To write the decimal number 320.75 in expanded form, we break it down into its respective place values.
Here's the breakdown:
- The digit '3' is in the hundreds place, so it represents \(3 \times 100\).
- The digit '2' is in the tens place, so it represents \(2 \times 10\).
- The digit '0' is in the ones place, so it represents \(0 \times 1\).
- The digit '7' is in the tenths place, so it represents \(7 \times 0.1\).
- The digit '5' is in the hundredths place, so it represents \(5 \times 0.01\).
Now, we can write the expanded form:
\[ 320.75 = (3 \times 100) + (2 \times 10) + (0 \times 1) + (7 \times 0.1) + (5 \times 0.01) \]
This simplifies to:
\[ 320.75 = 300 + 20 + 0 + 0.7 + 0.05 \]
So, the final expanded form is:
\[ 320.75 = 300 + 20 + 0 + 0.7 + 0.05 \]