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### 27 Cards in this Set

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 associative property property that states that when you add or multiply, you can group numbers in any combination base when a number is written in exponential form, the number that is used as a factor is the base commutative property property that states that when you add or multiply, you can do so in any order distributive property property that states that number times a sum equals the sum of the products of that number and each addend exponent a number that tells how many times to multiply the base by itself identity property property that states that the product of 1 and a number and the sum of 0 and a number is that number numerical expression an expression made up of numbers and operations order of operations the rules that must be followed when simplifying expressions power a number written as a base and an exponent scientific notation a type of shorthand for writing large numbers Commutative Property Add or multiply. You can group a + b= b + a the numbers in any order. k . m = m . k Associative Property When you add or multiply, you can group the numbers (p + s) + t = p + (s + t) (x.y).z = x.(y.z) (p + (s  t ) together in any combination. (x • y) • z  Identity Property The sum of 0 and any number is the number. The product of 1 and any number is the number. x + 0 = x x . 1 = x Distributive Property A multiplier outside the parentheses of another operation can be applied to each number inside the parentheses before the operation is performed. d(e+f)= d(e)+ d(f) addition property of equality you can add the same value to both sides of an equation and the statement will still be true algebraic expression an expression that consists of constants, variables, and operation coefficient the numerical factor in a term containing a variable constant a number in an expression that does not change division property of equality you can divide both sides by the same number and the statement will still be true equation a mathematical statement that says two expressions are equal in value evaluate substitute a number for a variable in an algebraic expression inverse operations operations that undo each other multiplication property of equality you can multiply both sides of an equation by the same number and the new equation will have the same solution solution the value of the variable that makes the statement true subtraction property of equality you can subtract the same number from both sides of the equation and the new equation will have the same solution term a number, variable, or a product of numbers and variables variable a number that is represented by a letter because its value can change or vary