Write the expanded form of 357.25

Question

options:

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

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

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

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

Answer 1

To express the number 357.25 in expanded form, we break it down based on the value of each digit:

• 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 units (ones) place: \(7 \times 1\)
• The digit '2' is in the tenths place (first digit after the decimal point): \(2 \times \frac{1}{10}\)
• The digit '5' in the hundredths place (second digit after the decimal point): \(5 \times \frac{1}{100}\)

Putting this together, the correct expanded form of 357.25 is:

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

Among the options provided, the first option matches this expanded form:

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