Fractions Decimals and Percentages Percentages in Everyday Life

Fractions, Decimals and Percentages

Percentages in Everyday Life Chris bought a jacket at 25% off. Sandra got 95% on her Science test. Mimi has read 50% of her book. Jordan’s i. Pad has 17% battery left. Can you think of any other examples of percentages in everyday life? Max pays 8% interest on his mortgage.

Percentages in Everyday Life • Percentages are all around us. They are so common in our everyday lives that we may not even realise when we are using them! Some everyday uses of percentages include: - finance (interest rates) - weather (chance of rainfall) - labelling (nutritional information) - data displays (survey results) - sport (player statistics). • Can you think of any others?

What is a Percentage? • A percentage is another way of expressing a fraction (a part of a whole). • The word percentage actually means ‘per hundred’. • One whole is represented by 100 parts out of 100. This is written as 100%. • Percentages can also be expressed as fractions and as decimals. 75% percentage fraction 0. 75 decimal

Percentage Equivalences This square represents one whole. The whole has been divided into one hundred equal parts. Another way of saying this is that the square has been divided into one hundredths.

Percentage Equivalences These coloured squares represent forty-three hundredths of the whole square. As a decimal, this is written as 0. 43. As a percentage, this is written as 43%.

Percentage Equivalences – Example What percentage does the coloured section represent? How is this written as a fraction and as a decimal? The coloured section represents seventy-eight hundredths of the whole square. As a decimal, this is written as 0. 78. As a percentage, this is written as 78%.

Percentage Equivalences Fill in the missing information in the table below. Fraction Decimal Percentage 18 out of 100 0. 83 72% 9 out of 100

Percentage Equivalences - Answers 18 out of 100 Fraction Decimal 18 ___ 100 0. 18 41 out of 100 Percentage 18% 0. 41 41% 83 out of 100 83 ___ 100 0. 83 83% 72 out of 100 72 ___ 100 0. 72 72% 9 out of 100 9 ___ 100 0. 09 9%