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Operating With Scientific Notation 3-4 Write each number in scientific notation x x , ,091, x10 4 Bell work!

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

Operating With Scientific Notation Do division with me: Show the steps: (5.97  ) ÷ (1.3  ) 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.)

Operating With Scientific Notation 3-4 = 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.)

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 You try one: Show the steps: (5.69  )÷ (5.97  ) Not in proper scientific notation!

Operating With Scientific Notation kg kg Do another with me: 1) Write the ratio ) Divide the coefficients and divide the powers. 3) Write the result in scientific notation Not in scientific notation!

Operating With Scientific Notation 3-4 Show the steps: (3.45 x )(8.53 x 10 9 ) = x 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 )(8.53 x 10 9 ) = (3.45 x 8.53)(10 13 x 10 9 ) = (29.429)( ) 4) Write the result in scientific notation. = x coefficientspowers Not in proper scientific notation!

Operating With Scientific Notation 3-4 Show the steps: (4.52 x )(5.78 x 10 9 ) = 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 )(5.78 x 10 9 ) = (4.52 x 5.78)(10 -9 x 10 9 ) = ( )( ) 4) Write the result in scientific notation. = x 10 1 coefficientspowers Not in scientific notation!

Operating With Scientific Notation 3-4 Show the steps: (1.5 x )(6.1 x ) = 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 )(6.1 x ) = (1.5 x 6.1)(10 -5 x ) = (9.15)( ) 4) Write the result in scientific notation.

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

Operating With Scientific Notation 3-4 Quick Quiz 1. Perform the indicated operation. Write your answer in scientific notation. (8.3 x ) (4.3 x ) A B  10 4 C  10 4 D  Perform the indicated operation. Write your answer in scientific notation. (8.3 x ) (4.3 x ) A  10 4 B  C  10 4 D  10 41

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!