1. SCIENTIFIC NOTATION

2. Scientific Notation: a short-hand way of writing large numbers or small numbers without writing all of the zeros.

3. THE DISTANCE FROM THE SUN TO THE EARTH 93,000,000

4. STEP 1 1) Rewrite the number as a number less than 10 but at least 1. 9.3 is less than 10, but at least one

5. Write number without zeros Then…..

6. Count how many places you moved decimal Make that your power of ten Step 2

7. 93,000,000 --- Standard Form 9.3 x 10 7 --- Scientific Notation STANDARD V SCIENTIFIC

8. EXAMPLE 1 Convert to Scientific Notation Given: 289,800,000 Use: 2.898 Answer: Why is the exponent positive? 2. 898 x 10 8

9. PRACTICE PROBLEM 1)0.0985 = 9.85 x 10 ? 2)64,100,000,000 = 6.41 x 10 ? 3)0.00279 = 2.79 x 10 ? 4)4,200,000 = 4.2 x 10 ? Write in scientific notation. Decide the power of 10 9.85 x 10 -2 6.41 x 10 10 2.79 x 10 -3 4.2 x 10 6

10. MORE PRACTICE PROBLEMS 1)734,000,000 = ______ x 10 8 2)0.00072 = ______x 10 -4 3)90,000,000,000 = _____ x 10 10 On these, decide where the decimal will be moved. 1)7.34 x 10 8 2) 7.2 x 10 -4 3) 9 x 10 10

11. COMPLETE PRACTICE PROBLEMS 1)50,000 2)0.005 3)802,000,000,000 Write in scientific notation. 1) 5 x 10 4 2) 5.0 x 10 -3 3) 8.02 x 10 11

12. SCIENTIFIC NOTATION TO STANDARD FORM Step 1: Determine the sign of the power of 10. Step 2: Move the decimal point according to the power of 10.

13. SCIENTIFIC NOTATION TO STANDARD FORM 3.4 x 10 5 in scientific notation 340,000 in standard form 3.40000 --- move the decimal Example 1

14. EXAMPLE 2 Convert to Standard Notation Given: 5.093 x 10 -6 Answer: (move 6 places to the right) 0.000005093

15. WRITE IN STANDARD FORM 1)6.27 x 10 6 2) 9.01 x 10 4 3) 5.98 x 10 -3 4) 9.0 x 10 0