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

Why are significant figures not important in your math class? Chapter 1

Perform the following calculations to the correct number of significant figures

Perform the following calculations to the correct number of significant figures

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 Speed of Light 300,000,000 m/s 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

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