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1-4 Scientific Notation

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1-4 Scientific Notation

1. 1. Warm-up<br />Which number is the largest?<br />a. 1.13 x 109b. 3.51 x 103c. 5.88 x 105d. 7.92 x 102<br />Which unit can be used to measure volume? <br />a.mb. m2c. m3<br />Which of the following units is the longest?<br />a. meterb. centimeterc.kilometerd. millimeter<br />
2. 2. 1-4 Scientific Notation<br />Compare and contrast scientific theories, and scientific laws.<br />Use numbers involving scientific notation.<br />Determine significant figures.<br />
3. 3. Law vs. Theory<br />Law – a rule of nature<br /><ul><li>Answers the question “what?”</li></ul>Examples: Law of Attraction and Repulsion, Law of Gravity<br />Theory – An explanation based on repeated experimentation and observation.<br /><ul><li>Answers the question “why”</li></ul>Examples: Theory of Evolution, Atomic Theory<br />
4. 4. Law vs. Theory<br />Theories do not become laws!!! What doesn’t replace why!<br />A theory represents everything currently known about a topic.<br />
5. 5. Scientific Notation<br />Designed for the expression of very big and very small numbers<br />3.6 x 104<br />1 gram of hydrogen contains 301,000,000,000,000,000,000,000 molecules<br />3.01 x 1023molecules<br />a coefficient and a power of 10 <br />Exponent represents number of places decimal moved.<br />0.00081 = 8.1 x 10-4<br />Number is smaller than 1 – negative exponent<br />34,000 = 3.4 x 104<br />Number is greater than 1 – positive exponent<br />
6. 6. Sci. Not. Practice<br />62900 <br />6.29 x 104<br />0.00028<br />2.8 x 10-4<br />1720000<br />1.72 x 106<br />0.0753<br />7.53 x 10-2<br />
7. 7. Significant Figures<br />A method of expressing error in measurement. <br />Measure a value and then estimate one digit below the smallest unit on the tool.<br />5.35 cm<br />
8. 8. Significant Figures<br />Atlantic – Pacific Rule<br />Pacific – &quot;P&quot; is for decimal point is present Count significant digits starting with the first non-zero digit from the left.<br /> 0.004703 has 4 significant digits.<br />18.00 also has 4 significant digits.<br />Atlantic – &quot;A&quot; is for decimal point is absent. Start counting significant digits with the first non-zero digit from the right.<br />140,000 has 2 significant digits.<br />20060 has 4 significant digits.<br />
9. 9. Examples<br />50.3 <br />3 SF<br />0.0008 <br />1 SF<br />200200<br />4 SF<br />57.00 <br />4 SF<br />490<br />2 SF<br />10000000<br />1 SF<br />
10. 10. 1-4 Summary<br />What is scientific notation?<br />Scientific notation is used to express very large or very small numbers.<br />What are significant figures?<br />Significant figures tell us how important the numbers are.<br />