Write the expanded form of 357.25(1 point)

Responses

(3×100)+(5×10)+(7×1)+(2×1/100)
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)+(5×1/10)+(2×1/100)
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)+(2×1/10)+(5×1/100)
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)+(2×1/10)+(5×1/1,000)

1 answer

The correct expanded form of 357.25 is:

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

So the correct response is:

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

This breaks down the number 357.25 into its individual place values:

  • 3 is in the hundreds place (3 × 100)
  • 5 is in the tens place (5 × 10)
  • 7 is in the ones place (7 × 1)
  • 2 is in the tenths place (2 × \(\frac{1}{10}\))
  • 5 is in the hundredths place (5 × \(\frac{1}{100}\))
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