Write the expanded form of 357.25(1 point)

Responses

(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)+(2×1100)
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)+(5×11,000)

1 answer

The correct expanded form of the number 357.25 is:

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

However, none of the responses you provided matches this correct expanded form exactly. But, if we adjust the responses to match the decimals correctly, the closest acceptable response from those listed (considering the form of fractions) is:

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

But since this specific response does not exactly match your choices, it may lead to some misunderstanding.

To clarify the nature of the decimal:

  • 3 corresponds to hundreds (3 x 100)
  • 5 corresponds to tens (5 x 10)
  • 7 corresponds to units (7 x 1)
  • 2 corresponds to tenths (2 x 1/10)
  • 5 corresponds to hundredths (5 x 1/100)

Among the given responses, none showcase this accurately due to mismatched fractions. Thus, if you'd like to verify one of your options again based on this structure, please re-evaluate the decimal placements.