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# Scientific

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### Scientific

1. 1. Scientific Notation
2. 2. What is scientific Notation? <ul><li>Scientific notation is a way of expressing really big numbers or really small numbers. </li></ul><ul><li>It is most often used in “scientific” calculations where the analysis must be very precise. </li></ul>
3. 3. Why use scientific notation? <ul><li>For very large and very small numbers, these numbers can be converted into scientific notation to express them in a more concise form. </li></ul><ul><li>Numbers expressed in scientific notation can be used in a computation with far greater ease. </li></ul>
4. 4. Scientific notation consists of two parts: <ul><li>A number between 1 and 10 </li></ul><ul><li>A power of 10 </li></ul><ul><li>N x 10 x </li></ul><ul><li>Are the following in scientific notation? </li></ul>
5. 5. Changing standard form to scientific notation.
6. 6. To change standard form to scientific notation… <ul><li>Place the decimal point so that there is one non-zero digit to the left of the decimal point. </li></ul><ul><li>Count the number of decimal places the decimal point has “moved” from the original number. This will be the exponent on the 10. </li></ul>
7. 7. Continued… <ul><li>If the original number was less than 1, then the exponent is negative. If the original number was greater than 1, then the exponent is positive. </li></ul>
8. 8. Example 1 <ul><li>Given: 289,800,000 </li></ul><ul><li>Use: 2.898 (moved 8 places) </li></ul><ul><li>Answer: 2.898 x 10 8 </li></ul>
9. 9. Practice <ul><li>Put these standard form numbers in scientific notation. </li></ul><ul><li>4,000,000 </li></ul><ul><li>130,000 </li></ul>
10. 10. Try converting these numbers into scientific form people at your table. <ul><li>10,000,000 </li></ul><ul><li>76,000 </li></ul>
11. 11. Changing scientific notation to standard form.
12. 12. To change scientific notation to standard form… <ul><li>Simply move the decimal point to the right for positive exponent 10. </li></ul><ul><li>Move the decimal point to the left for negative exponent 10. </li></ul><ul><li>(Use zeros to fill in places.) </li></ul>
13. 13. Example 3 <ul><li>Given: 5.093 x 10 6 </li></ul><ul><li>Answer: 5,093,000 (moved 6 places to the right) </li></ul>
14. 14. Practice <ul><li>4.5 x 10 4 </li></ul><ul><li>5 x 10 6 </li></ul>