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Lesson 1

# Lesson 1 - where represents the base multiplied by itself...

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Lesson 1 Factors: - any numbers or symbols that form a product Commutative and Associative Properties: - order and grouping do not matter when adding or multiplying Identities: - values that produce no change; zero is the additive identity; one is the multiplicative identity You can ALWAYS add zero (important when completing the square); you can always multiply by one (important when working with fractional expressions) Distributive property (covered in section 1.3) Absolute value: - the distance between the number and the origin on a number line; denoted symbolically by | |, where is a real number; since | | represents distance, | | must be nonnegative; | | or | | represents the distance between two points on a number line; the order does not matter Order of operation: - PEMDAS (parentheses, exponents, multiply, divide, add, subtract) Exponential Notation: Where is the base and is the exponent or power When the exponent is a positive integer, exponential

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notation is a concise way of writing the product of repeated factors,
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Unformatted text preview: where represents the base multiplied by itself times ( times; has factors). Product Rule for Exponents: when common bases are multiplied, the exponents are added Quotient Rule for Exponents: when common bases are divided, the exponents are subtracted (exponent in numerator minus exponent in denominator) Power Rule for Exponents: when a base is raised to a power and then raised to another power, the exponents are multiplied Product to a Power Rule: when a product is raised to a power, the exponent is distributed to each factor Quotient to a Power Rule: when a quotient is raised to a power, the exponent is distributed to each factor in the numerator and denominator Negative Exponent Rule: to change the sign of an exponent, take the reciprocal of the base; if a quantity has a negative exponent, take the reciprocal of the entire quantity; keep in mind that the sign of the base DOES NOT change...
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Lesson 1 - where represents the base multiplied by itself...

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