1. © 2012 Pearson Prentice Hall. All rights reserved 4.5 Fractions, Decimals, and Order of Operations

2. 22 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. To write a fraction as a decimal, divide the numerator by the denominator. Writing Fractions as Decimals

3. 33 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Write as a decimal. Write the fractional part only as a decimal. Thus Example

4. 44 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Write as a decimal. Write 2/5 as an equivalent fraction with a denominator of 10. Example

5. 55 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Comparing Fractions and Decimals To compare decimals and fractions, write the fraction as an equivalent decimal. Compare 0.125 and Therefore, 0.125 < 0.25

6. 66 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example Insert, or = to form a true statement. Write 7/8 as a decimal and compare.

7. 77 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Order of Operations 1. Perform all operations within parentheses ( ), brackets [ ], or other grouping symbols such as fraction bars, starting with the innermost set. 2.Evaluate any expressions with exponents. 3.Multiply or divide in order from left to right. 4.Add or subtract in order from left to right.

8. 88 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example Simplify 1.4(2 – 1.8).

9. 99 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example Simplify

10. 10 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Using the Order of Operations Simplify ( – 2.3) 2 + 4.1(2.2 + 3.1) Simplify inside parentheses. ( – 2.3) 2 + 4.1(2.2 + 3.1) = ( – 2.3) 2 + 4.1(5.3) = 5.29 + 4.1(5.3) Write ( – 2.3) 2 as 5.29. = 5.29 + 21.73 Multiply. = 27.02 Add.

11. 11 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Finding the Area of a Triangle base height A base height =12 Abh= 1 2

12. 12 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Finding the Area of a Triangle base = 9. 4 feet height = 8 feet A base height =12

13. 13 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Using Decimals as Replacement Values Evaluate