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)+(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)

1 answer

To write the number 357.25 in expanded form, we need to break it down into its place values. The digits are:

  • 3 in the hundreds place
  • 5 in the tens place
  • 7 in the ones place
  • 2 in the tenths place
  • 5 in the hundredths place

The expanded form of 357.25 can be written as:

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

So, the correct response is:

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

This represents each digit of 357.25 based on its place value.