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Scientific Notation - LARGE Numbers - POSITIVE Exponents Your pencil has 602,200,000,000,000,000,000,000 carbon atoms. Write this number in scientific notation. Remember, every whole number has a imaginary decimal point at the end. 602,200,000,000,000,000,000,000 • +23 6022 x 10 • 1. Find the first non-zero number ... ... and the last non-zero number. BASE NUMBER x POWER OF TEN 2. Write that number underneath. Put a decimal after the first digit (6). * This is the BASE NUMBER Your pencil has 6.022 x 1023 atoms. 4. Multiply the base number by the POWER OF TEN . Count the number of decimal places from your NEW decimal point to your OLD decimal point. 6. Write that number as an exponent of 10.

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

.0000003 .0006001 Changing Scientific Notation --> Standard Form EXAMPLE 2 Writing Numbers in Standard Form Convert each value from scientific to standard notation The exponent will tell you how many spaces to move the decimal. 7 x 103 0 0 0 Remember, every number has an imaginary decimal point after it. 7000 4.398 x 108 Since the exponent is +3 ,move the decimal 3 spaces to the right. +8 –4 –7 439,800,000 4 7 8 left 6.001 x 10–4 .0006001 3. Fill the empty place values with zeros. 3 x 10–7 .0000003