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Distributive Property The Distributive Property of multiplication is the property that states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. The Distributive Property says that if a, b and c are real numbers, then a(b + c) = (a x b) + (a x c) Addend • An Addend is a number that is added to another number. • 2 + 3 = 5 Real Numbers • Real Numbers are all irrational and rational numbers. Real numbers are the Umbrella that other numbers fall inside of. Irrational Numbers • Any real number that is not a rational number and not an imaginary number. An example of an irrational number is the square root of 2 because it cannot be written as a ratio of two integers. Pi is also an irrational number. Rational Numbers • Rational Numbers are numbers that can be written as a ratio of two integers. A fraction containing a numerator and denominator that are integers. Every integer is a rational number. It comes from the word ratio. Examples of Distributive property 36 + 8 = 44 Step 1 Step 2 Answer 4 (9 + 2) = (4 x 9) + (4 x 2) = 36 + 8 = 44 Practice 1) 7 (8 + 3) 2) 3 ( 6 + 9) Are these equal? 3) 55 + 10 = 11 (5 + 0) = 4) 27 + 3 = 9 (3 + 1) =