Question

prove that 7.478 is a rational number​

Answer 1

Answer:

no the 4.478 it is not a rational number.

Answer 2

Answer...

$\tt {7.478 = 7.\overline{478}}$

Let's x = $\tt {7.478478.....}$........ [equation 1]

1000x = $\tt{7478.478478...}$........... [equation 2]

Subtract equation 2 from equation 1

$\tt {=1000x - x = 7478.478478.... - 7.479478....}$

$\tt {999x = 7471}$

$\tt {x = \frac{7471}{999}}$

Hence, Proved..that 7.478 is a rational number.