Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 3.5 Order, Exponents, and the Order of Operations

Martin-Gay, Basic Mathematics, 4ed 22 Comparing Fractions P 215

Martin-Gay, Basic Mathematics, 4e 33 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Comparing Fractions The inequality symbols can be used to write the order of numbers. Comparing Fractions To determine which of two fractions is greater, Step 1: Write the fractions as like fractions. Step 2: The fraction with the greatest numerator is the greater fraction. P 215

Martin-Gay, Basic Mathematics, 4e 44 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example 1 Insert to form a true statement. The LCD of 10 and 7 is 70. Since 21 > 20, then P 215

Martin-Gay, Basic Mathematics, 4ed 55 Comparing Fractions Comparing Fractions: Practice Problem 1 Step 1: Write the fractions as like fractions Step 2: The fraction with the greater numerator is the greater fraction. Practice Problem 2 Step 1: Write the fractions as like fractions Step 2: The fraction with the greater numerator is the greater fraction. P

Martin-Gay, Basic Mathematics, 4e 66 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Evaluating Fractions Raised to Powers Evaluate each expression P 216

Martin-Gay, Basic Mathematics, 4e 77 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Evaluating Fractions Raised to Powers Practice Problem 3 SOLUTION Evaluate P 216

Martin-Gay, Basic Mathematics, 4e 88 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Evaluating Fractions Raised to Powers Practice Problem 4 SOLUTION Evaluate P 216

Martin-Gay, Basic Mathematics, 4e 99 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Evaluating Fractions Raised to Powers Practice Problem 5 SOLUTION Evaluate P 216

Martin-Gay, Basic Mathematics, 4e 10 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Reviewing Operations on Fractions P 217

Martin-Gay, Basic Mathematics, 4e 11 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Using the Order of Operations Order of Operations 1. Perform all operations within parentheses ( ), brackets [ ], or other grouping symbols such as square roots or 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.

Martin-Gay, Basic Mathematics, 4e 12 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example Simplify: Divide first. Multiply by the reciprocal. Change to like fractions.

Martin-Gay, Basic Mathematics, 4e 13 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example Simplify: Add inside Parens Like fractions Exponent Multiply by reciprocal. P 217

Martin-Gay, Basic Mathematics, 4e 14 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Using Order of Operations Practice Problem 10 SOLUTION Use the order of operations to simplify Divide. Multiply P Multiply by reciprocal

Martin-Gay, Basic Mathematics, 4e 15 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Using Order of Operations Practice Problem 11 SOLUTION Use the order of operations to simplify Subtract. Exponent Divide P

Martin-Gay, Basic Mathematics, 4e 16 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Using Order of Operations Practice Problem 12 SOLUTION Find the average of LCM is 24 OR, Simplify 28/24 to 7/6. Divide 7/6 by 3. P

Martin-Gay, Basic Mathematics, 4e 17 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. DONE