# Scientific Notation LARGE Numbers POSITIVE Exponents Your pencil

Scientific Notation - LARGE Numbers - POSITIVE Exponents Your pencil has 602, 200, 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 • +23 6022 x 10 1. Find the first non-zero number. . . • BASE NUMBER x POWER OF TEN Your pencil has 6. 022 x 10 atoms. 23 . . . and the last non-zero number. 2. Write that number underneath. 3. Put a decimal after the first digit (6). * This is the BASE NUMBER 4. Multiply the base number by the POWER OF TEN . 5. Count the number of decimal places from your NEW decimal point 6. to your OLD decimal point. Write that number as an exponent of 10.

Scientific Notation - SMALL Numbers - NEGATIVE Exponents The radius of an atom is about 0. 000005 m. Express in scientific notation. 0. 000005 5 • x 10 – 10 1. Find the first non-zero number. . . and the last non-zero number. 2. Write that number underneath. 3. Put a decimal after the first digit (5). * This is the BASE NUMBER Since it’s just a whole number, get rid of the decimal. It’s negative because the number is really small. 4. Multiply the base number by the POWER OF TEN 5. Count the number of decimal places from your NEW decimal point 6. to your OLD decimal point. Write that number as an exponent of 10. The radius of an atom is 5 x 10 -10 m.

Changing --> Standard Form Writing Notation Numbers in Standard Form EXAMPLE 2 Scientific Convert each value from scientific to standard notation 7 00 0 x 10 3 1. The exponent will tell you how many spaces to move the decimal. Remember, every number has an 7000 . imaginary decimal point after it 4. 398 x 10 8 – 7+3, – 4 2. Since the exponent is +3 move +8 783 spaces to the left the decimal 4 right 439, 800, 000 6. 001 x 10 – 4 . 0006001 3 x 10 . 0000003 – 7 3. Fill the empty place values with zeros

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