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Scientific Notation How wide is our universe? 210,000,000,000,000,000,000,000 miles (22 zeros) This number is written in standard form. When numbers get this large, it is easier to write them in scientific notation. Scientific Notation A number is expressed in scientific notation when it is in the form x aa´10 10n n where a is between 1 and 10 and n is an integer Partner Talk 1.3 Determine which ones are in Scientific Notation. 3 x 10 n a ´10 0.4 x 7.45 x 8 10 6 10 10 x 5.0 x 5 7 10 10 1x -3 10 Writing Numbers in Scientific Notation a. 40,000 b. .000137 c. 4,030 d. 0.028 e. 78 f. 0.548 Is this going to be a big or small number? a. 6.73 x 6 10 Express in Standard Form b. 5.925 x 2 10 c. 5.0 x 8 10 Is this going to be a big or small number? d. 2.4 x -3 10 Express in Standard Form e. 6.832 x 10-5 f. 3.2 x 10-1 Multiply With Scientific Notation g. Multiply 3x -7 10 and 9 x 3 10 Multiply With Scientific Notation g. Multiply 3x -7 10 and 9 x You try… 4 x 104 and 3 10 6 x 106