tuesday 9/16/14 learning target: know how to use and convert numbers into scientific notation....

Tuesday 9/16/14

Learning Target:Know how to use and convert

numbers into scientific notation.Learning Outcome:

I will be able to use scientific notation in problems and convert standard notation into scientific notation.

Chapter 1 1

Why are significant figures not important in your math class?

Chapter 1 2

Perform the following calculations to the correct number of significant figures

4555.30015.45120.010.1 a)

33.4526755.45299870.3562.4 c)

02.855.084.14 d)

b) 0.355 + 105.1 - 100.5820 =

Perform the following calculations to the correct number of significant figures

652.04555.30015.45120.010.1 a)

80.52799.5233.4526755.45299870.3562.4 c)

14.0142.002.855.084.14 d)

b) 0.355 + 105.1 - 100.5820 = 4.8739 = 4.9

What is scientific notation?

A method used in science to represent really large of really small numbers.

Used to show significant figures with ambiguous numbers (large numbers without decimal points)

Numbers in Chemistry

Avogadro’s Number 602,000,000,000,000,000,000,000 atoms/mol

Planck's Number 0.000000000000000000000000000000000662 J/s

Speed of Light 300,000,000 m/s

Wavelength of red light .000000750 m

Positive Exponents

101 = 10 102 = 10X10= 100 103 = 10X10X10 = 1000 104 = 10X10X10X10 = 10,000

Negative Exponents

10-1 = 1/10 = 0.1 10-2 = 1/100 = 0.01 10-3 = 1/1000 = 0.001 10-4 = 1/10000 = 0.0001

Scientific Notation

10,000 = 1 X 104

250,000 = 2.5 X 105

Count places to the left until there is one number to the left of the decimal point.

230,000 = ?

35,000 = ?

Scientific Notation Continued 0.00006 = 6 X 10-5

0.00045 = 4.5 X 10-4

Count places to the right until there is one number to the left of the decimal point

0.003 = ?

0.0030 = ?

0.0000025 = ?

Convert the following numbers into scientific notation

45.01 0.00671 5,712,100

Convert the following numbers into scientific notation

45.01 = 4.501 x 101

0.00671 = 6.71 x 10-3

5,712,100 = 5.7121 x 106

Convert the following numbers into standard notation:

9.11 x 103

1.75 x 107

7.4 x 10-5

9 x 10-4

Convert the following numbers into standard notation:

9.11 x 103 = 9110 1.75 x 107 = 17,500,000 7.4 x 10-5 = 0.000074 9 x 10-4 = 0.0009

Multiplying with Scientific Notation

Add the Exponents

102 X 103 = 105

100 X 1000 = 100,000

Multiplying with Scientific Notation

(2.3 X 102)(3.3 X 103)

Multiply the Coefficients

2.3 X 3.3 = 7.59 = 7.6

Add the Exponents

102 X 103 = 105

Put them together, 7.6 X 105

760,000

Multiplying with Scientific Notation

(4.6 X 104) X (5.5 X 103) = ?

(3.1 X 103) X (4.2 X 105) = ?

(6.72 x 105) x (7.33 x 10-9)= ?

Multiplying with Scientific Notation

(4.6 X 104) X (5.5 X 103) = 2.5 x 108

(3.1 X 103) X (4.2 X 105) = 1.3 x 109

(6.72 x 105) x (7.33 x 10-9)= 4.93 x 10-3

Dividing with Scientific Notation

Subtract the Exponents

104/103 = 101

Dividing with Scientific Notation

(3.3 X 104)/ (2.3 X 102)

Divide the Coefficients

3.3/ 2.3 = 1.434783 = 1.4

Subtract the Exponents

104 / 102 = 102

1.4 X 102

140

Dividing with Scientific Notation

(4.6 X 106) ÷ (5.5 X 103) =

(3.1 X 108) ÷ (4.262 X 104) =

(6.72 x 105) ÷ (7.3 x 10-9)=

Dividing with Scientific Notation

(4.6 X 106) ÷ (5.5 X 103) = 8.4 x 102

(3.1 X 108) ÷ (4.262 X 104) = 7.3 x 103

(6.72 x 105) ÷ (7.3 x 10-9)= 9.2 x 1013