5.1 Monomials Monomial Standard Notation Scientific Notation.
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Transcript of 5.1 Monomials Monomial Standard Notation Scientific Notation.
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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.
7x3 The coefficient is 7The variable is xThe 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
85353 xxxxxxxxxxxx
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Negative exponents
When you divide like variables you subtract their exponents
23535 xxxxx
xxxxxxx
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Negative exponents
When you divide like variables you subtract their exponents
22
5353 1
x
xx
xxxxx
xxxxx
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Simplify with only positive exponents
43 52 abba
0;10
2
kk
k
25 yx
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Properties of Powers
Power of Power
Power of Product
Power of Fractions
2045555545 xxxxxxx
93333133333 babaabababab
6
21
32
37
2
7
2
7
2
73
2
7
y
x
y
x
y
x
y
x
y
x
y
x
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Simplify with only positive exponents
3523 dc
5
2
2
b
a
4
3
x
42b
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Simplify with only positive exponents
5
46
53
ba
ay
y
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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 106
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 104)(5 X 105) = (3X5)(104X105)
= 15 x 109
= 1.5 x 10 x 109
= 1.5 x 1010
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You can multiply with scientific notation
(1.8 x 10-4)(4 x 107) =
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Division of scientific notation
100.910100.9
109.0
10
10
3
7.2
103
107.2
21
2
4
6
4
6
XXX
X
XX
X
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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 odd64,65, 80 – 84 even
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Homework
Page 226 – 228# 18 – 60 even
79, 81, 83