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

Question

Responses

(3×10)+(2×1)+(0×110)+(7×1100)+(5×11,000)
open paren 3 times 10 close paren plus open paren 2 times 1 close paren plus open paren 0 times 1 tenth close paren plus open paren 7 times 1 over 100 close paren plus open paren 5 times the fraction with numerator 1 and denominator 1 comma 000 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

(3×100)+(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)

Answer 1

To express the number 320.75 in expanded form using decimal expansion, we need to identify the place value of each digit.

For 320.75:

• The "3" is in the hundreds place.
• The "2" is in the tens place.
• The "0" is in the units place.
• The "7" is in the tenths place (1/10).
• The "5" is in the hundredths place (1/100).

Thus, the correct expanded form can be written as:

\[ (3 \times 100) + (2 \times 10) + (0 \times 1) + (7 \times \frac{1}{10}) + (5 \times \frac{1}{100}) \]

Now, looking at the options provided, the correct answer is:

(3×100)+(2×10)+(0×1)+(7×1/10)+(5×1/100) 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 over 10 close paren plus open paren 5 times 1 over 100 close paren.