# 5.1 Monomials Monomial Standard Notation Scientific Notation.

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5.1 Monomials Monomial Standard Notation Scientific Notation

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.

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

Negative exponents When you divide like variables you subtract their exponents

Negative exponents When you divide like variables you subtract their exponents

Simplify with only positive exponents

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

Simplify with only positive exponents

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

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

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

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

Division of scientific notation

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

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

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