Question

Numărul rațional 8,(6)-7,(7) are partea întreaga egala cu:
a) 0
b) 1
c) 6
d) 7
e) 8

Answer 1

$8.(6) = \frac{86 - 8}{9} = \frac{78}{9} = \frac{26}{3}$

$7.(7) = \frac{77 - 7}{9} = \frac{70}{9}$

$8.(6) - 7.(7) = \frac{26}{3} - \frac{70}{9} = \frac{78}{9} - \frac{70}{9} = \frac{78 - 70}{9} = \frac{8}{9} = 0.(8)$

$[0.(8)]=0 = > a) \: 0$