11062021 Changing between fractions decimals and percentages MATHSWATCH

11/06/2021 Changing between fractions, decimals and percentages MATHSWATCH CLIP 84, 85 GRADE 3 L. O. To be able to • Convert a percentage to a decimal and a fraction • Convert a decimal to a fraction and a percentage Key Words fraction, decimal, percentage, tenths, hundredths, divide Starter: Organise the cards in your pack into sets of three cards that each show the same amount. For example, the below cards all show the same amount but one is a fraction, one is a decimal and one is a percentage

11/06/2021 Changing between fractions, decimals and percentages MATHSWATCH CLIP 84, 85 GRADE 3 CONTENTS – Click to go to… CHANGING BETWEEN F, D AND P UNDERSTANDING THE RELATIONSHIP BETWEEN F, D AND P ORDERING F, D AND P

11/06/2021 Changing between fractions, decimals and percentages MATHSWATCH CLIP 84, 85 GRADE 3 CHANGING BETWEEN FRACTIONS, DECIMALS AND PERCENTAGES

11/06/2021 Changing between fractions, decimals and percentages MATHSWATCH CLIP 84, 85 GRADE 3 Converting a percentage: TO A DECIMAL § Just divide the percentage by 100 TO A FRACTION § Create a fraction with the percentage on the top, and 100 on the bottom § Cancel this fraction to its lowest terms

11/06/2021 Changing between fractions, decimals and percentages Percentages to decimals MATHSWATCH CLIP 84, 85 GRADE 3

11/06/2021 Example Write 75% as… a) A decimal Changing between fractions, decimals and percentages MATHSWATCH CLIP 84, 85 GRADE 3

11/06/2021 Example Write 64% as… a) A decimal Changing between fractions, decimals and percentages MATHSWATCH CLIP 84, 85 GRADE 3

11/06/2021 Changing between fractions, decimals and percentages Percentages to fractions MATHSWATCH CLIP 84, 85 GRADE 3

11/06/2021 Example Write 75% as… b) A fraction Changing between fractions, decimals and percentages MATHSWATCH CLIP 84, 85 GRADE 3

11/06/2021 Example Write 64% as… b) A fraction Changing between fractions, decimals and percentages MATHSWATCH CLIP 84, 85 GRADE 3

11/06/2021 Changing between fractions, decimals and percentages MATHSWATCH CLIP 84, 85 GRADE 3 1) 40 % 2) 30% 3) 70 % 4) 45 % 5) 35 % 6) 15 % 7) 42 % 8) 82 % 9) 5%

11/06/2021 1) 4) 7) Changing between fractions, decimals and percentages 40 % 2 5 45 % 9 20 42 % 21 50 2) 5) 8) 30% 3 10 35 % 7 20 82 % 41 50 MATHSWATCH CLIP 84, 85 GRADE 3 3) 7 70 % 10 6) 3 15 % 20 9) 1 20 5%

11/06/2021 Changing between fractions, decimals and percentages MATHSWATCH CLIP 84, 85 GRADE 3 Converting a decimal: TO A PERCENTAGE § Just multiply the decimal by 100 TO A FRACTION § Check which place value column your decimal extends into § Create a fraction with the decimal digits on the top, and 10, or 1000, etc on the bottom (depending how many decimal places the decimal had) § Cancel this fraction to its lowest terms

11/06/2021 Changing between fractions, decimals and percentages MATHSWATCH CLIP 84, 85 GRADE 3 Because this goes up to the tenths column, we would write this as a fraction with 10 on the bottom. . . th ou s an d s Th ed th Hu nd r hs Te nt Because this goes up to the thousandths column, we would write this as a fraction with 1000 on the bottom. . . s Explanation 0. 3 5 4 0. 2 7 0 0. 8 0 0 Because this goes up to the hundredths column, we would write this as a fraction with 100 on the bottom. . .

11/06/2021 Changing between fractions, decimals and percentages MATHSWATCH CLIP 84, 85 GRADE 3 Examples a) Write 0. 3 as a percentage and as a fraction b) Write 0. 42 as a percentage and as a fraction c) Write 0. 284 as a percentage and as a fraction

11/06/2021 Changing between fractions, decimals and percentages MATHSWATCH CLIP 84, 85 GRADE 3 Task Change these decimals to a) Percentages b) Fractions 1) 2) 3) 4) 0. 4 0. 2 0. 9 0. 7 1) 2) 3) 4) 0. 75 0. 95 0. 66 0. 24 1) 2) 3) 4) 0. 825 0. 455 0. 128 0. 626

11/06/2021 Changing between fractions, decimals and percentages MATHSWATCH CLIP 84, 85 GRADE 3 EXAM STYLE QUESTIONS Q 1. * Jim's pay is £ 180 each week. Jim asks his boss for an increase of £ 20 a week. Jim's boss offers him a 10% increase. Is the offer from Jim's boss more than Jim asked for? You must show your working. (Total 3 marks)

11/06/2021 Changing between fractions, decimals and percentages Q 2. There are 200 people in a cinema. 25% of the people are men. 1⁄ 5 of the people are women. The rest of the people are children. Work out how many children are in the cinema. (Total 3 marks MATHSWATCH CLIP 84, 85 GRADE 3