2. Scientific Notation Helping us write really tiny or really big numbers

3. Rules to Scientific Notation Parts: 1. Coefficient – must be a number from 1 – 9.9 2. Exponent – a power of 10 3.4 x 10 6 Easier than writing 3,400,000

4. Numbers Greater Than 10 1. Find the number by moving the decimal point that is between 1 – 9.9 45,300,000  4.53 2. Write a positive exponent which is equal to the number of places you moved the decimal point to the left. 4.53 x 10 7

5. Numbers Less Than 1 1. Find the number by moving the decimal point that is between 1 – 9.9 0.000291  2.91 2. Write a negative exponent which is equal to the number of places you moved the decimal point to the right. 2.91 x 10 -4

6. Special Note Sometimes exponents are written differently. We are used to 3.4 x 10 5 However, you may see 3.4E5 It means the same thing (“E” represents the exponent and replaces x 10

7. Math Operations & Sci. Notation For Multiplication: multiply coefficients add exponents (3.0 x 10 4 ) x (2.0 x 10 2 ) = 6.0 x 10 6 3 x 2 = 6 4 + 2 = 6

8. Math Operations & Sci. Notation For Division: divide coefficients subtract exponents (6.4 x 10 6) / (1.7 x 10 2 ) = 3.8 x 10 4 6.4 / 1.7 = 3.86 – 2 = 4

9. Be Careful… Remember the rule about the coefficient! Ex. (4.0 x 10 3 ) x (3.0 x 10 4 ) = 12.0 x 10 7 WRONG!!! Answer = 1.2 x 10 8

10. Math Operations & Sci. Notation For Addition and Subtraction: must make the exponents the same Ex. 5.4 x 10 3 + 6.0 x 10 4 = 0.54 x 10 4 +6.0 x 10 4 6.5 x 10 4

11. Special Note Sometimes exponents are written differently. We are used to 3.4 x 10 5 However, you may see 3.4E5 It means the same thing (“E” represents the exponent and replaces x 10