Math ­ N&N ­ Powers of 10 & Exp Form+Sci Not.notebook September 23, 2014 Multiplying and Dividing by Powers of 10 and Representing Numbers in Scientific Notation and Expanded Form Learning goal: We are learning how to represent numbers in a variety of ways including scientific notation and expanded form Recall: 10 x 10 10 x 10 x 10 10 x 10 x 10 x 10 What about: 1.5 x 10 15 x 10 150 x 10 so, 1.5 x 103 = Sep 22­8:41 PM What about: 18.9 10 1.89 10 0.189 10 so, 18.9 103= What can we say about multiplying and dividing by powers of 10? Sep 22­9:01 PM 1 Math ­ N&N ­ Powers of 10 & Exp Form+Sci Not.notebook September 23, 2014 On your own: a) 102 x 45 b) 2.01 x 104 d) 1.3 102 e) 1000 104 c) 0.004 x 103 f) 14 567 106 Sep 22­9:09 PM Express the number 1 756 300 on a place value chart. Millions Ones Thousands Hundreds Tens Hundreds Ones Hundreds Tens Ones How can we express each place on the chart as a power of 10? Express 1 756 300 in expanded form: Sep 22­9:13 PM 2 Math ­ N&N ­ Powers of 10 & Exp Form+Sci Not.notebook September 23, 2014 Express 1 756 300 in Scientific Notation: On Your Own: Standard Form Expanded Form 360 Scientific Notation 3.6 x 102 3 x 103 + 6 x 102 520 000 Sep 22­9:33 PM Exit ticket: 1) Which number is greatest? 4376 5 x 103 + 4 x 102 6.13 x 103 Prove your answer. 2) Explain how you can change a number in standard form to expanded form. Use an example to clarify your explanation. Sep 22­9:41 PM 3