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SCIENTIFIC NOTATIONThe smallest distance between Earth
and Mars is about 58 million kilometers.
OR58,000,000 km
OR5.8 x 107 km
DecimalNotation
ScientificNotation
SCIENTIFIC NOTATION
OR0.00095 m
OR9.5 x 10
– 4 m
Decimal Notation
Scientific Notation
The thickness of ahuman hair is about
95 hundred-thousandths of a meter.
SCIENTIFIC NOTATION
CONVERT THE FOLLOWING TO DECIMAL NOTATION:
4.56 x 104 =
3.015 x 10- 6 =
9.13 x 100 =
4.1 x 10- 2 =
45,600
0.000003015
9.13
.041
IF THE POWER OF TEN IS POSITIVE, MOVE DECIMAL RIGHT.
IF THE POWER OF TEN IS NEGATIVE, MOVE DECIMAL LEFT.
(Move decimal 4 places right)
(Move decimal 6 places left)
(Move decimal 2 places left)
(Do not move the decimal)
WHEN CHANGING FROM S.N. TO DECIMAL FORM:
SCIENTIFIC NOTATION
CONVERT THE FOLLOWING TO SCIENTIFIC NOTATION:
3.33 x 105
7.02 x 10- 4
3.14 x 100
5.8 x 10- 1
333,000 =
0.000702 =
3.14 =
0.58 =
Move decimal to a position so that there is only one non-zero number to the left of the decimal point.
WHEN CHANGING TO SCIENTIFIC NOTATION:
SCIENTIFIC NOTATION
CONVERT THE FOLLOWING TO SCIENTIFIC NOTATION:
3.33 x 105
7.02 x 10- 4
3.14 x 100
5.8 x 10- 1
333,000 =
0.000702 =
3.14 =
0.58 =
DECIMAL NUMBER > 10 … POWER OF TEN IS POSITIVE
DECIMAL NUMBER BETWEEN 1 & 10 … POWER OF TEN IS ZERO
DECIMAL NUMBER < 1 … POWER OF TEN IS NEGATIVE
WHEN CHANGING TO SCIENTIFIC NOTATION:
SCIENTIFIC NOTATION
MULTIPLICATION IN SCIENTIFIC NOTATION:
(3 x 104)(2 x 107) =
(5 x 106)(7 x 1020) =
= 6 x 1011
35 x 1026 = 3.5 x 1027
IF YOU MOVE THE DECIMAL TO THE LEFT, IT INCREASESTHE 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
?
(3•2) x (104•107)
?
POLYNOMIALSA 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)
POLYNOMIALSMONOMIALS
BINOMIALS
TRINOMIALS
3, -2, 1, x, a, d, 7xy, -2a2b3, abc5
x + y, a – 2b, – 3m + 2n, 9x2 – 1,
x + y + z, a – 2b + 5c, – m2 + 2m – 3
POLYNOMIALSDEGREE OF A MONOMIAL
DEGREE OF A POLYNOMIAL
The degree of 4x2y is 3
The sum of the exponents of all its variables.
The greatest degree of any term in the polynomial
The degree of 5x2y2 + 3x2y – 7 is 4
The degree of a constant (such as 5) is 0
POLYNOMIALSARRANGING 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
– 4x3 + x2y+ 3xy2 + 6y
POLYNOMIALSFLASH CARDS
Monomial, Binomial, Trinomial, or None of These
2x + 3y
BINOMIAL
POLYNOMIALSFLASH CARDS
Monomial, Binomial, Trinomial, or None of These
-17x2y3
MONOMIAL
POLYNOMIALSFLASH CARDS
Monomial, Binomial, Trinomial, or None of These
x – y + z
TRINOMIAL
POLYNOMIALSFLASH CARDS
Monomial, Binomial, Trinomial, or None of These
–3a2 + 2b – 8c3
TRINOMIAL
POLYNOMIALSFLASH CARDS
Monomial, Binomial, Trinomial, or None of These
17m2 + 7pqr
BINOMIAL
POLYNOMIALSFLASH CARDS
What is the degree of…
42m2 + 2xyz
3
POLYNOMIALSFLASH CARDS
What is the degree of…
-7x2yz
4
POLYNOMIALSFLASH CARDS
What is the degree of…
-7x2y+ 2x3y2 – 7
5
POLYNOMIALSFLASH CARDS
What is the degree of…
x
1
POLYNOMIALSFLASH CARDS
What is the degree of…
107
0
POLYNOMIALSFLASH CARDS
What is the degree of…
z – x + y + z
1
End