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5.1 Monomials Monomial Standard Notation Scientific Notation

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Definition of a Monomial Monomial are one term algebraic expression. A term is an coefficient times a variable to a power. 7x 3 The coefficient is 7 The variable is x The power is 3 Monomial powers are never fractions or negative. Monomial will never a variable as a denominator.

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Negative exponents If you remember how to multiply variables, then learning about negative is easier. When you multiply like variables you add their exponents

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Negative exponents When you divide like variables you subtract their exponents

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Negative exponents When you divide like variables you subtract their exponents

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Simplify with only positive exponents

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Properties of Powers Power of Power Power of Product Power of Fractions

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Simplify with only positive exponents

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Scientific Notation A way to express really big or small number in terms of a power of ten. Scientific Notation needs to have one number in front of the decimal. 3,120,000 would become 3.12 X 10 6 0.00000451 would become 4.51 X 10 -6

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Write Standard Notation in Scientific Notation 4,560,000 0.000092

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You can multiply with scientific notation (3 X 10 4 )(5 X 10 5 ) = (3X5)(10 4 X10 5 ) = 15 x 10 9 = 1.5 x 10 x 10 9 = 1.5 x 10 10

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You can multiply with scientific notation (1.8 x 10 -4 )(4 x 10 7 ) =

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Division of scientific notation

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Now something from the 70’s The power of TEN http://www.youtube.com/watch?v=0fKBhvDjuy0

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Homework Page 226 – 228 # 19 – 59 odd 64,65, 80 – 84 even

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Homework Page 226 – 228 # 18 – 60 even 79, 81, 83

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Multiplying With Scientific Notation (3.8 102) (5 104) = 1.) Change the order of the factors. 2.) Multiply and use the rules for exponents 3.) Make.

Multiplying With Scientific Notation (3.8 102) (5 104) = 1.) Change the order of the factors. 2.) Multiply and use the rules for exponents 3.) Make.

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