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3.5

Order, Exponents, and the Order of Operations. 3.5. Comparing Fractions. P 215. Comparing Fractions. The inequality symbols < or > can be used to write the order of numbers. Comparing Fractions To determine which of two fractions is greater,

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3.5

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  1. Order, Exponents, and the Order of Operations 3.5

  2. Comparing Fractions P 215

  3. Comparing Fractions The inequality symbols < or > 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

  4. Example 1 Insert < or > to form a true statement. The LCD of 10 and 7 is 70. Since 21 > 20, then P 215

  5. Comparing Fractions P 215-216

  6. Evaluating Fractions Raised to Powers Evaluate each expression. 1. 2. P 216

  7. Evaluating Fractions Raised to Powers Practice Problem 3 Evaluate SOLUTION P 216

  8. Evaluating Fractions Raised to Powers Practice Problem 4 Evaluate SOLUTION P 216

  9. Evaluating Fractions Raised to Powers Practice Problem 5 Evaluate SOLUTION P 216

  10. Reviewing Operations on Fractions P 217

  11. 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.

  12. Example Simplify: Divide first.Multiply by the reciprocal. Change to like fractions.

  13. Example Simplify: Add inside ParensLike fractions Exponent Multiply by reciprocal. P 217

  14. Using Order of Operations Practice Problem 10 Use the order of operations to simplify SOLUTION Divide. Multiply by reciprocal Multiply P 217-218

  15. Using Order of Operations Practice Problem 11 Use the order of operations to simplify SOLUTION Subtract. Exponent Divide P 217-218

  16. Using Order of Operations Practice Problem 12 OR, Simplify 28/24 to 7/6. Divide 7/6 by 3. Find the average of SOLUTION LCM is 24 P 217-218

  17. DONE

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