Let's carefully analyze the statement provided:
"A zero that appears in front of all of the nonzero digits is right-end zero."
### Definitions:
1. Leading Zero:
- A zero that appears in front of all nonzero digits. For example, in the number 007, the zeros in front of 7 are leading zeros.
2. Right-End Zero (Trailing Zero):
- A zero that appears at the end of a number after all nonzero digits. For example, in the number 1200, the two zeros at the end of the number are right-end zeros.
### Analysis:
- Leading Zero: If a zero is placed before all nonzero digits, it most certainly cannot be at the end of the number. For example, in 0034, the two zeros at the front are not at the end; they are simply leading zeros.
- Right-End Zero: This zero must be at the end of the number after all nonzero digits. For instance, in the number 4500, both zeros at the end of the number are trailing or right-end zeros.
Based on these definitions and the analysis provided, we can clearly say that:
- A zero that appears at the front (leading zero) is not a right-end zero (trailing zero).
### Conclusion:
The statement, "A zero that appears in front of all of the nonzero digits is right-end zero," is FALSE.
Therefore, the correct answer is:
- b. FALSE
