1. 4.2b SKM & PP 1 Exponents: Scientific Notation

2. 4.2b SKM & PP 2 Think about this?

3. 4.2b SKM & PP 3 How about this?

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

5. 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

6. 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

7. 4.2b SKM & PP 7 Convert 5,403 to Scientific Notation a x 10 n, 1 < a < 10 5,403 Decimal Form 5.403 x 10 3 Scientific Notation Form

8. 4.2b SKM & PP 8 Convert.05 to Scientific Notation a x 10 n, 1 < a < 10.05 Decimal Form 5 x 10 -2 Scientific Notation Form

9. 4.2b SKM & PP 9 Convert 0.0000082 to Scientific Notation a x 10 n, 1 < a < 10 0.0000082 Decimal Form 8.2 x 10 -6 Scientific Notation Form

10. 4.2b SKM & PP 10 Scientific Notation: Problem Summary Decimal ( Floating ) Scientific Notation 5,000,0005 x 10 6 32,0003.2 x 10 4 5,4035.403 x 10 3.055 x 10 -2 0.00000828.2 x 10 -6

11. 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 10 4 3.2 EE 4 Enter exponent

12. 4.2b SKM & PP 12 A Particle of Dust? 7.53 x 10 -10 kg 0.000 000 000 753 kg. is the mass of a dust particle!

13. 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!

14. 4.2b SKM & PP 14 Earth Facts from NASA Average Distance from the Sun 1.4959789 x 10 8 km Perihelion (closest) 1.471 x 10 8 km Aphelion (farthest) 1.521 x 10 8 km Equatorial Radius 6.37814 x 10 3 km Mass 5.9737 x 10 24 kg Surface Area 5.100657 x 10 8 km2 Equatorial Surface Gravity 9.766 m/s 2

15. 4.2b SKM & PP 15 A few problems? Write in scientific notation: 0.00000467 236,000,000,000 893.7 = 8.937 x 10 2 = 4.67 x 10 -6 = 2.36 x 10 11

16. 4.2b SKM & PP 16 Let’s go the other way! Write in decimal notation: 3.4 x 10 -2 5.1 x 10 6 = 5,100,000 = 0.034 5 x 10 -3 = 0.005

17. 4.2b SKM & PP 17 How about Multiplication? Multiply. Be sure to write the answer in Scientific Notation: (3.0 x 10 -2 )(5.1 x 10 6 ) =(3.0)(5.1)10 -2+6 =15.3 x 10 4 =153,000 =1.53 x 10 5

18. 4.2b SKM & PP 18 That’s All for Now!