Decimals & Fractions Examples

1 A Resource for Free-standing Mathematics Qualifications Fractions , Decimals and % The Nuffield Foundation 1 Photo-copiable Decimals & Fractions Examples To change a decimal to a fraction: use the place value of the last digit = 10085 = 2017 To change a fraction to a decimal: divide the top by the bottom 54 = 4 5 = Fractions , Decimals & % Examples To write a % as a fraction or decimal, divide by 100 64% = 64 100 = 64% = 10064 = 2516 To write a decimal or fraction as a % multiply by 100 = 100 = 52 = 52 100 ( 52 of 100) 2 5 100 = 40% Some to try: 1 Write these Decimals as Fractions : = = = = = = = = On a calculator press: 85 cba 100 = 5 5 hundredths or 2 cba 5 100 = 40% On a calculator press: 64 cba 100 = A Resource for Free-standing Mathematics Qualifications Fractions , Decimals and % The Nuffield Foundation 2 Photo-copiable 2 Write these Fractions as Decimals : 107 = 51 = 52 = 43 = 87 = 32 = 209 = 257 = 3 Write these percentages as Decimals : 3% = 30% = 25% = 80% = 8% = 12% = 67% = = 4 Write these percentages as Fractions : 20% = 75% = 5% = 30% = 40% = 15% = 24% = 35% = 5 Write these Decimals as percentages.

2 = = = = = = = = 6 Write these Fractions as percentages: 101 = 51 = 109 = 43 = 54 = 2017 = 31 = 32 = A Resource for Free-standing Mathematics Qualifications Fractions , Decimals and % The Nuffield Foundation 3 Photo-copiable Complete this table. Fraction Decimal 101 51 103 52 21 53 107 54 109 41 43 A Resource for Free-standing Mathematics Qualifications Fractions , Decimals and % The Nuffield Foundation 4 Photo-copiable Complete this table. Decimal Fraction A Resource for Free-standing Mathematics Qualifications Fractions , Decimals and % The Nuffield Foundation 5 Photo-copiable Draw a line from each decimal to the equivalent fraction.

3 53 101 41 52 107 109 21 103 43 54 51 A Resource for Free-standing Mathematics Qualifications Fractions , Decimals and % The Nuffield Foundation 6 Photo-copiable Complete this table. % Decimal % Decimal 1% 10% 2% 20% 3% 30% 4% 40% 5% 50% 6% 60% 7% 70% 8% 80% 9% 90% A Resource for Free-standing Mathematics Qualifications Fractions , Decimals and % The Nuffield Foundation 7 Photo-copiable Complete this table. % Fraction % Fraction 1% 10% 2% 20% 3% 30% 4% 40% 5% 50% 6% 60% 7% 70% 8% 80% 9% 90% A Resource for Free-standing Mathematics Qualifications Fractions , Decimals and % The Nuffield Foundation 8 Photo-copiable Complete this table.

4 Decimal % Decimal % A Resource for Free-standing Mathematics Qualifications Fractions , Decimals and % The Nuffield Foundation 9 Photo-copiable Complete this table. Fraction % 101 51 103 52 21 53 107 54 109 41 43 A Resource for Free-standing Mathematics Qualifications Fractions , Decimals and % The Nuffield Foundation 10 Photo-copiable Fill the gaps in the table: Percentage Fraction Decimal 10% 103 40% 53 70% 109 25% 43 A Resource for Free-standing Mathematics Qualifications Fractions , Decimals and % The Nuffield Foundation 11 Photo-copiable Unit Foundation Level.

5 Managing money & Making sense of data Notes Although questions that ask candidates to write a percentage as a decimal or fraction (or vice versa) occur very frequently on the examination papers for these FSMQs, candidates often cannot do this. For example the Examiner's Report on the January 2007 Making sense of data examination states that in question 4 when candiates were asked to write 5% as a fraction and as a decimal 'relatively few candidates obtained the fraction 1005, and of those who did it was rare to see this fraction simplified from to 1005 to 201' and 'it was common to see 5% turned into the decimal instead of ' Pages 1 and 2 of this resource give a brief summary of the methods that students are likely to use for conversions in a test (when they have access to a calculator) followed by a practice exercise.

6 Pages 3 to 10 provide a series of worksheets that can be used for frequent reminders, possibly as session starters. They can also be used in discussions about the patterns and links between the results. The internet also provides a range of user-friendly resources to give practice in converting between Fractions , Decimals and %. Some useful links are given below: #Percentages Of course conversions from one form to another should be used as often as possible in real contexts. For example, writing sale offers such as '31 OFF' in terms of a % (or vice versa), working out what a pay rise of 5% means in terms of a fraction or what a part-time worker s fractional salary expressed as a decimal is as a % of a full-time salary.

7 Answers 1 = 103 = 21 = 53 = 501 = 201 = 41 = 209 = 81 Teacher Notes A Resource for Free-standing Mathematics Qualifications Fractions , Decimals and % The Nuffield Foundation 12 Photo-copiable 2 107 = 51 = 52 = 43 = 87 = 32 = (2 dp) 209 = 257 = 3 3% = 30% = 25% = 80% = 8% = 12% = 67% = = 4 20% = 51 75% = 43 5% = 201 30% = 103 40% = 52 15% = 203 24% = 256 35% = 207 5 = 25% = 50% = 70% = 7% = 45% = 9% = 40% = 6 101 = 10% 51 = 20% 109 = 90% 43 = 75% 54 = 80% 2017 = 85% 31 = (1 dp) 32 = (1 dp) A Resource for Free-standing Mathematics Qualifications Fractions , Decimals and % The Nuffield Foundation 13 Photo-copiable Fraction Decimal 101 51 103 52 21 53 107 54 109 41 43 A Resource for Free-standing Mathematics Qualifications Fractions , Decimals and % The Nuffield Foundation 14 Photo-copiable Decimal Fraction 101 51 103 52 21 53 107 54 109 41 43 A Resource for Free-standing Mathematics Qualifications Fractions .

8 Decimals and % The Nuffield Foundation 15 Photo-copiable 53 101 41 52 107 109 21 103 43 54 51 A Resource for Free-standing Mathematics Qualifications Fractions , Decimals and % The Nuffield Foundation 16 Photo-copiable % Decimal % Decimal 1% 10% 2% 20% 3% 30% 4% 40% 5% 50% 6% 60% 7% 70% 8% 80% 9% 90% A Resource for Free-standing Mathematics Qualifications Fractions , Decimals and % The Nuffield Foundation 17 Photo-copiable % Fraction % Fraction 1% 1001 10% 101 2% 501 20% 51 3% 1003 30% 103 4% 251 40% 52 5% 201 50% 21 6% 503 60% 53 7% 1007 70% 107 8% 252 80% 54 9% 1009 90% 109 A Resource for Free-standing Mathematics Qualifications Fractions , Decimals and % The Nuffield Foundation 18 Photo-copiable Decimal % Decimal % 10% 1% 20% 2% 30% 3% 40% 4% 50% 5% 60% 6% 70% 7% 80% 8% 90% 9% 25% 75% A Resource for Free-standing Mathematics Qualifications Fractions .

9 Decimals and % The Nuffield Foundation 19 Photo-copiable Fraction % 101 10% 51 20% 103 30% 52 40% 21 50% 53 60% 107 70% 54 80% 109 90% 41 25% 43 75% A Resource for Free-standing Mathematics Qualifications Fractions , Decimals and % The Nuffield Foundation 20 Photo-copiable Percentage Fraction Decimal 10% 101 20% 51 30% 103 40% 52 50% 21 60% 53 70% 107 80% 54 90% 109 25% 41 75% 43