1. Operating With Scientific Notation 3-4 In order for this presentation to work, you need to go to “Slide Show” in the top tool bar, and click on “Play” from start.” You may only be on my website. If you are done with your notes and the assignment, you may go to other sites using links from my website only.

2. Operating With Scientific Notation 3-4 Write each number in scientific notation. 2.091x10 6 1.08009x10 -3 1. 13,000 2. 2,091,000 3. 0.001080090 1.3x10 4 Bell work!

3. Operating With Scientific Notation 3-4 I can multiply and divide numbers written in scientific notation. Today’s learning Target:

4. Operating With Scientific Notation 3-4 4.6 10 2 Do division with me: Show the steps: (5.97  10 24 ) ÷ (1.3  10 22 ) 1) Write them as ratio, or fraction 2) Separate the coeffients from the powers 3) Use your calculator to divide 5.97 by 1.3. Then, divide the powers (hint: bases stay the same, subtract the exponents.) 5.97 10 24 1.3 10 22 5.97 10 24 1.3 10 22

5. Operating With Scientific Notation 3-4 = 2.0 10 1 Do more division with me: Show the steps: (4.2  10 5 ) ÷ (2.1  10 4 ) 1) Write them as ratio, or fraction 2) Separate the coefficients from the powers 3) Use your calculator to divide 4.2 by 2.1, then divide the powers. (Hint: bases stay the same, subtract the exponents.) 4.2 10 5 2.1 10 4 4.2 10 5 2.1 10 4

6. Operating With Scientific Notation 3-4 1) Write the ratio. 2) Divide the coefficients and divide the powers. Subtract exponents. 3) Write the result in scientific notation. 5.69 10 26 5.97 10 24 0.9531 10 2 5.69 10 26 5.97 10 24 9.531 10 1 You try one: Show the steps: (5.69  10 26 )÷ (5.97  10 24 ) Not in proper scientific notation!

7. Operating With Scientific Notation 3-4 7.4 10 22 kg 4.87 10 24 66 0.0738 10 24 kg Do another with me: 1) Write the ratio. 4.87 10 24 66 2) Divide the coefficients and divide the powers. 3) Write the result in scientific notation. 4.87 10 24 66 Not in scientific notation!

8. Operating With Scientific Notation 3-4 Show the steps: (3.45 x 10 13 )(8.53 x 10 9 ) = 29.429 x 10 22 Try multiplication with me: 1) Write the problem. 2) Separate the coefficients from the powers 3) multiply the coefficients and the powers. Remember to add the exponents. (3.45 x 10 13 )(8.53 x 10 9 ) = (3.45 x 8.53)(10 13 x 10 9 ) = (29.429)(10 13+9 ) 4) Write the result in scientific notation. = 2.9429 x 10 23 coefficientspowers Not in proper scientific notation!

9. Operating With Scientific Notation 3-4 Show the steps: (4.52 x 10 -9 )(5.78 x 10 9 ) = 26.1256 x 10 0 Try one: 1) Write the problem. 2) Separate the coefficients from the powers 3) multiply the coefficients and the powers. Remember to add the exponents. (4.52 x 10 -9 )(5.78 x 10 9 ) = (4.52 x 5.78)(10 -9 x 10 9 ) = (26.1256)(10 -9+9 ) 4) Write the result in scientific notation. = 2.61256 x 10 1 coefficientspowers Not in scientific notation!

10. Operating With Scientific Notation 3-4 Show the steps: (1.5 x 10 -5 )(6.1 x 10 12 ) = 9.15 x 10 7 Do another with me: 1) Write the problem. 2) Separate the numbers from the powers 3) multiply the coefficients and the powers. Remember to add the exponents. (1.5 x 10 -5 )(6.1 x 10 12 ) = (1.5 x 6.1)(10 -5 x 10 12 ) = (9.15)(10 -5+12 ) 4) Write the result in scientific notation.

11. Operating With Scientific Notation 3-4 Did you master today’s learning target? Prove it with a two question quiz.

12. Operating With Scientific Notation 3-4 Quick Quiz 1. Perform the indicated operation. Write your answer in scientific notation. (8.3 x 10 22 ) (4.3 x 10 18 ) A. 1.93 B. 0.193  10 4 C. 1.93  10 4 D. 1.93  10 40 2. Perform the indicated operation. Write your answer in scientific notation. (8.3 x 10 22 ) (4.3 x 10 18 ) A. 1.26  10 4 B. 3.569  10 40 C. 3.569  10 4 D. 3.569  10 41

13. Operating With Scientific Notation 3-4 Assignment Lesson 3.4A Page 107, Problems 7-10, 13-16, 19 Do your assignment before you do anything else!