SCIENTIFIC NOTATION

1
SCIENTIFIC NOTATION
The smallest distance between Earth and Mars is
about 58 million kilometers.
OR 58,000,000 km
OR 5.8 x 107 km
2
SCIENTIFIC NOTATION
OR 0.00095 m
? Decimal Notation
OR 9.5 x 10 4 m
? Scientific Notation
3
SCIENTIFIC NOTATION
CONVERT THE FOLLOWING TO DECIMAL NOTATION
4.56 x 104
45,600
3.015 x 10- 6
0.000003015
(Move decimal 6 places left)
9.13 x 100
9.13
(Do not move the decimal)
4.1 x 10- 2
.041
(Move decimal 2 places left)
WHEN CHANGING FROM S.N. TO DECIMAL FORM
IF THE POWER OF TEN IS POSITIVE, MOVE DECIMAL
RIGHT.
IF THE POWER OF TEN IS NEGATIVE, MOVE DECIMAL
LEFT.
4
SCIENTIFIC NOTATION
CONVERT THE FOLLOWING TO SCIENTIFIC NOTATION
3.33 x 105
333,000
7.02 x 10- 4
0.000702
3.14 x 100
3.14
5.8 x 10- 1
0.58
WHEN CHANGING TO SCIENTIFIC NOTATION
Move decimal to a position so that there is only
one non-zero number to the left of the decimal
point.
5
SCIENTIFIC NOTATION
CONVERT THE FOLLOWING TO SCIENTIFIC NOTATION
3.33 x 105
333,000
7.02 x 10- 4
0.000702
3.14 x 100
3.14
5.8 x 10- 1
0.58
WHEN CHANGING TO SCIENTIFIC NOTATION
DECIMAL NUMBER gt 10 POWER OF TEN IS POSITIVE
DECIMAL NUMBER lt 1 POWER OF TEN IS NEGATIVE
DECIMAL NUMBER BETWEEN 1 10 POWER OF TEN IS
ZERO
6
SCIENTIFIC NOTATION
MULTIPLICATION IN SCIENTIFIC NOTATION
(3 x 104)(2 x 107)
6 x 1011
(32) x (104107)
?
(5 x 106)(7 x 1020)
35 x 1026
3.5 x 1027
IF YOU MOVE THE DECIMAL TO THE LEFT, IT
INCREASES THE POWER OF TEN BY THE NUMBER OF
PLACES MOVED.
?
(8 x 10- 12)(9 x 105)
72 x 10-7
7.2 x 10- 6
7
POLYNOMIALS
A POLYNOMIAL is a monomial or a sum (or
differences) of monomials.
A BINOMIAL is a polynomial with two terms. (or
the sum of two monomials)
A TRINOMIAL is a polynomial with three terms. (or
the sum of three monomials)
8
POLYNOMIALS
MONOMIALS
3, -2, 1,
x, a, d,
7xy, -2a2b3, abc5
BINOMIALS
x y,
a 2b,
3m 2n,
9x2 1,
TRINOMIALS
x y z,
a 2b 5c,
m2 2m 3
9
POLYNOMIALS
DEGREE OF A MONOMIAL
The sum of the exponents of all its variables.
DEGREE OF A POLYNOMIAL
The greatest degree of any term in the polynomial
The degree of 4x2y is 3
The degree of 5x2y2 3x2y 7 is 4
The degree of a constant (such as 5) is 0
10
POLYNOMIALS
ARRANGING IN DESCENDING/ASCENDING ORDER
Arrange 3xy2 4x3 x2y 6y so that the powers
of x are in descending order.
3xy2 4x3 x2y 6y
4x3
x2y
3xy2
6y
1
3
2
0
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POLYNOMIALS
FLASH CARDS
Monomial, Binomial, Trinomial, or None of These
2x 3y
BINOMIAL
12
POLYNOMIALS
FLASH CARDS
Monomial, Binomial, Trinomial, or None of These
-17x2y3
MONOMIAL
13
POLYNOMIALS
FLASH CARDS
Monomial, Binomial, Trinomial, or None of These
x y z
TRINOMIAL
14
POLYNOMIALS
FLASH CARDS
Monomial, Binomial, Trinomial, or None of These
3a2 2b 8c3
TRINOMIAL
15
POLYNOMIALS
FLASH CARDS
Monomial, Binomial, Trinomial, or None of These
17m2 7pqr
BINOMIAL
16
POLYNOMIALS
FLASH CARDS
What is the degree of
42m2 2xyz
3
17
POLYNOMIALS
FLASH CARDS
What is the degree of
-7x2yz
4
18
POLYNOMIALS
FLASH CARDS
What is the degree of
-7x2y 2x3y2 7
5
19
POLYNOMIALS
FLASH CARDS
What is the degree of
x
1
20
POLYNOMIALS
FLASH CARDS
What is the degree of
107
0
21
POLYNOMIALS
FLASH CARDS
What is the degree of
z x y z
1
End