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Aim: Why do we use Scientific notation in Science? Do Now: - In your notebooks, explain why scientists use scientific notation to represent numbers they calculate rather then writing out the entire number.
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Aim: Why do we use Scientific notation in Science? Do Now: - In your notebooks, explain why scientists use scientific notation to represent numbers they calculate rather then writing out the entire number.
Scientific notation is used to write numbers in a short-hand form. This technique makes really large or really small numbers easier to read and write. Ex: 9,600,000 = 9.6 x 10 6 .00049 = 4.9 x 10 -4
Rules for writing in Scientific Notation Step 1 Position the decimal point to get a number between 1 and 10 Step 2 Count the number of places the decimal point was moved to get the number between 1 and 10. Where did it start originally? Step 3 Write the number as a product between 1 and 10 to a power of 10 using the number of spaces the decimal moved as your exponent. 9 600 000 = 9.6 x 10 6
Closure: • Take a “Writing numbers in Scientific Notation” worksheet from the back. • Working with the person sitting next to you, work on the practice problems on the front of the worksheet.
4.6x10-2 2) 4.605X106 3) 3.3X104 • 4) 9.632X103 5) 8.0X10-3 6) 3.0X10-2 • 7) 1.458X106 8)1.4X10-2 9) 5.7X103 10) 6.57x101 11) 5.45x10-3 12)2.245x107 13) 8.03x10-2 14) 6.783x102 15) 3.47x106 16) 1.2x103 17) 5.7x104 18) 3.798 19) 88500 20) 184.7 21) .003400 22) .065 23) 970 24) .14 25) 439500 26) 113 27) 224000