Significant Figures AND Scientific Notation

1. Significant FiguresANDScientific Notation

2. Significant Digits (Figures) The certain digits and the estimated digit of a measurement are together called the significant digits of the measurement.

3. What do you know….(PTT: Personal Think Time) If you had to guess how many sig fig’s are into these numbers, how many would you say? 1 558 122 0.002 10 85.24

4. When is a Zero Significant? Do you think 0’s are significant?

5. How much would you rather make? $253 OR $253,000,000

6. Rules of 0? • Non-zero digits are always significant. • Any zeros between two significant digits are significant. 3) A final zero or trailing zeros in the decimal portion ONLY are significant.

7. 1) 3.0800 5) 250 • 2) 0.00418 6) 780,000,000 • 3) 91,600 7) 0.0101 • 4) 0.003005 8) 0.00800

8. 1) 3.0800 5) 250 =5 =2 • 2) 0.00418 6) 780,000,000 =3 =2 • 3) 91,600 7) 0.0101 =3 =3 • 4) 0.003005 8) 0.00800 =4 =3

9. Scientific Notation Rules: • When you move the decimal place to the right the exponent is negative • When you move the decimal place to the left the exponent is positive

10. How to write in Scientific Notation You must have: #.# x10# You must include any information that is significant after the decimal

11. Scientific 2531011 =2.531011 x106

12. Try on your own! 100 0.0245822102 2500 0.002 265400 0.02 2546284 25448521100285

13. 100 0.0245822102 =1.0x102 =2.45822102x10-2 2500 0.002 =2.5x103 =2.0 x10-3 265400 0.02 =2.654 x105 =2. 0x10-2 2546284 25448521100285 =2.546284x106 =2.5448523300285x1013

14. 100 0.0245822102 =1 =9 2500 0.002 =2 =1 265400 0.02 =4 =1 2546284 25448521100285 =7 =14