Write the expanded form of 357.25(1 point)

Responses

(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)+(2×1100)
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)+(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

The correct expanded form of 357.25 is:

\[ (3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times \frac{1}{10}) + (5 \times \frac{1}{1000}) \]

To clarify, the components break down as follows:

  • 3 represents 300 (3 times 100)
  • 5 represents 50 (5 times 10)
  • 7 represents 7 (7 times 1)
  • 2 represents 0.2 (2 times 1/10)
  • 5 represents 0.005 (5 times 1/1000)

So the correct answer from the options provided is:

(3×100)+(5×10)+(7×1)+(2×\frac{1}{10})+(5×\frac{1}{1000}).

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