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Lesson 2-1 Algebra: Addition Properties and Subtraction Rules 1. Identify the property shown by 2 + 0 = 2. 0 is added to the number 2 and the sum is 2. This is the Identity Property of Addition. 2. Find 13 + 15 + 17. You can use the Commutative Property and the Associative Property to add mentally. 13 + 15 + 17 13 + 17 + 15 Commutative Property (13 + 17) + 15 Associative Property (30) + 15 Add. 45 Add. So, the sum is 45. 3. Find the missing number in 9 – = 9. When you subtract 0 from 9, the result is 9. So, the missing number is 0.