Question

convert $330.656^{\circ}$ to degree-minute-second form.
if necessary, round your answer to the nearest second.

Explanation:

Step1: Isolate the whole degrees

The whole number part is the degree value: $330^\circ$
The decimal part to convert: $0.656^\circ$

Step2: Convert decimal to minutes

Multiply decimal degrees by 60:
$0.656 \times 60 = 39.36'$
Whole minutes: $39'$, decimal part: $0.36'$

Step3: Convert decimal to seconds

Multiply decimal minutes by 60:
$0.36 \times 60 = 21.6''$
Round to nearest second: $22''$

Answer:

$330^\circ 39' 22''$