1. SCIENTIFIC NOTATION A QUICK WAY TO WRITE REALLY, REALLY BIG OR REALLY, REALLY SMALL NUMBERS.

2. Mathematicians are Lazy!!! They decided that by using powers of 10, they can create short versions of long numbers.

3. Scientific Notation A number is expressed in scientific notation when it is in the form a x 10 n where a is from 1 to 9 and n is an integer 23 X 10 5 is not in proper scientific notation. Why?

4. Soooo 137,000,000 can be rewritten as 1.37 X 10 8

5. Now You Try Using scientific notation, rewrite the following numbers. 347,000. 3.47 X 10 5 902,000,000. 9.02 X 10 8 61,400. 6.14 X 10 4

6. Try These 4,000 4 X 10 3 2.48 X 10 3 2,480 6.123 X 10 6 6,123,000 306,000,000 3.06 X 10 8

7. Your Turn Using Scientific Notation, rewrite the following numbers. 0.000882 8.82 X 10 -4 0.00000059 5.9 X 10 -7 0.00004 4 X 10 -5

8. More Examples 1) 0.0004 4 X 10 -4 2) 1.248 X 10 -6.000001248 3) 6.123 X 10 -5.00006123 4) 0.00000306 3.06 X 10 -6 5) 0.000892 8.92 X 10 -4

9. Using your calculator Express 4.58 x 10 6 in decimal 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

10. Use a calculator to evaluate: 4.5 x 10 -5 1.6 x 10 -2 Type 4.5 -5 1.6 -2 You must include parentheses if you don’t use those buttons!! (4.5 x 10 -5) (1.6 x 10 -2) 0.0028125 Write in scientific notation. 2.8125 x 10 -3

11. Use a calculator to evaluate: 7.2 x 10 -9 1.2 x 10 2 On the calculator, the answer is: 6.E -11 The answer in scientific notation is 6 x 10 -11 The answer in decimal notation is 0.00000000006

12. Use a calculator to evaluate (0.0042)(330,000). On the calculator, the answer is 1386 The answer in decimal notation is 1386. The answer in scientific notation is 1.386 x 10 3

13. Use a calculator to evaluate (3,600,000,000)(23). On the calculator, the answer is: 8.28 E +10 The answer in scientific notation is 8.28 x 10 10 The answer in decimal notation is 82,800,000,000

14. Write in PROPER scientific notation. (Notice the number is not between 1 and 10) 234.6 x 10 9 2.346 x 10 11 0.0642 x 10 4 on calculator: 642 6.42 x 10 2