Scientific Notation (large numbers)

1. Scientific Notation(large numbers) Textbook page 114

2. What is scientific notation? Scientific notation is a way of rewriting large or small numbers so that you have one digit in the one’s place multiplied by some power of ten.

3. Describe the steps of rewriting a large number in scientific notation. Step 1: Move the decimal left, so that only one digit is in front of the decimal. Step 2: Multiply that number by a power of ten. (The exponent is how many times you had to move the decimal.)

4. Example 1: Write each number in scientific notation. • 700,000 * move the decimal 7.0 * multiply by a power of ten 7.0 x 105 (The exponent is 5 because we moved the decimal 5 places.)

5. Example 1: Write each number in scientific notation. (B) 8,296,000 * move the decimal 8.296 * multiply by a power of ten 8.296 x 106 (The exponent is 6 because we moved the decimal 6 places.)

6. Example 1: Write each number in scientific notation. (C) 58,000 * move the decimal 5.8 * multiply by a power of ten 5.8 x 104 (The exponent is 4 because we moved the decimal 4 places.)

7. Example 2: Write each number in standard form. (A) 8.753 x 102 * move the decimal right the number of the exponent 875.3

8. Example 2: Write each number in standard form. (B) 3.2 x 107 * move the decimal right the number of the exponent * fill in any open spaces with zeros 32,000,000

9. Example 2: Write each number in standard form. (C) 2.001 x 101 * move the decimal right the number of the exponent 20.01