To identify the numerator of the fraction [tex]\(\frac{7}{512}\)[/tex], we need to recall that the numerator is the number above the fraction line. This represents how many parts of the whole are being considered.
In the given fraction [tex]\(\frac{7}{512}\)[/tex]:
- The number 7 is above the fraction line.
- The number 512 is below the fraction line, representing the denominator.
Therefore, the numerator is:
[tex]\(\boxed{7}\)[/tex]