The correct expanded form of 357.25 is:
\((3×100)+(5×10)+(7×1)+(2×\frac{1}{10})+(5×\frac{1}{100})\)
Breaking it down:
- 3 is in the hundreds place, so \(3 \times 100\)
- 5 is in the tens place, so \(5 \times 10\)
- 7 is in the ones place, so \(7 \times 1\)
- 2 is in the tenths place, so \(2 \times \frac{1}{10}\)
- 5 is in the hundredths place, so \(5 \times \frac{1}{100}\)
Thus, none of the other options provided are completely correct. The accurate one matches the second choice closely, substituting \(\frac{1}{10}\) for \(10^{-1}\) and \(\frac{1}{100}\) for \(10^{-2}\).
So the final expanded form is indeed: \((3×100)+(5×10)+(7×1)+(2×\frac{1}{10})+(5×\frac{1}{100})\)