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

3. Carelessness when using numbers I have a million math problems to do I have a trillion things to get done tonight If you win 1 million dollars and you’re given the prize in 100 dollar bills, your stack of money is…. 4 inches high

4. However… If you win 1 trillion dollars and you’re given the prize in 100 dollar bills, your stack of money is…. 67 miles high

5. 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

6. 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

7. Put the following number in scientific notation: 1,560,200 1234567891011121314151617181920 21222324252627282930 1. 15,602 x 10 2 2. 1,560.2 x 10 3 3. 1.5602 x 10 4 4. 1.5602 x 10 6

8. 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

9. Put the following number in scientific notation: 0.0008305 1234567891011121314151617181920 21222324252627282930 1. 0.8305 x 10 -3 2. 8.305 x 10 3 3. 8.305 x 10 -4 4. 8.305 x 10 4

10. Math Operations & Sci. Notation – Page 9 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

11. 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

12. 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

13. Math Operations & Sci. Notation – Page 9 For Addition and Subtraction: You have to 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

14. 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