Question

Pls raspundeti repede.Cu explicati matematice daca se poate.​

Answer 1

Răspuns:

C.

Explicație pas cu pas:

Metoda 1.

2,1(4) =193/90 = 99*193/99*90=19107/8910

2,(14)=212/99=90*212/90*99=19080/8910

2,14=90*99*2,14/90*99=19067,4/8910

2.144=90*99*2,144/90*99=19103,04/8910

Ignorand numitorul comun, numararoarele se scriu ordonat:

19067,4 < 19080 < 19103,04 < 19107 , deci in consecinta

2,14 < 2,(14) < 2,144 < 2,1(4)

Metoda 2.

2,(14)= 2,14(14) = 2,14 + 0,00(14) = 2,141(41) = 2,141 + 0,000(41)

2,144= 2,141 + 0,003 = 2,141  + 0,000(41) + 0,002(58)

2,1(4)= 2,144(4) = 2,144 + 0,000(4)

Asadar

2,(14) = 2,14 + 0,00(14)

2,144 = 2,(14) + 0,002(58)

2,1(4) = 2,144 + 0,000(4),

deci

2,14 < 2,(14) < 2,144 < 2,1(4)