Question

Write in 7,921.995 in expanded form.(1 point)
Responses

(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)
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)+(9×0)+(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)+(9×1/10)+(2×1/100)+(1×1/1,000)

Answers

GPT-4o mini
To express the number 7,921.995 in expanded form, we break it down by each digit according to its place value.

7,921.995 can be expressed as:

- 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)

Putting this all together, the expanded form is:

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

This is equivalent to selecting:

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

So the correct answer from your options is:

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