Use decimal expansion to write 320.75 in expanded form.

Question

options:

(3 × 100)+(2 × 10)+(1 × 1)+(7 × 1 over 10)+(5 × 1 over 100)

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

(3 × 1,000) + (2 × 100) + (0 × 10) + (7 × 1) + (5 × 1 over 10)

(3 × 10) + (2 ×1 ) + (0 × 1 over 10) + (7×1 over 100) + (5×1 over 1,000)

Answer 1

To write the number 320.75 in expanded form using decimal expansion, we break it down into its place values:

• The digit 3 is in the hundreds place: \(3 \times 100\)
• The digit 2 is in the tens place: \(2 \times 10\)
• The digit 0 is in the ones place: \(0 \times 1\)
• The digit 7 is in the tenths place: \(7 \times \frac{1}{10}\)
• The digit 5 is in the hundredths place: \(5 \times \frac{1}{100}\)

Putting it all together, we have:

\[ (3 \times 100) + (2 \times 10) + (0 \times 1) + (7 \times \frac{1}{10}) + (5 \times \frac{1}{100}) \]

Among the options provided, the second one corresponds to this breakdown:

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

Therefore, that is the correct answer.