Question

Ajutor............. 40 puncte

Answer 1

c)
12 + 12 · { 12 + 12 · [ 12 + 12 · ( 12 · 12 - 122 )]} + 12 · 12 =
12 + 12 · { 12 + 12 · [ 12 + 12 · ( 144 - 122 )]} + 144 = 
12 + 12 · [ 12 + 12 · ( 12 + 12 · 22 )] +  144 = 
12 + 12 · [ 12 + 12 · ( 12 + 264  )] + 144 = 
12 + 12 · ( 12 + 12 · 276 ) + 144 = 
12 + 12 · ( 12 + 3312 ) + 144 = 
12 + 12 ·3324 + 144 =
12 + 39888 + 144 = 
39900 + 144 = 40044

d)
[100 - 3 · ( 13 ·19 - 12 ·18)] · { 1 + 2 · [ 3 + 4 · (5 + 6 · 7 )]} = 
[100 - 3 · ( 247 - 216 )] · { 1 + 2 · [ 3 + 4 · ( 5 + 42 )]} =
( 100 - 3 · 31 ) · [ 1 + 2 · ( 3 + 4 · 47 )] = 
(100 - 93) · [ 1 + 2 · ( 3 + 188 )] = 
7 · ( 1 + 2 · 191 ) = 
7 · ( 1 + 382 ) = 
7· 383 = 2681

e)
2483 - 23 · [15 + 5· (127 - 119 )]  + 32 · [ 178 - 5 · (345 - 328)] =
2483 - 23 · ( 15 + 5 · 8 ) + 32 · ( 178 - 5 · 17 ) = 
2483 - 23 · ( 15 + 40 ) + 32 · ( 178 - 85 ) = 
2483 - 23 · 55 + 32 · 93 = 
2484 - 1265 + 2976 = 
1219 + 2976 = 4195

f)
{[19 · 6 - 107 + 12 · 8 ] · 2 - 176} + [5467 - 16 · ( 324 - 319 )] =
{[ 114 - 107 + 96 ] · 2 - 176} + ( 5467 - 16 · 5 ) = 
{[ 7 + 96 ] · 2 - 176} + ( 5467 - 80 ) =
[ 103 · 2 - 176 ] + 5387 = 
[ 206 - 176 ] + 5387 = 
30 + 5387 = 5417

Answer 2

c) 
12 + 12 × { 12 + 12 × [ 12 + 12 × ( 12 × 12 - 122 ) ] } + 12 × 12 = 40 044 
= 12 + 12 × { 12 + 12 × [ 12 + 12 × ( 144 - 122 ) ] } + 144 = 
= 12 + 12 × [ 12 + 12 × ( 12 + 12 × 22 ) ] + 144 = 
= 12 + 12 × [ 12 + 12 × ( 12 + 264 ) ] + 144 =
= 12 + 12 × ( 12 + 12 × 276 ) + 144 = 
= 12 + 12 × ( 12 + 3 312 ) + 144 =
= 12 + 12 × 3 324 + 144 =
= 12 + 39 888 + 144 =
= 39 900  + 144 =
= 40 044 

d) 
[ 100 - 3 × ( 13 × 19 - 12 × 18 ) ] × { 1 + 2 × [ 3 + 4 × ( 5 + 6 × 7 ) ] } = 2 681  
= [ 100 - 3 × ( 247 - 216 ) ] × { 1 + 2 × [ 3 + 4 × ( 5 + 42 ) ] } =
= ( 100 - 3 × 31 ) × [ 1 + 2 × ( 3 + 4 × 47 ) ] =
= ( 100 - 93) × ( 1 + 2 × 191 ) =
= 7 × ( 1 + 382 ) =
= 7 × 383 =
= 2 681  

e) 
2 483 - 23 × [ 15 + 5 × ( 127 - 119 ) ] + 32 × [ 178 - 5 × ( 345 - 328 ) ] = 4 194
= 2 483 - 23 × ( 15 + 5 × 8 ) + 32 × ( 178 - 5 × 17 ) =
= 2 483 - 23 × ( 15 + 40 ) + 32 × ( 178 - 85 ) =
= 2 483 - 23 × 55 + 32 × 93 =
= 2 483 - 1 265 + 2 976 = 
= 1 218 + 2 976 =
= 4 194 

f)  → lipseste paranteza rotunda in interiorul parantezei acolada 
{ [ 19 × 6 - 107 + 12 × 8 ] × 2 - 176 } + [ 5 467 - 16 × ( 324 - 319 ) ] = 5 417 
= [ ( 114 - 107 + 96 ) × 2 - 176 ] + ( 5 467 - 16 × 5 ) = 
= [ ( 7 + 96 ) × 2 - 176 ] + ( 5 467 - 80 ) =
= ( 103 × 2 - 176 ) + 5 387 =
= ( 206 - 176 ) + 5 387 =
= 30 + 5 387 =
= 5 417