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Notes addend- one of the numbers in an addition problem ex. 1 + 2 = 3 1 and 2 are the addends in the problem subtrahend- in subtraction, the number being subtracted from a given number ex. 82 - 48 = 34 48 is the subtrahend of the problem factor- one of the numbers in a multiplication problem ex. 4 x 5 = 20 4 and 5 are factors of 20 multiple- the product of a given whole number and any other number ex. 10 x 3 = 30 30 is a multiple of 10 commutative property- changing the order of addends or factors does not change the sum or product ex. 9 + 3 = 12 and 3 + 9 = 12 5 x 3 = 15 and 3 x 5 = 15 associative property- changing the grouping of addends or factors does not change the sum or product (always do operations in parentheses first) ex. 3 + (7 + 8) = 18 and (3 + 7) + 8 = 18 5 x (1 x 3) = 15 and (5 x 1) x 3 = 15 distributive property- multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products ex. 3 x (2 + 4) = 18 and (3 x 2) + (3 x 4) = 18