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Degrees, Minutes, and Seconds to Decimal Conversion

Convert angles expressed in degrees, minutes, and seconds to decimal degrees.

Grade 6 Math DecimalsConvert Degrees, Minutes and Seconds to Decimal
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.6.NS.B.3

Topics

mathgrade 6decimalsanglesdegreesminutesseconds
8 sections · Free to use · Printable
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Degrees, Minutes, and Seconds to Decimal Conversion

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

1. Convert 45° 30' 0'' to decimal degrees.

2. Convert 72° 15' 0'' to decimal degrees.

3. Convert 120° 45' 0'' to decimal degrees.

4. There are 60   in one degree.

5. There are 60   in one minute.

6. To convert minutes to decimal degrees, divide the minutes by  .

7. To convert seconds to decimal degrees, divide the seconds by  .

8. Convert 30° 15' 30'' to decimal degrees. Show your work.

9. Convert 60° 0' 45'' to decimal degrees. Show your work.

10. Which of the following is equivalent to 1°?

a

0.1 decimal degrees

b

60 minutes

c

30 seconds

d

0.5 decimal degrees

11. An angle of 90° 0' 0'' is how many decimal degrees?

a

90.00°

b

90.01°

c

90.60°

d

90.3600°

12. One minute of arc is equal to 1/60th of a degree.

T

True

F

False

13. 3600 seconds make up one degree.

T

True

F

False

Use the protractor image to visualize angles, then practice converting. (No question associated with this image)

Protractor image