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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

(7×1,000,000)+(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

1 answer

To write 7,921.995 in expanded form, we will break it down into its place values.

The number can be represented as follows:

  • 7,000 (which is 7 times 1,000)
  • 900 (which is 9 times 100)
  • 20 (which is 2 times 10)
  • 1 (which is 1 times 1)
  • 0 (which is 9 times 0, but we can ignore this since it adds no value)
  • 0.9 (which is 9 times 0.1)
  • 0.005 (which is 5 times 0.001)

Now, combining these components, we have:

Expanded form: (7 × 1,000) + (9 × 100) + (2 × 10) + (1 × 1) + (9 × 0.1) + (5 × 0.001)

So the correct response is: (7×1,000) + (9×100) + (2×10) + (1×1) + (9×0.1) + (5×0.001)