CONCEPT CHECK Match the item in Column I with the correct choice(s) from Column II. Choices may be used once, more than once, or not at all.
I | II |
(a) Identity element for addition | A. (5 ⋅ 4) ⋅ 3 = 5 ⋅ (4 ⋅ 3) |
(b) Identity element for multiplication | B. 0 |
(c) Additive inverse of a | C. –a |
(d) Multiplicative inverse, or reciprocal, of the nonzero number a | D. −1 |
(e) The number that is its own additive inverse | E. 5 ⋅ 4 ⋅ 3 = 60 |
(f) The two numbers that are their own multiplicative inverses | F. 1 |
(g) The only number that has no multiplicative inverse | G. (5 ⋅ 4) ⋅ 3 = 3 ⋅ (5 ⋅ 4) |
(h) An example of the associative property | H. 5(4 + 3) = 5 ⋅ 4 + 5 ⋅ 3 |
(i) An example of the commutative property | I. |
(j) An example of the distributive property |
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