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UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Properties of Real Numbers (Algebra 1.1) 1. Which property is illustrated by the equation ax + ay = a(x + y) (A) distributive (B) commutative (C) identity (D) associative UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Properties of Real Numbers (Algebra 1.1) 1. Which property is illustrated by the equation ax + ay = a(x + y) (A) distributive (B) commutative (C) identity (D) associative The distributive property of multiplication over addition is simply this: It makes no difference whether you add two or more terms together first, and then multiply the results by a factor, a(x + y) or whether you multiply each term alone by the factor first, and then add up the results, ax + ay UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Properties of Real Numbers (Algebra 1.1) 1. Which property is illustrated by the equation ax + ay = a(x + y) (A) distributive (B) commutative (C) identity (D) associative The correct answer is, the distributive property. UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Properties of Real Numbers (Algebra 1.1) 2. Which statement best illustrates the additive identity property? (A) 6 + (-6) = 0 (B) 6 + 0 = 6 (C) 6(2) = 2(6) (D) 6 + 2 = 2 + 6 UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Properties of Real Numbers (Algebra 1.1) 2. Which statement best illustrates the additive identity property? The additive identity property states that you can add 0 to any number and it keeps its identity – it stays the same. (A) 6 + (-6) = 0 This is best illustrated by answer (B), in which 0 is added to 6, and the sum is (still) 6! (B) 6 + 0 = 6 (C) 6(2) = 2(6) (D) 6 + 2 = 2 + 6