To write the given expression in Standard Form, we first need to simplify it.
The expression is:
\[ (3 \times 100) + (1 \times 10) + (2 \times 1) + (4 \times \frac{1}{10}) \]
Calculating each term:
- \(3 \times 100 = 300\)
- \(1 \times 10 = 10\)
- \(2 \times 1 = 2\)
- \(4 \times \frac{1}{10} = 0.4\)
Now, we can add these values together:
\[ 300 + 10 + 2 + 0.4 = 312.4 \]
Next, we convert \(312.4\) into Standard Form. Standard Form (often referred to as scientific notation) is expressed in the form:
\[ a \times 10^n \]
where \(1 \leq a < 10\) and \(n\) is an integer.
For \(312.4\):
\[ 312.4 = 3.124 \times 10^2 \]
Thus, the number in Standard Form is:
\[ \boxed{3.124 \times 10^2} \]