Question 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) 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

1 answer

To write the expanded form of the number 357.25, we break it down into its place values.

The number 357.25 can be separated as follows:

  • The digit "3" is in the hundreds place, which is \(3 \times 100\).
  • The digit "5" is in the tens place, which is \(5 \times 10\).
  • The digit "7" is in the ones place, which is \(7 \times 1\).
  • The digit "2" is in the tenths place (first decimal place), which is \(2 \times \frac{1}{10}\).
  • The digit "5" is in the hundredths place (second decimal place), which is \(5 \times \frac{1}{100}\).

So, the expanded form of 357.25 is:

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

The correct option is:

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

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