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Converting Degrees, Minutes, and Seconds to Decimal Degrees

Practice converting angles expressed in degrees, minutes, and seconds (DMS) to their equivalent decimal degree form.

Grade 10 Math DecimalsConvert Degrees, Minutes and Seconds to Decimal
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Includes

Fill in the BlanksMultiple ChoiceShort AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSR.RN.A.1

Topics

mathgrade 10anglesdegreesminutessecondsdecimal degrees
6 sections · Free to use · Printable
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Converting Degrees, Minutes, and Seconds to Decimal Degrees

Name:

Date:

Score:

Convert each angle from Degrees, Minutes, and Seconds (DMS) format to Decimal Degrees. Round your answers to four decimal places.

1. 35° 15' 30'' =  

2. 78° 45' 12'' =  

3. 120° 05' 50'' =  

4. 1° 01' 01'' =  

5. 270° 30' 00'' =  

6. Which of the following is equivalent to 45° 20' 15''?

a

45.2015°

b

45.3375°

c

45.0375°

d

45.2515°

7. An angle of 60° 00' 45'' is equal to:

a

60.0045°

b

60.75°

c

60.0125°

d

60.0075°

8. Explain the steps involved in converting an angle from Degrees, Minutes, and Seconds (DMS) to Decimal Degrees. Provide an example.

9. To convert minutes to decimal degrees, you divide the number of minutes by 60.

T

True

F

False

10. There are 3600 seconds in one degree.

T

True

F

False