Write the expanded form of 357.25(1 point)

Responses

(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)
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)+(2×1100)
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)

1 answer

The expanded form of 357.25 can be represented as follows:

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

Putting it 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:

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