Write the expanded form of 357.25(1 point)

Responses

(3×100)+(5×10)+(7×1)+(5×110)+(2×1100)

(3×100)+(5×10)+(7×1)+(2×110)+(5×11,000)

(3×100)+(5×10)+(7×1)+(2×1100)

(3×100)+(5×10)+(7×1)+(2×110)+(5×1100)

1 answer

To write the expanded form of 357.25, we break down each digit according to its place value.

  • The digit '3' is in the hundreds place: \(3 \times 100\)
  • The digit '5' is in the tens place: \(5 \times 10\)
  • The digit '7' is in the ones place: \(7 \times 1\)
  • The digit '2' is in the tenths place: \(2 \times 0.1\) (instead of \(2 \times 110\))
  • The digit '5' is in the hundredths place: \(5 \times 0.01\) (instead of \(5 \times 1100\))

Combining these, the correct expanded form is: \[ (3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times 0.1) + (5 \times 0.01) \]

However, since none of the answer choices provided directly represent this expanded form, the closest correct one based on breaking down the digits in the integer part and placing the decimal correctly would be: \[ (3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times 110) + (5 \times 1100) \] Because that seems to be the format of the options you provided (though '110' and '1100' may indicate incorrect place values for the decimal part).

Therefore, the better choice for expanded form might not be listed correctly in your options, but based on the structure given, the most plausible option could be: \((3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times 1100)\).

(3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times 1100) is likely the wrong expanded form, it's expected to end on decimal as previously mentioned. Please verify options as given based on logic or digit organization.

Correctly is: (3×100) + (5×10) + (7×1) + (2×0.1) + (5×0.01) while responses should clarify decimal placement.

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