Percentages Learning outcomes Meaning of percentage and remaining
- Slides: 20
Percentages
Learning outcomes: • Meaning of percentage and remaining part in percentages • Changing fractions to percentages • Changing percentages to fractions • Changing decimals to percentages • Changing percentages to decimals • Percentage value • Increase and final value • Percentage decrease • Percentage change
Meaning of percentage : •
The Remaining Part in Percentages: 15% 65% The whole is 100 % In a car park 17% of the cars are Nissan Patrols. What percentage of the cars is not Nissan patrols? • 100% - 17% = 83% • 83% are not Nissan patrols.
Practice: 1. A healthy diet consists of the following main nutrients: Carbohydrates – 55% Protein – 15% The rest is fats. What is the percentage of fats in a healthy diet? 2. Thuraya’s annual incomes from the following: 60% basic salary 20% housing allowance 3% transportation allowance 12% overtime pay The rest is her travel allowance. What is the percentage of her travel allowance?
Changing fractions to percentages : •
Practice: •
Changing percentages to fractions •
Practice: • Change to fractions: a) 0. 9% = b) 578 % = c) 12. 3 % = d) 2. 3 % =
Changing decimals to percentages • To change a decimal to a percentage , multiply by 100 then we add the percent sign. × 100 decimal • 0. 05 = ……. . % 0. 05 = 0. 05 × 100 = 5 % percentage
Practice: • Change to percentages: a) 0. 08 = b) 36. 8 = c) 0. 92= d) 1. 7 =
Changing percentages to decimals • To change a percentage to a decimal , we divide by 100. ÷ 100 Percentage • 5% = 5 ÷ 100 = 0. 05 • 316 % = 316 ÷ 100 = 3. 16 decimal
Practice: Change to decimals: a. 35% = b. 140 % = c. 58. 5% = d. 17. 45% = e. 9% =
How to calculate percentage: •
Practice: •
Percentage value •
Practice: • Find: • 10% of 560 • 6% of 150 • 0. 3% of 1700 • 0. 7% of 600 • 280% of 110 • There are 32 cars in a car park. 25% of them are taxis. How many cars are not taxis?
Increase and final value •
Percentage decrease • How to calculate the decrease? • Discount (%) × original price = Amount of discount • Original price – discount = sale price = discounted price = new price = reduced price = price after discount
Percentage change •