Precalculus Examples

$270.58 °$

Step 1

To convert decimal degree to degree, minutes, and seconds, the whole units of degrees will remain the same. Multiply the decimal by $60$ . The whole number becomes the minutes.

$0.58 \cdot 60$

Step 2

Multiply $0.58$ by $60$ .

$34.8$

Step 3

Take the remaining decimal and multiply by $60$ and take the whole number portion to find the seconds.

$0.8 \cdot 60$

Step 4

Multiply $0.8$ by $60$ .

$48$

Step 5

Take the three sets of whole numbers and combine them, using the symbols for degrees $(°)$ , minutes $(^{'})$ , and seconds $(^{″})$ .

$270$ $°$ $34$ $^{'}$ $48$ $^{″}$