Question

Use decimal expansion to write 320.75 in expanded form.(1 point)
Responses

(3×100)+(2×10)+(0×1)+(7×110)+(5×1100)
open paren 3 times 100 close paren plus open paren 2 times 10 close paren plus open paren 0 times 1 close paren plus open paren 7 times 1 tenth close paren plus open paren 5 times 1 over 100 close paren

(3×1,000)+(2×100)+(0×10)+(7×1)+(5×110)
open paren 3 times 1 comma 000 close paren plus open paren 2 times 100 close paren plus open paren 0 times 10 close paren plus open paren 7 times 1 close paren plus open paren 5 times 1 tenth close paren

(3×100)+(2×10)+(1×1)+(7×110)+(5×1100)
open paren 3 times 100 close paren plus open paren 2 times 10 close paren plus open paren 1 times 1 close paren plus open paren 7 times 1 tenth close paren plus open paren 5 times 1 over 100 close paren

(3×10)+(2×1)+(0×110)+(7×1100)+(5×11,000)

Answer 1

To write 320.75 in expanded form using decimal expansion, we can break it down as follows:

- The hundreds place has 3 (which is 3×100).
- The tens place has 2 (which is 2×10).
- The ones place has 0 (which is 0×1).
- The tenths place has 7 (which is 7×1/10 or 7×0.1).
- The hundredths place has 5 (which is 5×1/100 or 5×0.01).

Putting it all together, the correct expanded form is:

(3×100) + (2×10) + (0×1) + (7×1/10) + (5×1/100)

So, the correct option is:
**(3×100) + (2×10) + (0×1) + (7×1 tenth) + (5×1 over 100)**.