To convert the expression \(4 \times 1 + 3 \times \frac{1}{10} + 2 \times \frac{1}{100} + 2 \times \frac{1}{1000}\) into a decimal number, we will evaluate each term:
- \(4 \times 1 = 4\)
- \(3 \times \frac{1}{10} = 0.3\)
- \(2 \times \frac{1}{100} = 0.02\)
- \(2 \times \frac{1}{1000} = 0.002\)
Now we add these results together:
\[ 4 + 0.3 + 0.02 + 0.002 \]
Starting from the left:
- \(4 + 0.3 = 4.3\)
- \(4.3 + 0.02 = 4.32\)
- \(4.32 + 0.002 = 4.322\)
Thus, the expression as a decimal number is:
\[ \boxed{4.322} \]