The expanded form of a number is a way of expressing it as the sum of its individual digit values based on their place value. For the number 29.791, we can break it down as follows:
- The digit '2' is in the tens place, so it represents \(20\).
- The digit '9' is in the units place, so it represents \(9\).
- The digit '7' is in the tenths place, so it represents \(0.7\).
- The digit '9' is in the hundredths place, so it represents \(0.09\).
- The digit '1' is in the thousandths place, so it represents \(0.001\).
Putting this all together, the expanded form of 29.791 is:
\[ 20 + 9 + 0.7 + 0.09 + 0.001 \]