SCIENTIFIC NOTATION The smallest distance between Earth and Mars is about 58 million kilometers. OR...
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Transcript of SCIENTIFIC NOTATION The smallest distance between Earth and Mars is about 58 million kilometers. OR...
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