Question

3. Calcular as geratrizes das seguintes dízimas periódicas compostas: Registre todos os cálculos de cada item. a) 0,34848... b) 0,4588... c) 20,7888.. d) 15,6222... e) 12,3444... f) 7,2355... g) 3,566... h) 0,344...

Answer 1

Resposta:

Explicação passo-a-passo:

a)  0,34848... = 348-3\990 = 345\990 = 69\198 = 23\66

b)  0,45888... = 458-45\900 = 413\900

c)  20,7888... = 20 + 78-7\90 = 20 + 71\90 =

20.90+71\90 = 1871\90

d)  15,6222... = 15 + 62-6\90 = 15 + 56\90 =

15.90+56\90 = 1406\90 = 703\45

e)  12,3444... = 12 + 34-3\90 = 12 + 31\90 =

12.90+31\90 = 1111\90

f)  7,23555... = 7 + 235-23\900 = 7 + 212\900 =

7.900+212\900 = 6512\900 = 3256\450 = 1628\225

g)  3,5666... = 3 + 56-5\90 = 3 + 51\90 =

3.90+51\90 = 321\90 = 107\30

h)  0,3444... = 34-3\90 = 31\90

Answer 2

Resposta:

0,3444

10x=34,444

X=3,444

10x-x=34,444..... -3,444

9x=31

X=31/9