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Published byGrace Houston Modified over 2 years ago

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Decimals The relationship between fractions and decimals

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What fraction of the rectangle is green? What decimal part of the rectangle is green?.6 They sound alike!!!

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To write a decimal as a fraction, write the fraction as you would say the decimal tenths Hundredths Thousandths Ten-thousandths Hundred- thousandths

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Say the decimal….Write it as a fraction Notice….when you change a decimal to a fraction the denominator is always 10, 100, 1000 (powers of ten!)

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Is that all there is? You have to simplify the fraction if possible

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Write.6 as a fraction.6 = Can be simplified to:.6 =

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What about fractions to decimals? You can write a fraction as a decimal by dividing the numerator by the denominator…..the fraction symbol means division!

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To make a decimal…do the division!

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One more thing……… When you divide, REMEMBER, add zeros to finish your division. 2 THINGS CAN HAPPEN

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The division problem ends A Terminating decimal The division problem goes on forever….Repeating decimal

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Repeating Decimals A single digit might repeat…..3333…. Or a group of digits might repeat… ….

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Show repeating decimals by placing a line over the digit or group of digits that repeats.33333…. Becomes.3 And ….becomes.275

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Remember Will be will be Simplified to: Whole numbers stay the same!

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Homework Page 212 in your textbook…. Problems Start now!

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