To round the number 4,567,985 to 4 significant figures, we need to follow these steps:
### Step-by-Step Solution:
1. Identify the First Four Significant Digits:
The number we are given is 4,567,985. The first four significant digits are 4, 5, 6, and 7.
2. Determine the Place Value to Round:
The fourth significant digit is '7', which is in the thousands place. Thus, we should round to the nearest thousand.
3. Look at the Next Digit:
The digit following the fourth significant digit (which is '7' in the thousands place) is '9'. This is in the hundreds place.
4. Apply Rounding Rules:
Since the next digit '9' is 5 or greater, we round up. This means the thousands place digit '7' will be rounded up to '8'.
5. Replace Following Digits with Zeros:
All digits following the thousands place will turn into zeros to complete the rounding process.
### Final Rounded Value:
Given the rules of significant figures and rounding, the number 4,567,985, when rounded to 4 significant figures, becomes 4,568,000.
Therefore, the rounded value of 4,567,985 to 4 significant figures is:
[tex]\[
\boxed{4,568,000}
\][/tex]
