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Decimals The relationship between fractions and decimals.

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Presentation on theme: "Decimals The relationship between fractions and decimals."— Presentation transcript:

1 Decimals The relationship between fractions and decimals

2 2

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

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

5 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!)

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

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

8 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!

9 To make a decimal…do the division!

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

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

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

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

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

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


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