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