Question

exercitiul 5 si un Subpunct e bun​

Answer 1

Răspuns:

Explicație pas cu pas:

b)

2,5(7) + 3,4(2)

2,5(7) = (257 - 25)/90 = 232/90

3,4(2) = (342 - 34)/90 = 308/90

2,5(7) + 3,4(2) = 232/90 + 308/90 = 540/90 = 6, numar natural

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c)

2,4(3) + 0,3(6)

2,4(3) = (243 - 24)/90 = 219/90

0,3(6) = (36 - 3)/90 = 33/90

219/90 + 33/90 = 252/90

0,04 = 4/100 = 1/25

fractia devine

(252/90) / (1/25) = 252/90 * 25 = 252*25/90 = 70, numar natural

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d)

0,(1) + 0,(2) + ....+ 0,(8) = 1/9 + 2/9 + ....+ 8/9 = 36/9 = 4, numar natural