Math Problem Statement

-40 degree 36’ into decimal degree notation

Solution

To convert 4036-40^\circ 36' into decimal degree notation:

  1. The degrees part is 40-40^\circ.
  2. The minutes part is 3636'. There are 60 minutes in a degree, so we convert the minutes to decimal degrees by dividing by 60:

3660=0.6\frac{36}{60} = 0.6

  1. Combine the degrees and the converted minutes:

40+(0.6)=40.6-40 + (-0.6) = -40.6^\circ

Thus, 4036-40^\circ 36' in decimal degree notation is 40.6-40.6^\circ.

Would you like more details or have any questions?


Here are 5 related questions for further practice:

  1. How do you convert 25° 45' into decimal degrees?
  2. What is 10° 15' into decimal degrees?
  3. How do you convert decimal degrees back into degrees, minutes, and seconds?
  4. What is the decimal degree conversion of -80° 30'?
  5. How can you convert 5° 50' 30" into decimal degrees?

Tip: When converting minutes to decimal degrees, always remember that there are 60 minutes in a degree. Divide the minutes by 60 to find the decimal equivalent.

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Math Problem Analysis

Mathematical Concepts

Angle Conversion
Decimal Degrees
Degrees and Minutes

Formulas

Decimal degrees = Degrees + (Minutes / 60)

Theorems

Basic angle conversion theorem: 1 degree = 60 minutes

Suitable Grade Level

Grades 8-10