1. Scientific Notation Used for very small or very large numbers Write out 1 million Write out 2.75 billion Write out 602 sexillion – That is 24 digits total

2. Scientific Notation Consists as a product of 2 numbers. A coefficient and a power of 10 6.02 x 10 23 = 602 sexillion 2.5 x 10 4 = 2.5 x 10 x 10 x 10 x 10 Or 25000

3. Put the following into scientific notation: A) 36,000 B) 5,200,000 C).00521

4. Significant figures The digits known precisely + 1 digit. A method of reporting measurements. Your odometer reads to the tenth. It’s not appropriate to report a distance measured with an odometer as 14.745369328576 miles

5. Significant Figures Reporting measurements correctly is the easy part The line is between longer than 6.0 cm, shorter than 6.1 cm We know precisely 6.0, we can estimate the next digit… 6.05cm This ruler measures to 3 SIGNIFICANT FIGURES

6. Significant figures…rules Every NON-zero is significant 24.7 m 74 ml 582 g Zeros between NON- zeros are significant 10035 ft 4007 g Leading Zeros are NOT significant – 0.0065 PASCAL's – 0.45 meters These are ‘place holding zeros’. Write these measurements in scientific notation to avoid ‘place holding zeros’ Reading other peoples measurements…

7. Significant figures…rules Ending zeros AFTER a decimal point ARE significant. – 47.00m (4) – 20.010 g (5) Ending zeros BEFORE a decimal point. Are NOT significant – 7000m (1) These are once again ‘place holders’ UNLIMITED… Counting – #of kids in the class Exactly defined quantities – 1hr=60 minutes – This is an exact definition…The significant figures are unlimited. You could say 1 hr = 60.000000000000 min Reading other peoples measurements…

8. Significant Figures and calculations Have you ever asked a teacher: “How many numbers do I write down?” The real answer depends on the number of significant figures in the calculation 35.448796415

9. Significant Figures and calculations +,- round to the same # of places as the measurement with the least significant place value. Ex: 45.716g + 17.1 g 62.816g Report as 62.8 g 62.816

10. Significant Figures and calculations Multiplication and division. Round to the # of significant figures in the least accurate term. Ex: 17.8 x 357.8796 Answer 6370.25688 17.8 has 3 significant figures Report the answer as 6370 6370.25688