3 4 Operating With Scientific Notation In order

3 -4 Operating With Scientific Notation 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.

3 -4 Operating With Scientific Notation Bell work! Write each number in scientific notation. 1. 13, 000 1. 3 x 104 2. 2, 091, 000 2. 091 x 106 3. 0. 001080090 1. 08009 x 10 -3

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

3 -4 Operating With Scientific Notation Do division with me: Show the steps: (5. 97 1024) ÷ (1. 3 1022) 5. 97 1024 1. 3 1022 1) Write them as ratio, or fraction 5. 97 1024 1. 3 1022 2) Separate the coeffients from the powers 4. 6 102 3) Use your calculator to divide 5. 97 by 1. 3. Then, divide the powers (hint: bases stay the same, subtract the exponents. )

3 -4 Operating With Scientific Notation Do more division with me: Show the steps: (4. 2 105 ) ÷ (2. 1 104) 4. 2 105 2. 1 104 1) Write them as ratio, or fraction 4. 2 105 2. 1 104 2) Separate the coefficients from the powers = 2. 0 101 3) Use your calculator to divide 4. 2 by 2. 1, then divide the powers. (Hint: bases stay the same, subtract the exponents. )

3 -4 Operating You try With one: Scientific Notation Show the steps: (5. 69 1026 )÷ (5. 97 1024) 5. 69 1026 5. 97 1024 1) Write the ratio. 5. 69 1026 5. 97 1024 2) Divide the coefficients and divide the powers. Subtract exponents. 0. 9531 102 Not in proper scientific notation! 9. 531 101 3) Write the result in scientific notation.

3 -4 Operating With Scientific Notation Do another with me: 4. 87 1024 66 1) Write the ratio. 4. 87 1024 66 2) Divide the coefficients and divide the powers. 0. 0738 1024 kg Not in scientific notation! 7. 4 1022 kg 3) Write the result in scientific notation.

3 -4 Operating With Scientific Notation Try multiplication with me: Show the steps: (3. 45 x 1013 )(8. 53 x 109 ) 1) Write the problem. 2) Separate the coefficients from = (3. 45 x 8. 53)(1013 x 109 ) the powers coefficients powers = (29. 429)(1013+9 ) = 29. 429 x 1022 Not in proper scientific notation! = 2. 9429 x 1023 3) multiply the coefficients and the powers. Remember to add the exponents. 4) Write the result in scientific notation.

3 -4 Operating Try one: With Scientific Notation Show the steps: (4. 52 x 10 -9)(5. 78 x 109 ) (4. 52 x 10 -9 )(5. 78 x 109 ) 1) Write the problem. = (4. 52 x 5. 78)(10 -9 x 109 ) 2) Separate the coefficients from the powers = (26. 1256)(10 -9+9 ) 3) multiply the coefficients and the powers. Remember to add the exponents. coefficients = 26. 1256 x 100 Not in scientific notation! = 2. 61256 x 101 powers 4) Write the result in scientific notation.

3 -4 Operating With Scientific Notation Do another with me: Show the steps: (1. 5 x 10 -5 )(6. 1 x 1012 ) 1) Write the problem. = (1. 5 x 6. 1)(10 -5 x 1012 ) 2) Separate the numbers from the powers = (9. 15)(10 -5+12 ) 3) multiply the coefficients and the powers. Remember to add the exponents. = 9. 15 x 107 4) Write the result in scientific notation.

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

Quick Quiz With Scientific Notation 3 -4 Operating 1. Perform the indicated operation. Write your answer in scientific notation. (8. 3 x 1022) (4. 3 x 1018) A. 1. 93 B. 0. 193 104 C. 1. 93 104 D. 1. 93 1040 2. Perform the indicated operation. Write your answer in scientific notation. (8. 3 x 1022) (4. 3 x 1018) A. 1. 26 104 B. 3. 569 1040 C. 3. 569 104 D. 3. 569 1041

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