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Watch “Powers of 10” http://micro.magnet.fsu.edu/primer/java/scienceopti csu/powersof10/

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602,200,000,000,000,000,000,000 Your pencil has 602,200,000,000,000,000,000,000 carbon atoms. Write this number in scientific notation. Scientific Notation - LARGE Numbers - POSITIVE Exponents 602,200,000,000,000,000,000,000 1. Find the first non-zero number... 3.Put a decimal after the first digit (6). BASE NUMBER * This is the BASE NUMBER 5.Count the number of decimal places from your... and the last non-zero number. 2. Write that number underneath. 6022 4. Multiply the base number by the P PP POWER OF TEN. BASE NUMBER x 10 Remember, every whole number has a imaginary decimal point at the end. 6.Write that number as an exponent of 10. POWER OF TEN x Your pencil has 6.022 x 10 23 atoms. NEW decimal point OLD decimal point. to your +23

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Scientific Notation - SMALL Numbers - NEGATIVE Exponents The radius of an atom is about 0.0000000005 m. Express in scientific notation. 0.0000000005 5 x 10 –10 The radius of an atom is 5 x 10 -10 m. 1. Find the first non-zero number... 3.Put a decimal after the first digit (5). BASE NUMBER * This is the BASE NUMBER 5.Count the number of decimal places from your... and the last non-zero number. 2. Write that number underneath. 4. Multiply the base number by the P PP POWER OF TEN 6.Write that number as an exponent of 10. NEW decimal point OLD decimal point. to your It’s negative because the number is really small. Since it’s just a whole number, get rid of the decimal.

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Writing Numbers in Standard Form EXAMPLE 2 7 x 10 3 8 4.398 x 10 8 2.Since the e ee exponent is + ++ +3,move the decimal 3 spaces to the r rr right. 00,000 439,800,000 000 7000 Changing Scientific Notation --> Standard Form 1.The e ee exponent will tell you how many spaces to move the decimal. 3. Fill the empty place values with z zz zeros. 0 0 0 Convert each value from scientific to standard notation +8 8 6.001 x 10–4 –4.0006001 –7 3 x 10 –7. 0000003 –7 4 Remember, every number has an imaginary decimal point after it. 7 left

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