Exponents, Properties, Order of Operations
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Multiplying Exponents | When multiplying exponents with the same base, keep the base and add the exponents.
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| Dividing Exponents | When dividing exponents with the same base, keep the base and subtract the exponents
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| Any number (except 0) raised to the 0 power | 1
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| 0 raised to the 0 power | undefined
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| Raising a Power to a Power | keep the base and multiply the exponents
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| Negative Bases | A negative base raised to an even power is positive. A negative base raised to an odd power is negative.
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| Negative Exponents | turns into a fraction - 1/the same base raised to the positive exponent.
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| Commutative Property | Change the order - works only for addition and multiplication
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| Associative Property | Switch the groups (parentheses) - works only for addition and multiplication
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| Additive Identity Element | 0
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| Additive Identity Property | any number + 0 = itself
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| Multiplicative Identity Element | 1
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| Multiplicative Identity Property | any number x 1 = itself
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| 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
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| 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
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| 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)
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| Factored Form | an expression written as product of two factors. For example, 4(2x + 1) is the factored form of 8x + 4
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| 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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Created by:
Math7
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