To round the number 7,803,100 to the nearest place value, we consider the hundred-thousands place, which is the digit '8' in the number.
Looking at the digit to the right (the ten-thousands place), which is '0', since this is less than 5, we round down. Therefore, rounding 7,803,100 gives us 7,800,000.
Next, we express 7,800,000 in the form of a single digit times an integer power of 10. The number 7,800,000 can be written as:
\[ 7.8 \times 10^6 \]
So, the rounded number expressed in the desired form is:
7.8 × 10^6.