4.2b SKM & PP 1 Exponents: Scientific Notation

4.2b SKM & PP 2 Think about this?

4.2b SKM & PP 3 How about this?

4.2b SKM & PP 4 Exponents: Scientific Notation Scientific Notation is useful when writing: or

4.2b SKM & PP 5 Convert 5,000,000 to Scientific Notation a x 10 n, 1 < a < 10 5,000,000 Decimal Form 5 x 10 6 Scientific Notation Form

4.2b SKM & PP 6 Convert 32,000 to Scientific Notation a x 10 n, 1 < a < 10 32,000 Decimal Form 3.2 x 10 4 Scientific Notation Form

4.2b SKM & PP 7 Convert 5,403 to Scientific Notation a x 10 n, 1 < a < 10 5,403 Decimal Form x 10 3 Scientific Notation Form

4.2b SKM & PP 8 Convert.05 to Scientific Notation a x 10 n, 1 < a < Decimal Form 5 x Scientific Notation Form

4.2b SKM & PP 9 Convert to Scientific Notation a x 10 n, 1 < a < Decimal Form 8.2 x Scientific Notation Form

4.2b SKM & PP 10 Scientific Notation: Problem Summary Decimal ( Floating ) Scientific Notation 5,000,0005 x , x , x x x 10 -6

4.2b SKM & PP 11 How to enter a Number in Scientific Notation on the Calculator EE EXP Most scientific calculators have one of these keys. Here’s how to enter 3.2 x EE 4 Enter exponent

4.2b SKM & PP 12 A Particle of Dust? 7.53 x kg kg. is the mass of a dust particle!

4.2b SKM & PP 13 Too Fast to See? 3.00 x 10 8 m/sec 300,000,000 m/sec is the speed of light!

4.2b SKM & PP 14 Earth Facts from NASA Average Distance from the Sun x 10 8 km Perihelion (closest) x 10 8 km Aphelion (farthest) x 10 8 km Equatorial Radius x 10 3 km Mass x kg Surface Area x 10 8 km2 Equatorial Surface Gravity m/s 2

4.2b SKM & PP 15 A few problems? Write in scientific notation: ,000,000, = x 10 2 = 4.67 x = 2.36 x 10 11

4.2b SKM & PP 16 Let’s go the other way! Write in decimal notation: 3.4 x x 10 6 = 5,100,000 = x = 0.005

4.2b SKM & PP 17 How about Multiplication? Multiply. Be sure to write the answer in Scientific Notation: (3.0 x )(5.1 x 10 6 ) =(3.0)(5.1) =15.3 x 10 4 =153,000 =1.53 x 10 5

4.2b SKM & PP 18 That’s All for Now!