To express the number 8,471.716 in expanded form, we break it down into whole numbers and decimal parts based on the place value of each digit.
Whole number part:
- 8 is in the thousands place: \(8 \times 1000\)
- 4 is in the hundreds place: \(4 \times 100\)
- 7 is in the tens place: \(7 \times 10\)
- 1 is in the ones place: \(1 \times 1\)
Decimal part:
- 7 is in the tenths place: \(7 \times \frac{1}{10}\)
- 1 is in the hundredths place: \(1 \times \frac{1}{100}\)
- 6 is in the thousandths place: \(6 \times \frac{1}{1000}\)
Now, putting it all together, the expanded form of 8,471.716 is:
\[ (8 \times 1000) + (4 \times 100) + (7 \times 10) + (1 \times 1) + (7 \times \frac{1}{10}) + (1 \times \frac{1}{100}) + (6 \times \frac{1}{1000}) \]
So, the correct response from the options provided is:
(8×1,000) + (4×100) + (7×10) + (1×1) + (7×\frac{1}{10}) + (1×\frac{1}{100}) + (6×\frac{1}{1000})
1 answer