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Convert degrees, minutes and seconds to decimals

In this worksheet, students use a calculator to convert angles given in degrees, minutes and seconds to angles in decimal format.

'Convert degrees, minutes and seconds to decimals' worksheet

Key stage:  KS 2

Curriculum topic:   Number: Addition, Subtraction, Multiplication and Division

Curriculum subtopic:   Solve Four Operations Problems

Difficulty level:  

Worksheet Overview

An angle of 1º can be divided into 60 equal parts. 

Each of these parts is known as 1 minute (1').

So 60' = 1º

 

An angle of 1' can be divided into 60 equal parts. 

Each of these parts is known as 1 second (1").

So 60" = 1'    and   3600" = 1º

 

 

Example

Convert 42º 14' 32" into an angle in decimal format to 2 decimal places.

 

Answer

14' = 14/60 degrees.

32" = 32/3600 degrees.

Use a calculator to work out

42 + 14 ÷ 60 + 32 ÷ 3600

So 42º 14' 32" = 42.24222222º... = 42.24º (to 2 dp)

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