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. Arătați că numărul a=[0,5x0,(6)+1/6]:[tex]2^{-2}[/tex] este natural.

Răspuns :

MFM

[5/10 x6/9 +1/6]: 1/2²=

[1/2x2/3 +1/6]:1/4=

[2/6+1/6]:1/4=

3/6:1/4=

3/6x4/1=12/6=2

a=[0,5×0,(6)+1/6]:2⁻²

a=(5/10×6/9+1/6):1/2²

a=(1/2×2/3+1/6):1/4

a=(1/3+1/6):1/4

a=(2/6+1/6):1/4

a=3/6:1/4

a=1/2:1/4

a=1/2×4

a=2∈N