Question

Write 62° 21´ 47´´ as a decimal to the nearest thousandth. 62.413°62.366°62.363°62.373°

Answer 1

The given number is °:

$62\degree21^{\prime}47^{\doubleprime}$

To write it as a decimal, start by placing the integer part the same, now to find the decimal part, let's take the minutes 21' and divide it by 60 (because there are 60 minutes in 1°):

$\frac{21^{\prime}}{60}=0.35$

Now, let's divide the seconds 47" by 3600 (because there are 3600 seconds in 1°):

$\frac{47^{\doubleprime}}{3600}=0.013$

Thus, the number is:

$62\degree+0.35\degree+0.013\degree=62.363\degree$