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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)+(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

(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

(7×1,000,000)+(9×100,000)+(2×10,000)+(1×1,000)+(9×100)+(9×10)+(5×1)

1 answer

To write the number 7,921.995 in expanded form, we need to separate it into its place values.

The number can be dissected as follows:

  • The digit 7 is in the thousands place (7,000).
  • The digit 9 is in the hundreds place (900).
  • The digit 2 is in the tens place (20).
  • The digit 1 is in the ones place (1).
  • The digit 9 is in the tenths place (0.9).
  • The digit 9 is in the hundredths place (0.09).
  • The digit 5 is in the thousandths place (0.005).

Putting this together in expanded form, we have:

(7 × 1,000) + (9 × 100) + (2 × 10) + (1 × 1) + (9 × 0.1) + (9 × 0.01) + (5 × 0.001)

So the correct response is:

(7×1,000)+(9×100)+(2×10)+(1×1)+(9×0.1)+(9×0.01)+(5×0.001)

None of the provided options perfectly matches this correct expanded form. If you need the most appropriate closest answer based on your given options, please let me know!