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5-1 Decimals as Fractions

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Presentation on theme: "5-1 Decimals as Fractions"— Presentation transcript:

1 5-1 Decimals as Fractions

2 Two Questions 2 ponder

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

4 To write a decimal as a fraction, write the fraction as you would say the decimal
Hundredths Ten-thousandths tenths Hundred-thousandths 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!) .5 .65 .22 .2 .225

6 You have to simplify the fraction if possible
Is that all there is? Of Course Not You have to simplify the fraction if possible

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

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!
.00 28 20 .75

10 One more thing……… When you divide, REMEMBER, add zeros to finish your division. AND 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 1.4 1.2 will be Simplified to:
Whole numbers stay the same!

15 Homework Page 212 in your textbook…. Problems 14-38 Start now!


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