1. Scientific Notation A short-hand way of writing large numbers without writing all of the zeros. Scientific Notation Video

2. How many protons are in the Sun if it’s made up entirely of protons? Mass of the sun = 2 x 10 30 kg Mass of a proton = 1.673 x 10 -27 kg Video Answer

3. Scientific Notation A number is expressed in scientific notation when it is in the form a x 10 n where a is between 1 and 10 and n is an integer

4. The Distance From the Sun to the Earth 150,000,000 km

5. Step 1 Move decimal left Leave only one number in front of decimal

6. Step 2 Write number without zeros

7. Step 3 Count how many places you moved decimal Make that your power of ten

8. The power of ten is 8 because the decimal moved 8 places.

9. 150,000,000 --- Standard Form 1.5 x 10 8 --- Scientific Notation

10. Practice Problem 1) 98,500,000 = 9.85 x 10 ? 2) 64,100,000,000 = 6.41 x 10 ? 3) 279,000,000 = 2.79 x 10 ? 4) 4,200,000 = 4.2 x 10 ? Write in scientific notation. Decide the power of ten. 9.85 x 10 7 6.41 x 10 10 2.79 x 10 8 4.2 x 10 6

11. 1) Express 0.000 000 0902 in scientific notation. Where would the decimal go to make the number be between 1 and 10? 9.02 The decimal was moved how many places? 8 When the original number is less than 1, the exponent is negative. 9.02 x 10 -8

12. 2) Express 1.8 x 10 -4 in standard notation. 0.00018 3) Express 4.58 x 10 6 in standard notation. 4,580,000 On the graphing calculator, scientific notation is done with the button. 4.58 x 10 6 is typed 4.58 6

13. More Practice Problems 1) 734,000,000 = ______ 2) 870,000,000,000 = ______ 3) 90,000,000,000 = _______ Convert to Scientific Notation 1)7.34 x 10 8 2) 8.7 x 10 11 3) 9 x 10 10

14. More Practice Problems 1) 0.0734 = ______ 2) 0.870 = ______ 3) 0.009 = _______ Convert to Scientific Notation 1)7.34 x 10 -2 2) 8.70 x 10 -1 3) 9 x 10 -3

15. Scientific Notation to Standard Form Multiply by the power of ten 3.4 x 10 5 in scientific notation 340,000 in standard form 3.4 x 100 000 (or 3.4 [exp] 5)

16. Write in Standard Form 6.27 x 10 6 9.01 x 10 4 6,270,000 90,100

17. Converting Units Use the given conversions and set up an equation Convert 1500 m to km We know 1km = 1000m, so set up the equation: 1km = __?_km__  0.001x1500 = 1.5 km 1000m 1500m

18. Converting Lightyears 1 light year = 9.5 x 10 12 km Use the following equation to convert ly to km and km to ly 1ly = ly__ 9.5 x 10 12 km km or 9.5 x 10 12 km = ____km __ 1ly ly