Watch “Powers of 10” csu/powersof10/

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, 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 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 x atoms. NEW decimal point OLD decimal point. to your +23

Scientific Notation - SMALL Numbers - NEGATIVE Exponents The radius of an atom is about m. Express in scientific notation x 10 –10 The radius of an atom is 5 x 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.

Writing Numbers in Standard Form EXAMPLE 2 7 x x Since the e ee exponent is ,move the decimal 3 spaces to the r rr right. 00, ,800, 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 Convert each value from scientific to standard notation x 10–4 – –7 3 x 10 – –7 4 Remember, every number has an imaginary decimal point after it. 7 left