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)+(6×10)+(7×1)+(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 6 times 10 close paren plus open paren 7 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)+(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)+(7×10)+(6×1)+(5×1100)+(2×11,000)
Answers
GPT-4o mini
The expanded form of the number 31,476.52 is calculated by breaking down each digit according to its place value.
Given the number:
- 3 in the ten-thousands place,
- 1 in the thousands place,
- 4 in the hundreds place,
- 7 in the tens place,
- 6 in the ones place,
- 5 in the tenths place,
- 2 in the hundredths place.
We can write this as:
- \(3 \times 10,000\) (for the 3 in the ten-thousands place)
- \(1 \times 1,000\) (for the 1 in the thousands place)
- \(4 \times 100\) (for the 4 in the hundreds place)
- \(7 \times 10\) (for the 7 in the tens place)
- \(6 \times 1\) (for the 6 in the ones place)
- \(5 \times \frac{1}{10}\) (for the 5 in the tenths place)
- \(2 \times \frac{1}{100}\) (for the 2 in the hundredths place)
So, the expanded form of 31,476.52 is:
\[
(3 \times 10,000) + (1 \times 1,000) + (4 \times 100) + (7 \times 10) + (6 \times 1) + (5 \times \frac{1}{10}) + (2 \times \frac{1}{100})
\]
From the options provided, the correct one that matches this representation is:
\[
(3 \times 10,000) + (1 \times 1,000) + (4 \times 100) + (7 \times 10) + (6 \times 1) + (5 \times \frac{1}{10}) + (2 \times \frac{1}{100})
\]
So, the correct answer is:
**(3×10,000)+(1×1,000)+(4×100)+(7×10)+(6×1)+(5×1/10)+(2×1/100)**.
Given the number:
- 3 in the ten-thousands place,
- 1 in the thousands place,
- 4 in the hundreds place,
- 7 in the tens place,
- 6 in the ones place,
- 5 in the tenths place,
- 2 in the hundredths place.
We can write this as:
- \(3 \times 10,000\) (for the 3 in the ten-thousands place)
- \(1 \times 1,000\) (for the 1 in the thousands place)
- \(4 \times 100\) (for the 4 in the hundreds place)
- \(7 \times 10\) (for the 7 in the tens place)
- \(6 \times 1\) (for the 6 in the ones place)
- \(5 \times \frac{1}{10}\) (for the 5 in the tenths place)
- \(2 \times \frac{1}{100}\) (for the 2 in the hundredths place)
So, the expanded form of 31,476.52 is:
\[
(3 \times 10,000) + (1 \times 1,000) + (4 \times 100) + (7 \times 10) + (6 \times 1) + (5 \times \frac{1}{10}) + (2 \times \frac{1}{100})
\]
From the options provided, the correct one that matches this representation is:
\[
(3 \times 10,000) + (1 \times 1,000) + (4 \times 100) + (7 \times 10) + (6 \times 1) + (5 \times \frac{1}{10}) + (2 \times \frac{1}{100})
\]
So, the correct answer is:
**(3×10,000)+(1×1,000)+(4×100)+(7×10)+(6×1)+(5×1/10)+(2×1/100)**.