From this pdf, students will learn to develop an understanding of how to convert and write equivalent decimals and percentages and also: 1. To multiply and divide by 100. 2. To convert decimals to percentages. 3. To convert percentages to decimals.
1. Converting between Fractions, Decimals and Percentages Lesson 2: Decimals to Percentages
2. Learning Objective To develop an understanding of how to convert and write equivalent decimals and percentages. Targeting Assessment Objective A01 Success Criteria • To multiply and divide by 100. • To convert decimals to percentages. • To convert percentages to decimals.
4. Did Someone Say ‘Pizza’ Again? Two friends decide to buy a pizza and they see the following offers: Buy one pizza Buy one pizza 0.3 and get and 35% ! extra get free extra free! Assuming the pizzas are the same size and base price, how would you calculate the best offer?
5. Converting Decimals to Percentages Convert 0.84 to a percentage = 84% When we convert a decimal to a percentage, we multiply by 100 because percent means ‘per cent’ or ‘per 100’. Thousands Hundreds Tens Units Tenths Hundredths Thousandths 0 8 4 We don’t need this 0 here.
6. Converting Decimals to Percentages Convert 0.04 to a percentage = 4% When we convert a decimal to a percentage, we multiply by 100 because percent means ‘per cent’ or ‘per 100’. Thousands Hundreds Tens Units Tenths Hundredths Thousandths 0 0 4 We don’t need …or this 0 here… here.
7. Converting Decimals to Percentages Convert each decimal to a percentage: 1. 0.55 55% 2. 0.42 42% 3. 0.05 5% 4. 0.68 68% 5. 1.24 124%
8. Converting Decimals to Percentages If we multiply a decimal by 100 when converting it to a percentage, what do you think we could do when converting a percentage to a decimal? We can divide by 100.
9. Converting Percentages to Decimals Convert 23% to a decimal = 0.23 When we convert a percentage to a decimal, we divide by 100. Thousands Hundreds Tens Units Tenths Hundredths Thousandths 2 0 3 We must make sure we add a zero to the units column as a placeholder.
10. Converting Percentages to Decimals Convert 9% to a decimal = 0.09 When we convert a percentage to a decimal, we divide by 100. Thousands Hundreds Tens Units Tenths Hundredths Thousandths 0 9 0 We must add in …and here as a zero here… a placeholder.
11. Converting Percentages to Decimals Convert each percentage to a decimal: 1. 88% 0.88 2. 46% 0.46 3. 1% 0.01 4. 30% 0.30 or 0.3 5. 100% 1.00 or 1
12. F.D.P. Grid Divide by 100 Multiply by 100
13. Your Turn
14. Loop Cards
15. Exit Ticket Two friends decide to buy a pizza and they see the following offers: Buy one pizza Buy one pizza 0.3 and get and 35% ! extra get free extra free! Assuming the pizzas are the same size and base price, how would you calculate the best offer? To convert 0.3 to a percentage, we multiply it by 100. This gives us 30%. We know that this is less than 35%, so the first offer is the best. Equally, we can divide by 100 to work out that 35% is 0.35.
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