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Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 4.6 Fractions and Decimals.

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Presentation on theme: "Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 4.6 Fractions and Decimals."— Presentation transcript:

1 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 4.6 Fractions and Decimals

2 Martin-Gay, Basic Mathematics, 4e 22 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Writing Fractions as Decimal Writing Fractions as Decimals To write a fractions as a decimal, divide the numerator by the denominator.

3 Martin-Gay, Basic Mathematics, 4e 33 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example Write as a decimal. Thus, written as a decimal is 0.2.

4 Martin-Gay, Basic Mathematics, 4e 44 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Writing Fractions as Decimals Practice Problem 1a SOLUTION Write as a decimal. P 298

5 Martin-Gay, Basic Mathematics, 4e 55 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Writing Fractions as Decimals Problem Practice 1b SOLUTION Write as a decimal. P 298

6 Martin-Gay, Basic Mathematics, 4e 66 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example Write as a decimal. Notice that the digit 1 keeps occurring as the remainder. This will continue the digit 3 repeating in the quotient. We place a bar over the digit to indicate it repeats. Should be P 298

7 Martin-Gay, Basic Mathematics, 4ed 77 Practice Problems P 298 Practice Problem 2a Writing Fractions as Decimals

8 Martin-Gay, Basic Mathematics, 4ed 88 Practice Problems P 298 Practice Problem 2b Writing Fractions as Decimals

9 Martin-Gay, Basic Mathematics, 4ed 99 Practice Problems P 300 Practice Problem 3 Writing Fractions as Decimals

10 Martin-Gay, Basic Mathematics, 4ed 10 Practice Problems P 299 Practice Problem 4 Writing Fractions as Decimals

11 Martin-Gay, Basic Mathematics, 4e 11 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example Write as a decimal. 0.375 Write the fractional part only as a decimal. Option 1. Option 2. Write as an improper fraction and divide. 4.375

12 Martin-Gay, Basic Mathematics, 4ed 12 Practice Problems P 300 Practice Problem 5 Writing Fractions as Decimals

13 Martin-Gay, Basic Mathematics, 4ed 13 Practice Problems P 300 Practice Problem 6 Writing Fractions as Decimals

14 Martin-Gay, Basic Mathematics, 4e 14 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Comparing Fractions and Decimals Original numbers Decimals Compare Thus

15 Martin-Gay, Basic Mathematics, 4e 15 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Comparing Decimals and Fractions Original numbers Decimals Compare Thus P 300 Practice Problem 7

16 Martin-Gay, Basic Mathematics, 4e 16 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Comparing Decimals and Fractions Original numbers Decimals Compare P 300 Practice Problem 8a Original numbers Decimals Compare Practice Problem 8b Original numbers Decimals Compare Practice Problem 8c

17 Martin-Gay, Basic Mathematics, 4e 17 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Comparing Decimals and Fractions Original numbers Decimals Sort P 300 Practice Problem 9a Practice Problem 9b Practice Problem 9c Original numbers Decimals Sort Original numbers Decimals Sort

18 Martin-Gay, Basic Mathematics, 4e 18 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Solving Area Problems Containing Fractions and DecimalsEXAMPLE SOLUTION The area of a triangle is Find the area of the following triangle. 17 feet 4.4 feet Write as.5.

19 Martin-Gay, Basic Mathematics, 4e 19 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. DONE

20 Martin-Gay, Basic Mathematics, 4e 20 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example The area of a triangle is Find the area of the following triangle. 17 feet 4.4 feet The area of the triangle is 37.4 square feet.


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