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

2. The Distance From the Sun to the Earth 93,000,000

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

4. Step 2 Write number without zeros

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

6. The power of ten is 7 because the decimal moved 7 places.

7. Standard Form 93,000,000 Scientific Notation 9.3 x 10 7

8. 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

9. More Practice Problems 1) 734,000,000 = ______ x 10 8 2) 870,000,000,000 = ______x 10 11 3) 90,000,000,000 = _____ x 10 10 On these, decide where the decimal will be moved. 1)7.34 x 10 8 2) 8.7 x 10 11 3) 9 x 10 10

10. Complete Practice Problems 1) 50,000 2) 7,200,000 3) 802,000,000,000 Write in scientific notation. 1) 5 x 10 4 2) 7.2 x 10 6 3) 8.02 x 10 11

11. Scientific Notation to Standard Form Move the decimal to the right 3.4 x 10 5 in scientific notation 340,000 in standard form 3.40000 --- move the decimal

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

13. Negative numbers/Decimals On numbers with decimals just move the decimal to the left. Give the remaining power of 10 a negative number the number you have moved the decimal.

14. Examples 0.000035 in standard notation is 3.5 x 10 -5 in scientific notation 0.000000000000567 is 5.67 x 10 -13 in scientific notation 1.4 x 10 -3 in scientific notation is 0.0014 in standard notation

15. Remember that all decimals will have a negative exponent! Write in Scientific Notation or Standard Form: 0.98 = 9.8X10 -1 0.0058 = 5.8 x 10 -3 3.35 x 10 -1 = 0.335