CHANGING FRACTIONS TO DECIMALS

# CHANGING FRACTIONS TO DECIMALS

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## CHANGING FRACTIONS TO DECIMALS

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1. CHANGING FRACTIONS TO DECIMALS CONFIDENTIAL

2. LET’S REVIEW WHAT WE STUDIED • Divide • 2.0 ÷ 5 = 0.4 • 3.0 ÷ 4 = 0.75 • 1.0 ÷ 8 = 0.125 • 1.0 ÷ 4 = 0.25 • 4.0 ÷ 5 = 0.8 CONFIDENTIAL

3. Changing fractions to decimals • Fractions with denominators of 10, 100, 1000 can be written as a decimal using place value. • Any fraction can be written as a decimal using division CONFIDENTIAL

4. Different Types of Decimals • There are 2 types of decimals: • Decimals line 0.25, 0.75 etc are called terminating decimals because the division ends or terminates, when the remainder is zero. • A decimal like 0.222222…is called a repeating decimal, because the digits repeat. CONFIDENTIAL

5. Examples of Repeating Decimal • 0.8888888…… = 0.8 means the digit 8 repeats 2.8787878….. = 2.87 the digits 8 and 7 repeats CONFIDENTIAL

6. Write fractions as Terminating Decimal 0.875 8 7. 000 - 6 4 60 -56 40 -40 0 • METHOD 1 Write 7 as decimal 8 So, 7 = 0.875 8 CONFIDENTIAL

7. METHOD – 2 • Use a calculator 7 8 = 0.875 ÷ CONFIDENTIAL

8. Your turn • Write each fraction or mixed numbers as a decimal 1. 1 = 0.125 8 2. ½ = 0.5 CONFIDENTIAL

9. BREAK CONFIDENTIAL

10. Write fractions as Repeating Decimals • Write 5 as repeating decimals 11 0.4545 11 5.0000 - 44 60 -55 50 - 44 60 Divide by 11 Thus 5 = 0.45 11 The pattern will continue CONFIDENTIAL

11. Example – 2 • Write 1 1 as decimal. 6 That is, 1 + 1 ÷ 6 = 2.1666… 0. 16666… 6 • 1.0000 • 6 • 40 • 36 • 40 • 36 • 40 CONFIDENTIAL

12. Your Turn • Write each fraction or mixed number as decimal a) 4 = 0.4444…. = 0.4 9 b) 3 2 = 3. 66666… = 3.6 3 CONFIDENTIAL

13. PRACTICE PROBLEMS • Write each fraction or mixed number as decimal a) 7 10 b) 9 16 c) 11 13 d) 8 ½ e)15 3 16 f)9 3 11 g) 3 1 3 h)5 5 11 Ans: a) 0.7 b) 0.5625 c) 0.846158 d) 8.5 e) 15.1875 f) 0.272727… g) 3.333333…. H) 5.454545….. CONFIDENTIAL

14. PUZZLES !!!! • http://www.thekidzpage.com/onlinejigsawpuzzles/kids-jigsaw-puzzles/12-piece-jigsaw/12-27-06-husky.html CONFIDENTIAL

15. WORD PROBLEMS • Paul has finished 6 of his work . 11 Represent the fraction as decimal. 6 = 0.54545454…… 11 CONFIDENTIAL

16. Now do it by yourself • The distance traveled by a car is 2 3 miles. 8 Write this mileage as a decimal. Answer : 2 3 = 2.375 miles 8 CONFIDENTIAL

17. REVIEW • Terminating Decimals are decimals which ends, terminates, when the remainder is zero. • Repeating Decimals are decimals which never ends or its digits are repeating. CONFIDENTIAL

18. That’s all for today See you soon with a New Chapter CONFIDENTIAL