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# (5)percentage (pg 37 49)

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### (5)percentage (pg 37 49)

1. 1. Learning OutcomesConvert mixed numbers to percentage.Convert decimal numbers of value more than 1 topercentage.Find the value for a given percentage of a quantity.Solve problems in real context involvingrelationships between percentage, fractions anddecimals.
2. 2. Points to note Relationship between fractions, percentage and decimals.Fractions Fractions of hundredth Percentage Decimal Numbers 1 1x 50 50 2 2x 50 = 100 50 % 0.5 1 1x 25 25 4 4x 25 = 100 25 % 0.25 3 3x 25 75 4 4 x 25 = 100 75 % 0.75 1 1x 20 20 5 5 x 20 = 100 20 % 0.2 2 2x 20 40 5 5 x 20 = 100 40 % 0.4 3 3 10 x 30 10 10 10 x = 100 30% 0.3 9 9 5 x 45 20 x 5 20 = 100 45% 0.45 7 7 4 x 28 25 x 4 25 = 100 28% 0.28 13 13 2 x 26 50 x 2 50 = 100 26% 0.26 Perfect Couples of 100 2 4 5 10 10 20 25 50 2×50=100 4×25=100 5×20=100 10×10=100
3. 3. Convert mixed numbers to percentage Convert to percentage must multiply by Example 1 : Convert 1 to a percentage Step 1 : Convert the mixed number to improper fraction 1 1 Alternative method : Use cancellation method × 100 20 Step 2 : Multiply by 100% 8 × 100% 5 S Step 3 : 800 ÷ 5 160 %Convert decimals numbers to percentage
4. 4. Convert to percentage must Example 1 : multiply by Convert 3.25 to a percentage Multiply by 100 : Shift the decimal point to 2 decimal places to the right Step 1 : 3.25 × 100 325 % Convert to percentage must Example 2 : multiply by Convert 5.05 to a percentage Multiply by 100% : Shift the decimal point to 2 decimal places to the right Step 1 : 5.05 × 100 505%Find the value for a given percentage of quantity
5. 5. Example 1 : 2 20 % =of X What is 20 % of RM 400 Step 1 : Convert the percentage to the fraction of hundredth 20 of RM 400 100 Step 2 : of means multiply 20 × RM 400 100 Step 3 : RM8 000 RM 8 000 ÷ 100 100 RM 80
6. 6. Solve problems in real context in real context involvingrelationship between percentage, fractions and decimals Example 1 : In a class which has 40 pupils, 30% of them are boys. What is the number of boys in the class? Step 1 : 1. Total = 40 pupils 2. 30 % are boys 3. Boys = 30% of 40 pupils Understand the problem and underline the key words 3 30% = of means multiply Step 2 : 30 100 × 40 pupils Step 3 : Carry out 1200 the plan 100 pupils 1200 ÷100 = 12 pupils Nizam has 150 marbles. 60% of the marbles are red and the rest are yellow. Calculate the number of red marbles.
7. 7. Example 2 : Step 1 : 1. Total = 150 marbles 2. 60% are red marbles 3. Red = 60% of 150 marbles Understand the problem andunderline the key words 60% = Step 2 : Of means × × Step 3 :Carry out ? the plan ? ÷ 100 100 = ? marbles
8. 8. EXAMPLE HOW TO SOLVE Step 1: EXAMPLE 3Understand the Cost price RM 2 500problem and Discount 20 %underline the I ItemOriginal PriceDiscountWashing MachineRM 2 50020 % Wkeywords. F Find the price of the washing machine after discount . Carry outStep 2: the planPrice after 20 % discount= 100 % - 20 %= 80 %Implementing the planby cancellationmethod 80 × RM 2 500 100 = 80 × RM 25 = RM 2 000