Write the expanded form of 357.25(1 point) 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)+(2×110)+(5×11,000) 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 1,000 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)+(5×110)+(2×1100)

1 answer

To write the expanded form of the number 357.25, we break it down 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 point): \(2 \times \frac{1}{10}\)
  • The digit 5 is in the hundredths place: \(5 \times \frac{1}{100}\)

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

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

So the correct response is:

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