Exponents 8 th Grade Pre-Algebra. Real Numbers Rational Numbers: Any number that can be written as a fraction Integers Positive and negative whole numbers.

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Presentation transcript:

Exponents 8 th Grade Pre-Algebra

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

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

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?

Identify as rational or irrational 1. 5 π π

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

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.

Examples Rewrite the following problems using exponents x x 12 x x 4 x 4 x x 9 x x 5 x 5 x 5 x 5 6.

Calculator Time Use a calculator to figure what product each number with an exponent represents. 1. (-8) 3 6. (-10)

Think backwards Express each of the following numbers as a base with an exponent

Simplify

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.

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

Challenge Write (3 2 ) 3.

HW Textbook p. 86 (14-26)