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Math Properties

By Anthony Chow, Fermin Bautista, Shawn StoDomingo. For Mrs. Castro Algebra 1 Class.

Anthony Chow

on 12 October 2012

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Transcript of Math Properties

Math Properties Associative Property Associative Property of Addition Examples: (x + y) + z = x + (y + z) (1 + 2) + 3 = 1 + (2 + 3) Words: Just think of it as just moving or switching the place of the parenthesis without changing or moving the integers. Associative Property of Multiplication Examples: x (yz) = (xy) z 1 (2 * 3) = (1 * 2) 3 Its the same deal with multiplication, just switch the parentheses and the answer will always stay the same. Commutative Property Commutative Property of Addition Example: 1 + 2 = 2 + 1 a + b = b + a Words: You are switching the order of the number without changing the sum. This only works with addition and multiplication. In this case, it is addition Commutative Property of Multiplication Example: a * b = b * a 1 * 2 = 2 * 1 Words: Like before, you switch the order of the numbers without changing the sum or product. In this case, it is multiplication. Inverse Property Inverse Property of Addition Example: a + -a = 0 2 + -2 = 0 Words: For addition, you find the opposite of the number for example, the opposite of 1 is -1. The answer would always be 0. Words: Inverse Property of Multiplication Example: 2 * 1/2 = 1 a * 1/a = 1 Words: Multiplication is different because now you have to use fractions. you find the reciprocal of the number/fraction. Like the reciprocal of 2 is 1/2 or one half. For fractions it's vise versa. Distributive Property Example: 3 ( 2 + 1 ) = 6 + 3 Words: You think of it like a rainbow. you multiply the outside number by each number inside the parenthesis. If the number is just a minus sign, then just make it a -1. Identity property Identity Property of Addition Example: 1 + 0 = 1 Word: You just add by 0 because you always equals the same number Identity Property of Multiplication Example: 10 * 1 = 10 Words: You multiply any number by 1 to equal the same number. Property of Zero Example: 99999 * 0 = 0 Words: You just multiply any number by 0 to get 0
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