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Understand and Apply the Conversion of Decimal Numbers to Percentages 1

In this worksheet, students will practice a key skill for the reasoning SATs Maths test papers, the ability to convert between decimal numbers and percentages. They will also be challenged to order and compare decimals and percentages.

'Understand and Apply the Conversion of Decimal Numbers to Percentages 1' worksheet

Key stage:  KS 2

Curriculum topic:   Exam-style Questions: SATs Maths

Curriculum subtopic:   Exam-Style Questions: Decimal Conversion

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Good job! You have decided to spend some time practising for the SATs Maths tests.

 

This activity is going to focus on practising your ability to convert between decimal numbers and percentages.

You will also be asked to compare and order decimals and percentages.

 

Fractions, decimal numbers and percentages are just three ways of saying the same thing.

1⁄2 = 0.5 = 50%

 

Fractions, decimals and percentages all represent parts of a whole.

All three of these Maths terms look quite different but don't worry, this activity is a great way for you to learn about the relationship between them.

 

How do we convert between decimal numbers and percentages?

To convert a decimal number to a percentage, we multiply the decimal number by 100.

Remember, when you multiply by 100, move all of the digits two places to the left.

0.75 x 100% = 75.0% = 75%

Look at the place value chart below to see the movement of the digits.

 

Hundreds Tens Ones . Tenths Hundredths
    0 . 7 5
  7 5 . 0  

 

To convert a percentage to a decimal number, we divide the decimal number by 100.

Remember, when you divide by 100, move all of the digits two places to the right.

75% ÷ 100 = 0.75

Look at the place value chart below to see the movement of the digits.

 

Hundreds Tens Ones . Tenths Hundredths
  7 5 . 0  
    0 . 7 5

 

Over to you now to have a go at some practice questions...good luck!

 

Which answer represents the conversion of 0.23 to a percentage?

24%

2.3%

230%

23%

Which answer represents the conversion of 71% to a decimal number?

0.71

711

7.1

0.071

Can you match each calculation with the correct answer?

Column A

Column B

0.18 as a percentage =
18%
22% as a decimal =
0.22
90% as a decimal =
0.90
0.05 as a percentage =
5%

Can you match each calculation with the correct answer?

Column A

Column B

0.01 as a percentage =
1.0
100% as a decimal =
25%
9% as a decimal =
0.09
0.25 as a percentage =
1%

Can you convert 0.8 into a percentage?

Column A

Column B

0.01 as a percentage =
1.0
100% as a decimal =
25%
9% as a decimal =
0.09
0.25 as a percentage =
1%

Can you convert 97% into a decimal number?

Choose which is bigger...90% or 0.92?

90%

0.92

Choose which is bigger...0.08 or 80%?

0.08

80%

Can you put the decimals numbers and percentages in order from smallest to biggest?

Column A

Column B

1st
0.32
2nd
41%
3rd
0.1
4th
11%

Can you put the decimals numbers and percentages in order from biggest to smallest?

Column A

Column B

1st
37%
2nd
0.40
3rd
0.14
4th
0.04
  • Question 1

Which answer represents the conversion of 0.23 to a percentage?

CORRECT ANSWER
23%
EDDIE SAYS
Did you get the hang of this first question? Remember to convert a decimal number to a percentage, we multiply by 100. To multiply by 100, we move all of the digits in the number two places to the left. 0.23 x 100 =23%.
  • Question 2

Which answer represents the conversion of 71% to a decimal number?

CORRECT ANSWER
0.71
EDDIE SAYS
How are you getting on? Remember to convert a percentage to a decimal number, we divide by 100. To divide by 100, we move all of the digits in the number two places to the right. 71 ÷ 100 = 0.71 That's two questions in the bag! Keep going now- this is great practice!
  • Question 3

Can you match each calculation with the correct answer?

CORRECT ANSWER

Column A

Column B

0.18 as a percentage =
18%
22% as a decimal =
0.22
90% as a decimal =
0.90
0.05 as a percentage =
5%
EDDIE SAYS
Don't worry if you found that one tricky- there was a lot to think about! Remember percentages and decimals are parts of a whole.
  • Question 4

Can you match each calculation with the correct answer?

CORRECT ANSWER

Column A

Column B

0.01 as a percentage =
1%
100% as a decimal =
1.0
9% as a decimal =
0.09
0.25 as a percentage =
25%
EDDIE SAYS
Phew, that was a challenge! Did you spot that 100% as a decimal is, in fact, a whole and is written as 1? Keep this up- you are making great progress!
  • Question 5

Can you convert 0.8 into a percentage?

CORRECT ANSWER
EDDIE SAYS
Did you manage to work out that 0.8 as a percentage is 80%? We had to use the rule again of multiplying by 100 to convert a decimal number to a percentage.
  • Question 6

Can you convert 97% into a decimal number?

CORRECT ANSWER
0.97
EDDIE SAYS
Don't be afraid to give it a go! To solve this one, we had to divide by 100 and move all of the digits in the number two places to the right. 97% ÷ 100 = 0.97 Keep going- you are over halfway through this activity!
  • Question 7

Choose which is bigger...90% or 0.92?

CORRECT ANSWER
0.92
EDDIE SAYS
Did you see that 0.92 is bigger than 90%? A good way to compare numbers like this is to convert both to the same format. If we convert 90% to a decimal number, we divide by 100 and it becomes 0.90. It is then clear to see that 0.92 is the biggest number.
  • Question 8

Choose which is bigger...0.08 or 80%?

CORRECT ANSWER
80%
EDDIE SAYS
Nice job if you chose 80%! Again, if we convert both to the same format, we turn 80% into a decimal number by dividing by 100 so it becomes 0.8. We can then see that 80% is a lot bigger than 0.08. This is super progress, keep it up, only 2 more questions to go!
  • Question 9

Can you put the decimals numbers and percentages in order from smallest to biggest?

CORRECT ANSWER

Column A

Column B

1st
0.1
2nd
11%
3rd
0.32
4th
41%
EDDIE SAYS
Did you read this question carefully and order from smallest to biggest? Again, remember to convert all of the numbers to either decimals or percentages...it just makes it so much easier to compare!
  • Question 10

Can you put the decimals numbers and percentages in order from biggest to smallest?

CORRECT ANSWER

Column A

Column B

1st
0.40
2nd
37%
3rd
0.14
4th
0.04
EDDIE SAYS
Was it easier to order from biggest to smallest? Hopefully, this activity has helped you learn how to convert between decimals and percentages. Remember, to convert a decimal to a percentage, multiply by 100. To convert a percentage to a decimal, divide by 100. Great focus! That's another activity completed!
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