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# Algebra 6 Point 5

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### Algebra 6 Point 5

1. 1. 6.5 Scientific Notation<br />Objective: <br /><ul><li>To convert ordinary numbers to scientific notation and vice versa</li></ul>Frameworks: 8.N.4<br />
2. 2. What is scientific notation?<br />a compact way of writing very large and very small numbers<br />useful in seeing the magnitude of a number at a glance<br />useful in astronomy, chemistry, and other sciences<br />
3. 3. Scientific Notation<br />A number is written in scientific notation when it is in the form<br /> a x 10n<br />where 1 ≤ a < 10 and n is an integer.<br />
4. 4.
5. 5. Try some:<br />8654.32<br />8.65432 x 103<br />.00346<br />3.46 x 10-3<br />.00002013<br /> 2.013 x 10-5<br />54179.82<br />5.417982 x 104<br />
6. 6. And in reverse . . . Express each number in ordinary notation:<br />8.0032 x 104<br /> 80,032<br />3.76 x 10-6<br /> 0.00000376<br />4.602 x 105<br /> 460,200<br />6.415 x 10-3<br /> 0.006415<br />
7. 7. Using a scientific calculator<br />Look for a key that says EE or EXP<br />To multiply: (5.2 x 102)(8.6 x 104)<br />Type: 5.2 “EE” 2 x 8.6 “EE” 4<br />Get: 4.472 07 (which is 4.472 x 107)<br />
8. 8. Turn to page 215<br />Do 1-8<br />