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Test 3 Review
Exponents, Properties, Order of Operations
| Term | Definition |
|---|---|
| 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) |
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Math7
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