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)+(5×1100) 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) 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)

1 answer

To write the expanded form of 357.25, we will express it in terms of its place values. The number 357.25 can be broken down as follows:

  • The digit 3 is in the hundreds place, so it represents 3 × 100.
  • The digit 5 is in the tens place, so it represents 5 × 10.
  • The digit 7 is in the ones place, so it represents 7 × 1.
  • The digit 2 is in the tenths place, so it represents 2 × (1/10).
  • The digit 5 is in the hundredths place, so it represents 5 × (1/100).

Now, combining all of these components, the expanded form of 357.25 is:

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

Therefore, the correct expanded form is:

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

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