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Decimals as Fractions (3)

In this worksheet, students must read and write decimal numbers up to thousandths as fractions or mixed numbers.

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'Decimals as Fractions (3)' worksheet

Key stage:  KS 2

Year:  Year 3 11+ worksheets

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Decimals

Difficulty level:  

Worksheet Overview

Decimal numbers with 1 decimal place can be changed into tenths.

Whole numbers stay as whole numbers.

 

0.4  =  4
10

 

3.4  =   3  4
10

 

Decimal numbers with 2 decimal places can be changed into hundredths.

Whole numbers stay as whole numbers.

 

0.04  =  4
100

 

0.54  =  54
100

 

3.75  =   3  75
100

 

Decimal numbers with 3 decimal places can be changed into thousandths.

Whole numbers stay as whole numbers.

 

0.004  =  4
1000

 

0.054  =  54
1000

 

3.715  =   3  715
1000

 

The reverse is also true.

 

 

Example 1

Write the following fraction as a decimal.

 

5
1000

 

Answer

5 thousandths is 0.005 with 3 decimal places.

(Use zeros to fill in the spaces.)

 

The answer is 0.005.

 

 

 

Example 2

Write the following mixed number as a decimal.

 

 4  15
1000

 

Answer

15 thousandths is 0.015 with 3 decimal places.

The 4 is a whole number and stays the same.

 

The answer is 4.015.

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