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Presentation transcript:

Whiteboardmaths.com © 2004 All rights reserved 5 7 2 1

Percentages of Quantities Remember: A percentage is simply a fraction out of 100. 23% 56% 84% 23 100 56 100 84 100

Percentages of Quantities Remember: A percentage is simply a fraction out of 100. Calculating percentages using a calculator 23% Example 1: Calculate 23% of $56 $56 23 100 of 56 23 100 x 56 2 3 1 x 5 6 = 23 100 $12.88 Calculator

Percentages of Quantities Remember: A percentage is simply a fraction out of 100. Calculating percentages using a calculator 58% Example 2: Calculate 58% of 34 kg 58 100 of 34 58 100 x 34 34 kg 58 100 5 8 1 x 3 4 = 19.72 kg

Percentages of Quantities Remember: A percentage is simply a fraction out of 100. Calculating percentages using a calculator 87% Example 3: Calculate 87% of 45 m 45 m 87 100 of 45 87 100 x 45 87 100 8 7 1 x 4 5 = 39.15 m

Percentages of Quantities Use your calculator to calculate the following. Q 1: Calculate 54% of $89 Q 2: Calculate 17% of 33 m $48.06 5.61 m Q 3: Calculate 84% of 350 g Q 4: Calculate 24% of $450 294 g $108 Q 5: Calculate 71% of 28 l Q 6: Calculate 43% of 16 kg 19.88 l 6.88 kg Q 7: Calculate 7% of $750 Q 8: Calculate 39% of 7.2 km $52.50 2.808 km

Percentages of Quantities Remember: A percentage is simply a fraction out of 100. A more efficient method using a decimal 36% Example 4: Calculate 36% of $84 36 100 of 84 36 100 x 84 $84 . 3 6 x 8 4 = 36 100 = 0.36 $30.24

Percentages of Quantities Remember: A percentage is simply a fraction out of 100. A more efficient method using a decimal 93% Example 5: Calculate 93% of 73 kg 73 kg 93 100 of 73 93 100 x 73 93 100 . 9 3 x 7 3 = = 0.93 67.89 kg

Percentages of Quantities Remember: A percentage is simply a fraction out of 100. Calculating percentages using a calculator 8% Example 6: Calculate 8% of 67 m 67 m 8 100 of 67 8 100 x 67 8 100 . 8 x 6 7 = = 0.08 5.36 m

Percentages of Quantities Use your calculator with a decimal to calculate the following: Q 1: Calculate 54% of $43 Q 2: Calculate 17% of 85 m $23.22 14.45 m Q 3: Calculate 84% of 830 g Q 4: Calculate 24% of $674 697.2 g $161.76 Q 5: Calculate 3% of 28 l Q 6: Calculate 9% of 16 kg 0.84 l 1.44 kg Q 7: Calculate 99% of $750 Q 8: Calculate 63% of 7.2 km $742.5 4.536 km

Percentages of Quantities Remember: A percentage is simply a fraction out of 100. Calculating general percentages without a calculator 23% Example 1: Calculate 23% of $56 Simply complete the multiplication sum with the given numbers then position the decimal point. $56 5 6 x 2 3 5 6 x 2 3 8 2 1 6 1 1 1 2 8 8 or if you prefer 1 6 8 23 100 1 1 2 = 0.23 $12.88 1 2 8 8 Non Calc Position 2 places from right

Percentages of Quantities Remember: A percentage is simply a fraction out of 100. Calculating general percentages without a calculator 47% Example 2: Calculate 47% of 65 m Simply complete the multiplication sum with the given numbers then position the decimal point. 65 m 6 5 x 4 7 6 5 x 4 7 2 6 3 0 5 5 5 4 5 or if you prefer 4 5 5 47 100 2 6 = 0.47 30.05 m 3 0 5 5 Position 2 places from right

Percentages of Quantities Remember: A percentage is simply a fraction out of 100. Calculating general percentages without a calculator 9% Example 3: Calculate 9% of 546 kg Simply complete the multiplication sum with the given numbers then position the decimal point. 546 kg 5 4 6 x 9 4 9 1 4 9 100 Position 2 places from right = 0.09 49.14 kg

Percentages of Quantities Calculate the following without a calculator. Q 1: Calculate 52% of $79 Q 2: Calculate 27% of 43 m $41.08 11.61 m Q 3: Calculate 74% of 270 g Q 4: Calculate 18% of $490 199.8 g $88.2 Q 5: Calculate 85% of 28 l Q 6: Calculate 7% of 16 kg 23.8 l 1.12 kg Q 7: Calculate 4% of £750 Q 8: Calculate 99% of 7.2 km £30 7.128 km

Percentages of Quantities Use your calculator to calculate the following. Q 1: Calculate 54% of $89 Q 2: Calculate 17% of 33 m Q 3: Calculate 84% of 350 g Q 4: Calculate 24% of $450 Q 5: Calculate 71% of 28 l Q 6: Calculate 43% of 16 kg Worksheet1 Q 7: Calculate 7% of $750 Q 8: Calculate 39% of 7.2 km

Percentages of Quantities Use your calculator with a decimal to calculate the following: Q 1: Calculate 54% of $43 Q 2: Calculate 17% of 85 m Q 3: Calculate 84% of 830 g Q 4: Calculate 24% of $674 Q 5: Calculate 3% of 28 l Q 6: Calculate 9% of 16 kg Worksheet 2 Q 7: Calculate 99% of $750 Q 8: Calculate 63% of 7.2 km

Percentages of Quantities Calculate the following without a calculator. Q 1: Calculate 52% of $79 Q 2: Calculate 27% of 43 m Q 3: Calculate 74% of 270 g Q 4: Calculate 18% of $490 Q 5: Calculate 85% of 28 l Q 6: Calculate 7% of 16 kg Worksheet3 Q 7: Calculate 4% of $750 Q 8: Calculate 99% of 7.2 km