Question
Write in 7,921.995 in expanded form.(1 point)
Responses
(7×1,000)+(9×100)+(2×10)+(1×1)+(9×0)+(9×110)+(5×1100)
open paren 7 times 1 comma 000 close paren plus open paren 9 times 100 close paren plus open paren 2 times 10 close paren plus open paren 1 times 1 close paren plus open paren 9 times 0 close paren plus open paren 9 times 1 tenth close paren plus open paren 5 times 1 over 100 close paren
(7×1,000,000)+(9×100,000)+(2×10,000)+(1×1,000)+(9×100)+(9×10)+(5×1)
open paren 7 times 1 comma 000 comma 000 close paren plus open paren 9 times 100 comma 000 close paren plus open paren 2 times 10 comma 000 close paren plus open paren 1 times 1 comma 000 close paren plus open paren 9 times 100 close paren plus open paren 9 times 10 close paren plus open paren 5 times 1 close paren
(7×1,000)+(9×100)+(2×10)+(1×1)+(9×110)+(9×1100)+(5×11,000)
open paren 7 times 1 comma 000 close paren plus open paren 9 times 100 close paren plus open paren 2 times 10 close paren plus open paren 1 times 1 close paren plus open paren 9 times 1 tenth close paren plus open paren 9 times 1 over 100 close paren plus open paren 5 times the fraction with numerator 1 and denominator 1 comma 000 close paren
(7×1,000)+(9×100)+(2×10)+(1×1)+(9×110)+(2×1100)+(1×11,000)
open paren 7 times 1 comma 000 close paren plus open paren 9 times 100 close paren plus open paren 2 times 10 close paren plus open paren 1 times 1 close paren plus open paren 9 times 1 tenth close paren plus open paren 2 times 1 over 100 close paren plus open paren 1 times the fraction with numerator 1 and denominator 1 comma 000 close paren
Remaining Attempts : 3
Responses
(7×1,000)+(9×100)+(2×10)+(1×1)+(9×0)+(9×110)+(5×1100)
open paren 7 times 1 comma 000 close paren plus open paren 9 times 100 close paren plus open paren 2 times 10 close paren plus open paren 1 times 1 close paren plus open paren 9 times 0 close paren plus open paren 9 times 1 tenth close paren plus open paren 5 times 1 over 100 close paren
(7×1,000,000)+(9×100,000)+(2×10,000)+(1×1,000)+(9×100)+(9×10)+(5×1)
open paren 7 times 1 comma 000 comma 000 close paren plus open paren 9 times 100 comma 000 close paren plus open paren 2 times 10 comma 000 close paren plus open paren 1 times 1 comma 000 close paren plus open paren 9 times 100 close paren plus open paren 9 times 10 close paren plus open paren 5 times 1 close paren
(7×1,000)+(9×100)+(2×10)+(1×1)+(9×110)+(9×1100)+(5×11,000)
open paren 7 times 1 comma 000 close paren plus open paren 9 times 100 close paren plus open paren 2 times 10 close paren plus open paren 1 times 1 close paren plus open paren 9 times 1 tenth close paren plus open paren 9 times 1 over 100 close paren plus open paren 5 times the fraction with numerator 1 and denominator 1 comma 000 close paren
(7×1,000)+(9×100)+(2×10)+(1×1)+(9×110)+(2×1100)+(1×11,000)
open paren 7 times 1 comma 000 close paren plus open paren 9 times 100 close paren plus open paren 2 times 10 close paren plus open paren 1 times 1 close paren plus open paren 9 times 1 tenth close paren plus open paren 2 times 1 over 100 close paren plus open paren 1 times the fraction with numerator 1 and denominator 1 comma 000 close paren
Remaining Attempts : 3
Answers
GPT-4o mini
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:
\[
(7 \times 1000) + (9 \times 100) + (2 \times 10) + (1 \times 1) + (9 \times \frac{1}{10}) + (9 \times \frac{1}{100}) + (5 \times \frac{1}{1000})
\]
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:
\[
(7 \times 1000) + (9 \times 100) + (2 \times 10) + (1 \times 1) + (9 \times \frac{1}{10}) + (9 \times \frac{1}{100}) + (5 \times \frac{1}{1000})
\]