Additive Inverses are 2 opposite integers. One positive and one negative Ex: ‐2 and 2 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 Additive Inverse Property ‐ The sum of any number and its additive inverse is 0. Ex: ‐2 + 2 = 0 ‐7 + 7 = 0 1 Adding Integers with the same sign • The sum of two positive integers is positive • the sum of two negative integers is negative 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 2 Adding Integers with different signs: To add integers with different signs, subtract the absolute value: • The sum is positive if the positive number has a larger absolute value • The number is negative if the negative integer has a greater absolute value w = ‐40 + 15 /‐40/ > /15/ ‐ so the sum is negative 40 ‐ 15 = 25 The answer is ‐25. 3 Evaluate: ‐13 + a = if a = 28 ‐13 + 28 = n /‐13/ < /28/ so the answer will be positive 28 ‐ 13 = 15 the answer is 15 4 5 6 7 8 9
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