1. U1D8: Scientific Notation: How to write very large and very small numbers Agenda: 1.Complete Al Foil Lab data collection (15 minutes) 2.Significant figure Review WS and Checkpoint 3.You will be able to write very large and very small numbers proficiently. 4.Review 1 Do Now: 1. Density Lab out: Complete Measures. 2. Complete Density Lab Do Now (turn over when done)

5. Aluminum Foil Lab Due Monday (Day 11)…Don’t Forget… People still owe Measurement Lab , Safety Lab and Sci Method Lab  5

6. What is the rule if….. 1.0.03 kg = 3 x 10 -2 kg 2.15 000 000 m = 1.5 x 10 7 m 3.435 000 L = 4.35 x 10 5 L 4.0. 000 000 973 g = 9.73 x 10 -7 g Rule: Pos exponent = large number Neg exponent = small number (less than 1) # btwn 1 and 10 (w/ approp sig fig) Base number = 10 6

7. Scientific Notation Scientists like to be ‘efficient’, and have an easier way to express those loooong numbers 7

8. Scientific Notation SCIENTIFIC NOTATION: Expressing a number as a multiple of a power of ten. Used to take looooong numbers and compress them so that they can be more easily calculated. 300 000 000 m/s  3 x 10 8 m/s 8

9. Handling Large Numbers Take the significant figures from the number, put them into the form N.NNN X 10 x x, – Place a decimal so the # is between 1 and 10 – “x” represents the number of decimal places moved Include ALL OF THE SIG FIGS! 9

10. . So… World Population: 7 042 000 000 people In sci notation: _____________________ Practice: Sci Notation 1.5400 2.9 076 000 3.100500 4.7 00Ō 000 10

11. What if you’re given Sci. Not.???? Put in decimal form.. 1.5.4 x 10 5 2.7.06 x 10 7 3.1.5 x 10 3 4.9.800 x 10 9 * remember rules of Sig Figs 11

12. Handling small numbers Sig figs written as a number between 1 and 10 Exponent is NEGATIVE x 10 –x (moved from the left) Practice: Sci Notation 1.0.00060 2.0.0304 3.0.000 000 000 15 4.0.000 070 040 12

13. Handling small numbers 0.0020 2.0 (must include the 0 because it is a sig fig) Count from the 2 back to the 0 in the one’s place…. Three places The 3 will be negative and we get… 2.0 x 10 -3 13

14. Converting to decimals Reverse procedure 8 x 10 -3 8 is 3 places from the ones place 0.008 Put in decimal form.. 1.1.7 x 10 -3 ________________________ 2.1.004 x 10 -5 _______________________ 3.17.0 x 10 -8 ________________________ 4.0.43 x 10 -9 ________________________ * remember rules of Sig Figs 14

15. Lets play; “Which number is larger?!” A: 2.0 x 10 2 or B: 2.0 x 10 -2 Positive exponents are larger than negative ones (they’re decimals!) A: 1.3 x 10 3 or B: 1.3 x 10 5 For positives, the bigger the exponent, the bigger the number A: 2.6 x 10 -1 or B: 2.6 x 10 -6 For negatives, the smaller the exponent, the larger the number 15

16. Right or Wrong? What’s the error?? 1.0.005675.7 x 10 -3 2.90370009.037000 x 10 6 3.23 000 23.0 x 10 -3 4.4.90 x 10 5 490 000. 5.1.056 x 10 -6 0.000001056 6.7.000 x 10 -2 0.07 16

17. Complete Scientific Notation WS Have me check your answers when done, then move onto Practice #4 17

18. Take out Practice Packet Number Scientific Notation 250. 200 000 0.000 55 602 300 000 000 000 000 000 000 0.000 000 000 000 000 000 160 18 A) Convert each of the following into scientific notation:

19. 19 Scientific Notation Standard Decimal Notation 7.982 X 10 11 7.02 X 10 -4 2.030 X 10- 18 4.3 X 10 -5 B) Convert each of the following into standard decimal notation:

20. C) Ksp is a measurement of the solubility of a salt. The larger the value of Ksp is, the more salt can dissolve in water. 1)4.3 X 10 -6 2) 5.7 X 10 -7 3) 9.8 X 10 -8 4) 3.2 x 10 -9 a) Which of the following Ksp values would indicate the salt with the highest solubility? _______ b) Which of the following Ksp values would indicate the salt with the lowest solubility? _______ c) Explain how you answered a and b. 20

21. Tonight: Complete WS: Scientific Notation! Density Lab due Day 11 21