1. Multiplying with Scientific Notation Mrs. Spanier Pre-Algebra Video

2. Write the answer in scientific notation. (5 x 10 4 )(7 x 10 5 ) = (5 x 7)(10 4 x 10 5 ) = (35)(10 4+5 ) = 35 x 10 9 But we ’ re not done yet…

3. Write the answer in scientific notation. 35 x 10 9 35 is not between 1 and 10! So… move decimal and add one more place … 3.5 x 10 10

4. Write the answer in scientific notation. (8 x 10 2 )(5 x 10 2 ) = (8 x 5)(10 2 x 10 2 ) = (40)(10 2+2 ) = 40 x 10 4 = 4 x 10 5

5. Write the answer in scientific notation. (9 x 10 4 )(4 x 10 5 ) 3.6 x 10 10 (1.5 x 10 3 )(2 x 10 5 ) 3 x 10 8

6. Dividing with Scientific Notation Mrs. Spanier Pre-Algebra Video

7. Write the answer in scientific notation. (4 x 10 9 ) (8 x 10 5 ) = 0.5 10 9-5 = 0.5 10 4 4 10 9 8 10 5 = It ’ s not done yet…

8. Write the answer in scientific notation. 0.5 10 4.5 not between 1 & 10! Move the decimal to the right, and subtract one from the exponent. 5 x 10 3

9. Write the answer in scientific notation. (6 x 10 13 )  (2 x 10 7 ) = (6/2) 10 13-7 3 10 6 (1.2 x 10 2 )  (4 x 10 8 ) = 0.3 x 10 -6 = 3 x 10 -7

10. Evaluate without a calculator. (4 x 10 -4 ) -1 4 -1 x 10 4 4 -1 x 10 4 ¼ x 10 4 0.25 x 10 4 2,500 (5 x 10 -2 ) 3 5 3 x 10 -6 125 x 10 -6 0.000125

11. TOD: Evaluate without a calculator. (2 x 10 -1 ) -4 2 -4 x 10 4 2 -4 x 10 4 1/16 x 10 4 1/16 x 10 4 0.0625 x 10 4 0.0625 x 10 4 6.25 x 10²

12. The End