Question

Write the expanded form of 357.25 (1 point)

0 (3 × 100) + x + +(7x1) + (2×100)

0 (3 × 100) + (5 × 10) + (7×1) + (2x10 +(5×100)

0(3× 100) +(5×10) +(7x1) +(2x16) + (5x1,000)

0(3 × 100) +(5×10) +(7×1) + (5x10) +(2x100)

Answer 1

To write the expanded form of 357.25, we need to break down the number into its place values:

- The digit 3 is in the hundreds place: \(3 \times 100\)
- The digit 5 is in the tens place: \(5 \times 10\)
- The digit 7 is in the ones place: \(7 \times 1\)
- The digit 2 is in the tenths place (after the decimal): \(2 \times 0.1\) (which can also be considered as \(2 \times 10^{-1}\))
- The digit 5 is in the hundredths place: \(5 \times 0.01\) (which can also be considered as \(5 \times 10^{-2}\))

So the correct expanded form is:

\[
(3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times 0.1) + (5 \times 0.01)
\]

None of the options given perfectly match this expanded form, but if we're to interpret the decimal values as part of the hundredths and tenths place, the closest and correct standard form is:

\[
(3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times 10) +(5 \times 100)
\]

However, this option is not among your provided choices.

For correctness, the best way to express the final answer is:

\[
(3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times 0.1) + (5 \times 0.01)
\]

This aligns conceptually with how we look at numbers broken down by their place values.