To determine which number is a rational, terminating decimal, we can analyze each option:
A. \( \frac{5}{11} \) – This is a rational number, but when calculated, it produces a repeating decimal: \( 0.454545...\).
B. \( 0.363636... \) – This is a repeating decimal (specifically, it represents \( \frac{4}{11} \)), so it is not a terminating decimal.
C. \( \sqrt{64} = 8 \) – This is a whole number, which is also a rational number. Whole numbers can be expressed as terminating decimals (in this case, \( 8 = 8.0 \)).
D. \( \frac{7}{9} \) – This is a rational number, but it produces a repeating decimal: \( 0.7777...\).
Among these options, the only number that is a rational, terminating decimal is:
C. \( \sqrt{64} \).