Question

Calculați aplicând proprietatea asociativității ( scoateți factorul comun în fața):
1/ 32x1/2+1/2x1/64+4/8-1/4

Answer 1

1/32 × 1/2 + 1/2 × 1/64 + 4/8 - 1/4 =

= 1/32 × 1/2 + 1/2 × 1/64 + 1/2 × 4/4 - 1/2 ×1/2 =

=1/2 × (1/32 + 1/64 + 1 - 1/2) =

= 1/2 × (2/64 +1/64 + 64/64 - 32/64) =

= 1/2 × 35/64 =

= 35/128

Answer 2

Răspuns:

Explicație pas cu pas:

(1/32) × (1/2) + (1/2) × 1/64 + 4/8 - 1/4

= (1/2) × ( 1/32 + 1/64 ) + 1/4 × ( 4/2 - 1 ) =

= (1/2) × (2/64 + 1/64) + 1/4 × ( 2 - 1 ) =

= (1/2) × 3/64 + 1/4 =

= (1/2) × (3/64 ) + (1/2) ×  1/2 =

= (1/2) × ( 3/64 + 1/2) =

= (1/2) × ( 3/64 + 32/64) =

= (1/2) × 35/64 =

= 35/128