Let's analyze each statement given in the question to determine which one is true:
A. [tex]\( 15 - 0 = 0 \)[/tex]
When you subtract zero from any number, the value of the number does not change. So:
[tex]\[ 15 - 0 = 15 \][/tex]
This statement is false.
B. [tex]\( 15 + 0 = 0 \)[/tex]
When you add zero to any number, the value of the number does not change. So:
[tex]\[ 15 + 0 = 15 \][/tex]
This statement is false.
C. [tex]\( \frac{0}{15} = 0 \)[/tex]
When zero is divided by any nonzero number, the result is always zero. So:
[tex]\[ \frac{0}{15} = 0 \][/tex]
This statement is true.
D. [tex]\( \frac{15}{0} = 0 \)[/tex]
Division by zero is undefined in mathematics. You cannot divide a number by zero, so this statement is not true.
Given the analysis of each option, the correct and true statement is:
[tex]\[ \frac{0}{15} = 0 \][/tex]
Thus, the best answer to the question is:
C. [tex]\( \frac{0}{15} = 0 \)[/tex]
