To determine the number of significant digits and the implied precision of the given number, 2509 dollars per acre, let's break down the process step-by-step.
1. Identify the Significant Digits:
- Definition: Significant digits are all the non-zero digits, any zeros between them, and any trailing zeros if they are to the right of the decimal point.
- The number 2509 contains the digits: 2, 5, 0, and 9. All these digits are non-zero or in between non-zero digits.
- Therefore, each of these digits is significant.
2. Count the Significant Digits:
- Place the number 2509 in a column and count each significant digit:
- 2 (1st significant digit)
- 5 (2nd significant digit)
- 0 (3rd significant digit)
- 9 (4th significant digit)
- Altogether, there are 4 significant digits.
Thus, the number 2509 has 4 significant digits.
Answer:
The number 2509 has 4 significant digits.
