Transcript Web_8-3_and_8

SCIENTIFIC NOTATION
The smallest distance between Earth
and Mars is about 58 million kilometers.
Decimal
OR
Notation  58,000,000 km
Scientific
Notation 
OR
5.8 x 107 km
SCIENTIFIC NOTATION
The thickness of a
human hair is about
95 hundred-thousandths
of a meter.
OR
0.00095 m
OR
9.5 x 10 – 4 m
 Decimal Notation
 Scientific Notation
SCIENTIFIC NOTATION
CONVERT THE FOLLOWING TO DECIMAL NOTATION:
4.56 x 104 =
45,600
3.015 x 10- 6 =
(Move decimal 4 places right)
0.000003015
9.13 x 100 =
9.13
4.1 x 10- 2 =
.041
(Move decimal 6 places left)
(Do not move the decimal)
(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.
SCIENTIFIC NOTATION
CONVERT THE FOLLOWING TO SCIENTIFIC NOTATION:
333,000 = 3.33 x 105
0.000702 = 7.02 x 10- 4
3.14 = 3.14 x 100
0.58 = 5.8 x 10- 1
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.
SCIENTIFIC NOTATION
CONVERT THE FOLLOWING TO SCIENTIFIC NOTATION:
333,000 = 3.33 x 105
0.000702 = 7.02 x 10- 4
3.14 = 3.14 x 100
0.58 = 5.8 x 10- 1
WHEN CHANGING TO SCIENTIFIC NOTATION:
DECIMAL NUMBER > 10 … POWER OF TEN IS POSITIVE
DECIMAL NUMBER < 1 … POWER OF TEN IS NEGATIVE
DECIMAL NUMBER BETWEEN 1 & 10 … POWER OF TEN IS ZERO
SCIENTIFIC NOTATION
MULTIPLICATION IN SCIENTIFIC NOTATION:
(3 x 104)(2 x 107) = (3•2) x (104•107) = 6 x 1011
(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.
? 7.2 x 10- 6
(8 x 10- 12)(9 x 105) = 72 x 10-7 =
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)
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
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
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
Powers of x
1
3
2
0
POLYNOMIALS
FLASH CARDS
Monomial, Binomial, Trinomial, or None of These
2x + 3y
BINOMIAL
POLYNOMIALS
FLASH CARDS
Monomial, Binomial, Trinomial, or None of These
2
3
-17x y
MONOMIAL
POLYNOMIALS
FLASH CARDS
Monomial, Binomial, Trinomial, or None of These
x–y+z
TRINOMIAL
POLYNOMIALS
FLASH CARDS
Monomial, Binomial, Trinomial, or None of These
2
–3a
+ 2b –
TRINOMIAL
3
8c
POLYNOMIALS
FLASH CARDS
Monomial, Binomial, Trinomial, or None of These
2
17m
+ 7pqr
BINOMIAL
POLYNOMIALS
FLASH CARDS
What is the degree of…
2
42m
+ 2xyz
3
POLYNOMIALS
FLASH CARDS
What is the degree of…
2
-7x yz
4
POLYNOMIALS
FLASH CARDS
What is the degree of…
2
-7x y+
3
2
2x y
5
–7
POLYNOMIALS
FLASH CARDS
What is the degree of…
x
1
POLYNOMIALS
FLASH CARDS
What is the degree of…
107
0
POLYNOMIALS
FLASH CARDS
What is the degree of…
z–x+y+z
1
End