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# Decimals and fractions

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### Decimals and fractions

1. 1. Decimals The relationship between fractions and decimals
2. 2. Two Questions 2 ponder
3. 3. What fraction of the rectangle is green? What decimal part of the rectangle is green? .6 They sound alike!!!
4. 4. To write a decimal as a fraction, write the fraction as you would say the decimal 0.12345 tenths Hundredths Thousandths Ten-thousandths Hundred-thousandths
5. 5. Say the decimal….Write it as a fraction <ul><li>.5 </li></ul><ul><li>.65 </li></ul><ul><li>.22 </li></ul><ul><li>.2 </li></ul><ul><li>.225 </li></ul>Notice….when you change a decimal to a fraction the denominator is always 10, 100, 1000 (powers of ten!)
6. 6. Is that all there is? Of Course Not You have to simplify the fraction if possible
7. 7. Write .6 as a fraction BUT SO .6 = Can be simplified to: .6 =
8. 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. 9. To make a decimal…do the division! .00 28 20 20 0 .75
10. 10. One more thing……… When you divide, REMEMBER, add zeros to finish your division. AND 2 THINGS CAN HAPPEN
11. 11. The division problem ends A Terminating decimal The division problem goes on forever…. Repeating decimal
12. 12. Repeating Decimals A single digit might repeat…. .3333…. Or a group of digits might repeat… .275275275….
13. 13. Show repeating decimals by placing a line over the digit or group of digits that repeats .33333…. Becomes .3 And .275275….becomes .275
14. 14. Remember Whole numbers stay the same! Will be 1.4 1.2 will be Simplified to:
15. 15. Homework Page 212 in your textbook…. Problems 14-38 Start now!