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# Test 3 Review

### Exponents, Properties, Order of Operations

TermDefinition
Multiplying Exponents When multiplying exponents with the same base, keep the base and add the exponents.
Dividing Exponents When dividing exponents with the same base, keep the base and subtract the exponents
Any number (except 0) raised to the 0 power 1
0 raised to the 0 power undefined
Raising a Power to a Power keep the base and multiply the exponents
Negative Bases A negative base raised to an even power is positive. A negative base raised to an odd power is negative.
Negative Exponents turns into a fraction - 1/the same base raised to the positive exponent.
Commutative Property Change the order - works only for addition and multiplication
Associative Property Switch the groups (parentheses) - works only for addition and multiplication
Additive Identity Element 0
Additive Identity Property any number + 0 = itself
Multiplicative Identity Element 1
Multiplicative Identity Property any number x 1 = itself
Additive Inverse the opposite of a number. When you add a number to its additive inverse, you get 0. For example, -2 and 2 are additive inverses because -2 + 2 = 0
Multiplicative Inverse the reciprocal of a number. When you multiply a number by its multiplicative inverse, you get 1. For example, 1/3 and 3/1 are multiplicative inverses because 1/3 x 3/1 = 1
Distributive Property To multiply a sum by a number, multiply each addend of the sum by the number outside the parentheses. For example, 2(5 + 3)=(2 x 5) + (2 x 3) and 2(5 - 3) = (2 x 5) - (2 x 3)
Factored Form an expression written as product of two factors. For example, 4(2x + 1) is the factored form of 8x + 4
Order of Operations P - parentheses E - exponents M/D - multiplication and division (whichever comes first) A/S - addition and subtraction (whichever comes first)
Created by: Math7