Let's evaluate each statement to determine which one is true.
Option A: [tex]\( 15 \div 0 = 0 \)[/tex]
- Division by zero is undefined in mathematics. You cannot divide a number by zero. Therefore, this statement is false.
Option B: [tex]\( 15 + 0 = 0 \)[/tex]
- Adding zero to any number does not change the value of that number. Therefore, [tex]\( 15 + 0 = 15 \)[/tex], not 0. This statement is false.
Option C: [tex]\( 0 \div 15 = 0 \)[/tex]
- Dividing zero by any non-zero number results in zero. Therefore, [tex]\( 0 \div 15 = 0 \)[/tex]. This statement is true.
Option D: [tex]\( 15 - 0 = 0 \)[/tex]
- Subtracting zero from any number does not change the value of that number. Therefore, [tex]\( 15 - 0 = 15 \)[/tex], not 0. This statement is false.
Therefore, the correct answer is:
C. [tex]\( 0 \div 15 = 0 \)[/tex]