The expanded form of the number 8,471.716 can be expressed by breaking it down into its place values.
The number can be separated as follows:
- \(8\) in the thousands place: \(8 \times 1,000\)
- \(4\) in the hundreds place: \(4 \times 100\)
- \(7\) in the tens place: \(7 \times 10\)
- \(1\) in the ones place: \(1 \times 1\)
- \(7\) in the tenths place: \(7 \times \frac{1}{10}\)
- \(1\) in the hundredths place: \(1 \times \frac{1}{100}\)
- \(6\) in the thousandths place: \(6 \times \frac{1}{1,000}\)
Combining these, the correct expanded form is: \[ (8 \times 1,000) + (4 \times 100) + (7 \times 10) + (1 \times 1) + (7 \times \frac{1}{10}) + (1 \times \frac{1}{100}) + (6 \times \frac{1}{1,000}) \]
Thus, the option that matches this expanded form is: \[ \text{left parenthesis } 8 \times 1,000 \text{ right parenthesis plus left parenthesis } 4 \times 100 \text{ right parenthesis plus left parenthesis } 7 \times 10 \text{ right parenthesis plus left parenthesis } 1 \times 1 \text{ right parenthesis plus left parenthesis } 7 \times \frac{1}{10} \text{ right parenthesis plus left parenthesis } 1 \times \frac{1}{100} \text{ right parenthesis plus left parenthesis } 6 \times \frac{1}{1,000} \text{ right parenthesis} \]
1 answer