Question

Write in 7,921.995 in expanded form.(1 point) Responses (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)+(9×0)+(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)+(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)

Answer 1

To express the number 7,921.995 in expanded form, we break it down into its place values.

7,921.995 consists of:
- 7 thousands (7 × 1,000)
- 9 hundreds (9 × 100)
- 2 tens (2 × 10)
- 1 one (1 × 1)
- 9 tenths (9 × 0.1)
- 9 hundredths (9 × 0.01)
- 5 thousandths (5 × 0.001)

Now we can write it in expanded form:

\[
(7 \times 1,000) + (9 \times 100) + (2 \times 10) + (1 \times 1) + (9 \times 0.1) + (9 \times 0.01) + (5 \times 0.001)
\]

This can also be simplified and written as:

\[
(7 \times 1,000) + (9 \times 100) + (2 \times 10) + (1 \times 1) + (9 \times \frac{1}{10}) + (9 \times \frac{1}{100}) + (5 \times \frac{1}{1,000})
\]

This is the correct expanded form for 7,921.995.