To write the number 7,921.995 in expanded form, we can break it down by place value into its components.
Here’s the breakdown:
- 7 thousands = \(7 \times 1000\)
- 9 hundreds = \(9 \times 100\)
- 2 tens = \(2 \times 10\)
- 1 one = \(1 \times 1\)
- 9 tenths = \(9 \times \frac{1}{10}\)
- 9 hundredths = \(9 \times \frac{1}{100}\)
- 5 thousandths = \(5 \times \frac{1}{1000}\)
Putting that all together, the expanded form is:
\[ (7 \times 1000) + (9 \times 100) + (2 \times 10) + (1 \times 1) + (9 \times \frac{1}{10}) + (9 \times \frac{1}{100}) + (5 \times \frac{1}{1000}) \]
None of the options you provided match this exactly because they seem to have errors in the fractional representation or place value breakdown. The correct expanded form is:
\[ (7 \times 1000) + (9 \times 100) + (2 \times 10) + (1 \times 1) + (9 \times \frac{1}{10}) + (9 \times \frac{1}{100}) + (5 \times \frac{1}{1000}) \]