – 10}=
= 14 : 2 x {6 x 3 – 5 – 10}=
= 14 : 2 x {18 – 5 – 10}=
= 14 : 2 x 3=
= 7 x 3 = 21
Espressione n° 8
13 – {8 x 15- [ (7 x 5 + 5) : 8 + 20 : (28 : 4 – 3)] } : 11=
= 13 – {8 x 15 – [ (35 + 5) : 8 + 20 : (7- 3)] } : 11 =
= 13 – {8 x 15 – [ 40 : 8 + 20 : 4] } : 11 =
= 13 – {8 x 15 – [ 5+5] } : 11 =
= 13 – {8 x 15 – 10 } : 11 =
= 13 – {120 – 10 } : 11 =
= 13 – 110 : 11 =
= 13 – 10 = 3
Espressione n° 9
{2 + 2 x 6 x [36 – (4 + 7 x 4) + 48 : (4 + 4 x 11)] + (100 : 2) : (45 : 3 + 35)} : {21 – [140 : 7 – (2 + 2 x 2)]} =
={2 + 2 x 6 x [36 – (4 + 28) + 48 : (4 + 44)] +50 : (15 + 35)} : {21 – [140 : 7 – (2 + 4)]} =
={2 + 2 x 6 x [36 – 32 + 48 : 48] +50 : 50} : {21 – [140 : 7 – 6]} =
={2 + 2 x 6 x [36 – 32 + 1] +50 : 50} : {21 – [20 – 6]} =
={2 + 2 x 6 x 5 +50 : 50} : {21 – 14} =
={2 + 12 x 5 +1} : {21 – 14} =
={2 + 60 +1} : 7 =
=63 : 7 = 9