To determine the place value of the digit 3 in the number 27.4359, we need to follow these steps:
1. Identify the position of the digit: The digit 3 appears in the decimal part of the number, which starts right after the decimal point.
2. Count the position starting from the decimal point:
- The first digit after the decimal point is 4, which is in the tenths place.
- The second digit after the decimal point is 3, which is in the hundredths place.
3. Determine the place value:
- Since the digit 3 is in the hundredths place, its place value is \(1 \times \frac{1}{100} = 0.01\).
However, for another way of expressing this value, consider its scientific notation:
[tex]\[
0.01 = 10^{-2} \implies 1 \cdot 10^{-2}.
\][/tex]
Given the special notation required, the way to represent the place value of the 3 aligned with the initial result would be:
[tex]\[1e^{-2}\][/tex]
So the solution is \(1e^{-2}\).
Thus, the place value of the 3 in 27.4359 is [tex]\(\boxed{1e^{-2}}\)[/tex].
