Question

Add as indicated.
(52° 45') + (36° 55')

Answer 1

I got 89 degrees, but I can't figure the minutes out..

Answer 2

Adding degrees with degrees,
minutes with minutes,\[\large\rm 88^o100'\]That seems like a sensible first step, ya? :)

Answer 3

yes!

Answer 4

60 minutes is 1 degree.
So we can borrow 60 of those minutes to increase our degrees to 89.

Answer 5

i think I got it, would it be 40 minutes?

Answer 6

\(\large\rm 89^o40'\)

40 left over from the 100? Yayy good job \c:/

Answer 7

Convert the following to degrees and minutes.
19.15° what about this one, I know it's 19 degrees

Answer 8

Well we know that 1 degree is 60 minutes.
So if we wanted to convert something like say 4 degrees to minutes,
we would multiply the 4 by 60, yes?\[\large\rm 4^o\quad=\quad (4\cdot 60)'\quad=\quad240'\]

Answer 9

yes

Answer 10

So that's what we want to do with our decimal remainder.
We'll take this fraction of a degree, and multiply it by 60, our conversion value.
\(\large\rm 19.15^o\quad=\quad 19^o(.15\cdot60)'\)

Answer 11

so basically, everytime you take the remainder and multiply by 60?

Answer 12

and that would be 9

Answer 13

\[\large\rm 19^o9'\]For that type of problem, yes.
And keep in mind, the decimal value is `less than 1 full degree`,
so you should always end up with `less than 60 minutes` when multiplying.

That's a good way to check your work I suppose.
If you have something 24.89 and somehow that .89 turns into 85 minutes,
then you know you've made a mistake because it's larger than 60.

Answer 14

I totally get it now, thanks!