Write the expanded form of 357.25(1 point)

Question

Responses

(3×100)+(5×10)+(7×1)+(2×1100)
left parenthesis 3 times 100 right parenthesis plus left parenthesis 5 times 10 right parenthesis plus left parenthesis 7 times 1 right parenthesis plus left parenthesis 2 times Start Fraction 1 over 100 End Fraction right parenthesis

(3×100)+(5×10)+(7×1)+(5×110)+(2×1100)
left parenthesis 3 times 100 right parenthesis plus left parenthesis 5 times 10 right parenthesis plus left parenthesis 7 times 1 right parenthesis plus left parenthesis 5 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 2 times Start Fraction 1 over 100 End Fraction right parenthesis

(3×100)+(5×10)+(7×1)+(2×110)+(5×1100)
left parenthesis 3 times 100 right parenthesis plus left parenthesis 5 times 10 right parenthesis plus left parenthesis 7 times 1 right parenthesis plus left parenthesis 2 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 5 times Start Fraction 1 over 100 End Fraction right parenthesis

(3×100)+(5×10)+(7×1)+(2×110)+(5×11,000)

Answer 1

The correct expanded form of 357.25 is:

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

To break 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 \(2 \times \frac{1}{10}\) (or \(2 \times 0.1\))
• 5 is in the hundredths place, so \(5 \times \frac{1}{100}\)

From your options, the closest match is:

(3×100)+(5×10)+(7×1)+(2×\frac{1}{10})+(5×\frac{1}{100}).

So you would want to select an option including both decimal places correctly accounted for.