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Statements that are true for any number of variables. Identity Properties. 1) Additive Identity. What do you add to get the same?
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Statements that are true for any number of variables.
1) Reflexive: a = a **5 = 5
a + b = b + a a • b = b • a Examples 4 + 5 = 5 + 4 2 • 3 = 3 • 2
(a + b) + c = a + (b + c) (ab) c = a (bc) Examples (1 + 2) + 3 = 1 + (2 + 3) (2 • 3) • 4 = 2 • (3 • 4)
a. 6 + (2 + 7) = (6 + 2) + 7 b. 15 10 = 10 15 c. 4 1 = 4 d. 4(6 + 8) = 4(6) + 4(8) e. a + 0 = a f. 1 (3 4)=(1 3) 4 g. yz = zy h. 5 + 4 = 4 + 5 i. 62 = 9(4) j. 5 + 4 = 5 + 4 k. 2.5 = 1.5 + 1 and 1.5+1 = 2.