To write the number 357.25 in expanded form, we need to break it down into its place values:
- The '3' is in the hundreds place: \(3 \times 100\)
- The '5' is in the tens place: \(5 \times 10\)
- The '7' is in the ones place: \(7 \times 1\)
- The '2' is in the tenths place (which is \(0.1\) or \(1/10\)): \(2 \times \frac{1}{10}\)
- The '5' is in the hundredths place (which is \(0.01\) or \(1/100\)): \(5 \times \frac{1}{100}\)
Putting it all together, the expanded form is:
\[ (3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times \frac{1}{10}) + (5 \times \frac{1}{100}) \]
Now, let's match this with the given options:
A. \((3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times \frac{1}{10}) + (5 \times \frac{1}{100})\)
B. \((3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times \frac{1}{10}) + (2 \times \frac{1}{100})\)
C. \((3 \times 100) + (5 \times 10) + (7 \times 1) + (5 \times \frac{1}{10}) + (2 \times \frac{1}{100})\)
D. \((3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times \frac{10}{10}) + (5 \times \frac{1}{1,000})\)
The correct option is A:
\((3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times \frac{1}{10}) + (5 \times \frac{1}{100})\)