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MATH 0960 Section 1.6 Notes CHAPTER 1: REAL NUMBERS Section 1.6: Addition of Real Numbers Topics: A. Add real numbers. B. Add fractions. C. Identify opposites. D. Add using absolute values. E. Solve application problems. A. Add real numbers. What does a problem look like? Example: Add. ( ) ( ) Answer: What do I need to know? o Visualize a number line. Negative numbers will move your sum to the left (make it smaller) and positive numbers move it to the right (make it larger). o The key is noticing how the sign of the number affects the sum. B. Add fractions. Example: Add. ( ) Answer: C. Identify opposites. What does a problem look like? Examples: Determine the opposite of each number. (a) Answer: 10 (b) Answer: What do I need to know? Two numbers are opposites if they add to zero (same absolute value, opposite sign). Page 1 of 2 MATH 0960 Section 1.6 Notes D. Add using absolute values. If the signs are the same, add the absolute value of each number and use the common sign. If the signs are different, subtract the absolute values and use the sign of the number with the greater absolute value. E. Solve application problems. Example: A team is 109 ft. below sea level but ascends a 300 ft. climb. What is their altitude at the end of the climb? Page 2 of 2