Question

What is the expanded form of 31,476.52?(1 point)
Responses

(3×10,000)+(1×1,000)+(4×100)+(6×10)+(7×1)+(5×1100)+(2×11,000)
open paren 3 times 10 comma 000 close paren plus open paren 1 times 1 comma 000 close paren plus open paren 4 times 100 close paren plus open paren 6 times 10 close paren plus open paren 7 times 1 close paren plus open paren 5 times 1 over 100 close paren plus open paren 2 times the fraction with numerator 1 and denominator 1 comma 000 close paren

(3×10,000)+(1×1,000)+(4×100)+(7×10)+(6×1)+(5×1100)+(2×11,000)
open paren 3 times 10 comma 000 close paren plus open paren 1 times 1 comma 000 close paren plus open paren 4 times 100 close paren plus open paren 7 times 10 close paren plus open paren 6 times 1 close paren plus open paren 5 times 1 over 100 close paren plus open paren 2 times the fraction with numerator 1 and denominator 1 comma 000 close paren

(3×10,000)+(1×1,000)+(4×100)+(7×10)+(6×1)+(5×110)+(2×1100)
open paren 3 times 10 comma 000 close paren plus open paren 1 times 1 comma 000 close paren plus open paren 4 times 100 close paren plus open paren 7 times 10 close paren plus open paren 6 times 1 close paren plus open paren 5 times 1 tenth close paren plus open paren 2 times 1 over 100 close paren

(3×10,000)+(1×1,000)+(4×100)+(6×10)+(7×1)+(5×110)+(2×1100)

Answer 1

The expanded form of the number 31,476.52 can be represented by breaking down each digit according to its place value. Let's analyze the digits:

- 3 is in the ten thousand place, so it is \(3 \times 10,000\).
- 1 is in the thousand place, so it is \(1 \times 1,000\).
- 4 is in the hundred place, so it is \(4 \times 100\).
- 7 is in the ten place, so it is \(7 \times 10\).
- 6 is in the one place, so it is \(6 \times 1\).
- 5 is in the tenths place (after the decimal), so it is \(5 \times \frac{1}{10}\) or \(5 \times 0.1\).
- 2 is in the hundredths place, so it is \(2 \times \frac{1}{100}\) or \(2 \times 0.01\).

Thus, the correct expanded form is:

\((3 \times 10,000) + (1 \times 1,000) + (4 \times 100) + (7 \times 10) + (6 \times 1) + (5 \times \frac{1}{10}) + (2 \times \frac{1}{100})\).

None of the provided options match the exact correct expanded form given above, but the closest choice based on the breakdown should look like this:

- \((3×10,000)+(1×1,000)+(4×100)+(7×10)+(6×1)+(5×\frac{1}{10})+(2×\frac{1}{100})\).

Review the available choices to find one that closely aligns with this representation.