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Mastering Rational Numbers: Step-by-Step Problem Solving Guide

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Practice and learn how to solve rational numbers step by step, covering conversion, common denominators, and sign rules, with examples and exercises for comprehensive understanding.

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Mastering Rational Numbers: Step-by-Step Problem Solving Guide

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  1. Warm Up Add. #2 #1 List the steps you used to solve questions #1 & #2. #3

  2. Warm Up Add. #2 #1

  3. Please check your class work from last week. Textbook: Pg. 54 #4-18 EVEN only 4) 1/3 6) -0.9 2 1/3 10) -3.45 4.539 14) The sum of the numerators is incorrect. Answer should be -1/2 -3/4 18) -$5.35

  4. EXAMPLE #1 Step 1: Convert mixed number to improper fractions. Step 2: Find LCD (Lowest Common Denominator). Step 3: Change subtraction to addition AND second number to it’s opposite. (Subtracting is the same as adding it’s opposite!) Step 4: Look at the signs. SAME SIGN ADD (keep both signs) DIFFERENT SIGN SUBTRACT (keep sign of larger number) Step 5: Simplify!

  5. You Try It! #1 #2

  6. EXAMPLE #2 Step 1: Change the subtraction sign to addition and second number to it’s opposite. Step 2: Look at the signs SAME SIGN ADD (Keep both signs) DIFFERENT SIGN SUBTRACT (Keep sign of largernumber)

  7. You Try It! #1 #2

  8. Homework: Textbook Pg. 62 #1-12 ALL; 15-19 ODD; 22 (16 Questions total) Quiz: Friday, October 10: Adding Rationals (Section 2.2) & Subtracting Rationals (Section 2.3)

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