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Published byAbbie Shales Modified about 1 year ago

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Terminating and Recurring Decimals Investigation

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Fractions to decimals: Most people know that the fraction ½ can be represented as the decimal 0.5 Many people also know that one third is the same as …… ?

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Fractions to decimals: Most people know that the fraction ½ can be represented as the decimal 0.5 Many people also know that one third is the same as 0.33333333333333….

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Vocabulary terminating0.5 is a terminating decimal recurring0.333333333333333………… is a recurring decimal Learn the words in red

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Investigation Which fractions convert to terminating decimals? Which fractions convert to recurring decimals? The next slide provides some starting points (if you need them!)

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Organise your work: Convert fractions to decimals in order: –One Half –One Third –One Quarter –One Fifth …. etc

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Fraction Families: Consider fractions with the same denominator: –One over Eleven –Two over Eleven –Three over Eleven –Four over Eleven etc What do you notice?

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Try using a Spreadsheet

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Organise your results What are the things you have found out about the decimal equivalent of fractions? Did you discover any patterns in the recurring decimals? Did you find any rules for predicting the nature of the decimals?

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Present your results Present all you have found in a form that others will understand Make your findings interesting You may wish to use PowerPoint and report back to the whole class.

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Good Luck Most people like decimals but others don’t see the point!

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