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Exponents 8 th Grade Pre-Algebra

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Real Numbers Rational Numbers: Any number that can be written as a fraction Integers Positive and negative whole numbers and zero Irrational Numbers Any positive or negative nonrepeating or nonterminating decimal, such as ∏ or, that cannot be written as a fraction

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Real Numbers Included in the set of real numbers are positive and negative fractions, decimals, and rational and irrational numbers. Real Numbers Rational Numbers: Any number that can be written as a fraction Integers Positive and negative whole numbers and zero Irrational Numbers Any positive or negative nonrepeating or nonterminating decimal, such as ∏ or, that cannot be written as a fraction

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Identifying rational numbers Use your calculator to answer the following questions: 1. Find the square root of 7. Does it repeat? Does it end? Is it a rational or an irrational number? 2. Find. Is it rational or irrational? Is it an integer? 3. Is an integer an irrational number? 4. Is an integer a real number? 5. Is a real number? Is it rational or irrational?

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Identify as rational or irrational 1. 5 π 2. 3. 4. -7.2 5. 6. 7. 9 + π 8. 1.0004 9. 10. 11.

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Understanding Exponents Sometimes it is necessary to multiply a number times itself one or more times. There is a shorter way to write this type of muliplication. Ex. 7 x 7 x 7 x 7 x 7 can be written 7 5

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Properties of Exponents Any base number raised to the exponent of 1 equals the base number. Any base number raised to the exponent of 0 equals 1.

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Examples Rewrite the following problems using exponents. 1. 10 x 10 2. 12 x 12 x 12 3. 4 x 4 x 4 x 4 4. 9 x 9 x 9 5. 5 x 5 x 5 x 5 x 5 6.

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Calculator Time Use a calculator to figure what product each number with an exponent represents. 1. (-8) 3 6. (-10) 2 2. 12 2 7. 3 5 3. 20 1 8. 10 4 4. 5 4 9. 4 3 5. 15 0 10. 16 2

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Think backwards Express each of the following numbers as a base with an exponent. 1. 97. 1000 2. 168. 125 3. 279. 81 4. 3610. 81 5. 811. 64 6. 3212. 49

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Simplify 1. 2. 3. 4.

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Geometry Application The number of diagonals of an n-sided figure is. Use the formula to find the number of diagonals for a 5-sided figure.

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Geometry Application Use the formula to find the number of diagonals in a 7-sided figure.

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Challenge Write (3 2 ) 3.

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HW Textbook p. 86 (14-26)

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