2. WARM UP WRITE THE NUMBER IN DECIMAL FORM 1.5 x 10 9 2.7 x 10 -6 WRITE IN SCIENTIFIC NOTATION 1.99,000 2.0.0004 3

3. WARM UP WRITE THE NUMBER IN DECIMAL FORM 1.5 x 10 9 2.7 x 10 -6 WRITE IN SCIENTIFIC NOTATION 1.99,000 2.0.0004 2

4. WARM UP WRITE THE NUMBER IN DECIMAL FORM 1.5 x 10 9 2.7 x 10 -6 WRITE IN SCIENTIFIC NOTATION 1.99,000 2.0.0004 1

5. WRITE THE NUMBER IN DECIMAL FORM 1.5 x 10 9 2.7 x 10 -6 WRITE IN SCIENTIFIC NOTATION 1.99,000 2.0.0004 WARM UP 0

6. 8.5 Scientific Notation GOAL Read and write numbers in scientific notation. KEY WORDS Scientific Notation

7. 8.5 Scientific Notation Scientific notation uses powers of ten to express decimal numbers. A number is written in scientific notation if it is of the form: c X 10 n Where 1 < c < 10 (c is greater than or equal to ONE but less than 10) and n is an integer.

8. 8.5 Scientific Notation EXAMPLE 3 Operations with Scientific Notation Perform the indicated operation. Write the result in Scientific Notation. a.(1.4 x 10 4 )(7.6 x 10 3 ) = (1.4 · 7.6) x (10 4 · 10 3 ) =10.64 x 10 7 = (1.064 x 10 1 ) x 10 7 = 1.064 x 10 8 Use the properties of Multiplication Use product of powers property Write in scientific notation Use product of powers property

9. 8.5 Scientific Notation Checkpoint Perform the indicated operation. Write the result in scientific notation. (2.3 x 10 3 )(1.8 x 10 -5 )

10. 8.5 Scientific Notation Write as a product Use quotient of powers property Write in scientific notation Use product of powers property

11. 8.5 Scientific Notation

12. EXAMPLE 3 Operations with Scientific Notation Perform the indicated operation. Write the result in Scientific Notation. c.(4 x 10 -2 ) 3 = 4 3 x (10 -2 ) 3 = 64 x 10 -6 =(6.4 x 10 1 ) x 10 -6 =6.4 x 10 -5 Use power of a product property Use power of a power property Write in scientific notation Use product of powers property

13. 8.5 Scientific Notation Checkpoint Perform the indicated operation. Write the result in scientific notation. (5 x 10 -4 ) 2