Convert decimal degrees to degrees, minutes, seconds, and convert degrees, minutes, seconds to decimal degrees. If applicable, round to the nearest second or the nearest thousandth of a degree. 275.1005°

Verified step by step guidance

1. Start by identifying the whole number part of the decimal degrees, which is 275. This represents the degrees.
2. To find the minutes, take the decimal part (0.1005) and multiply it by 60. This will give you the total minutes.
3. Separate the whole number from the result of the previous step. This whole number is the minutes.
4. Take the remaining decimal from the previous step and multiply it by 60 to convert it into seconds.
5. Round the seconds to the nearest whole number if necessary. Combine the degrees, minutes, and seconds to express the angle in degrees, minutes, and seconds.

Key Concepts

Decimal Degrees

Decimal degrees are a way of expressing angles using a decimal format, where the whole number represents degrees and the decimal part represents a fraction of a degree. For example, 275.1005° indicates 275 degrees and a fraction of a degree, which can be converted into minutes and seconds for more precise measurements.

Degrees, Minutes, Seconds (DMS)

Degrees, minutes, and seconds is a traditional method of measuring angles, where one degree is divided into 60 minutes, and one minute is divided into 60 seconds. This format is often used in navigation and astronomy, allowing for a more granular representation of angles, especially when precision is required.

Conversion Between Formats

Converting between decimal degrees and degrees, minutes, seconds involves specific mathematical operations. To convert decimal degrees to DMS, the whole number is taken as degrees, while the decimal is multiplied by 60 to get minutes, and the decimal of the minutes is again multiplied by 60 to obtain seconds. Conversely, to convert DMS to decimal degrees, the seconds are divided by 3600, minutes by 60, and then summed with the degrees.