# How do you convert 2.5^circ to D^circM'S'' form?

Oct 24, 2017

${2.5}^{\circ} = {2}^{\circ} 30 '$

#### Explanation:

There are $60$ minutes in a degree and $60$ seconds in a minute.

So we find:

${2.5}^{\circ} = {2}^{\circ} + \left(0.5 \cdot 60\right) ' = {2}^{\circ} 30 '$

If you want a seconds part, you could write this as ${2}^{\circ} 30 ' 0 ' '$

More generally, given a decimal number of degrees, proceed as follows:

• Write down the whole part as the number of degrees and subtract it.

• Multiply by $60$ to get the remainder as a number of minutes.

• Write down the whole part as the number of minutes and subtract it.

• Multiply by $60$ to get the number of seconds.

Then you have a choice as to whether to specify the seconds as a decimal or round it to the nearest integer.