1. Exponents and Scientific Notation 5.1 1.Evaluate exponential forms with integer exponents. 2.Write scientific notation in standard form. 3.Write standard form numbers in scientific notation.

2. Objective 1 Evaluate exponential forms with integer exponents.

3. When an equation in one variable is solved the answer is a point on a line. Identify the base, exponent and evaluate. Base: Exponent: Value: Base: Exponent: Value: Base: Exponent: Value: Base: Exponent: Value: 2 5 32 -2 3 -8 -2 4 16 2 4 -16

4. Evaluate: – 3 2 a) 9 b) –6 c) 6 d)  9

5. Evaluate: – 3 2 a) 9 b) –6 c) 6 d)  9

6. Evaluate: a) -93 b) 15 c) 105 d) None of the above

7. Evaluate: a) -93 b) 15 c) 105 d) None of the above

8. Evaluating Exponential Forms with Negative Bases (negative number) even exponent = positive (negative number) odd exponent = negative

9. When an equation in one variable is solved the answer is a point on a line. Evaluate.

10. Raising a Quotient to a Power If a and b are real numbers, where b 0 and n is a natural number, then

11. Observe the pattern…. 1

12. Zero as an Exponent If a is a real number and then

13. When an equation in one variable is solved the answer is a point on a line. Evaluate: 1 1 – 1 1

14. When an equation in one variable is solved the answer is a point on a line. Evaluate: 6 1 – 1 1 – 1 = 0

15. When an equation in one variable is solved the answer is a point on a line. Evaluate: Indeterminate -6x 2

16. Observe the pattern…. Negative exponents are POSITIONAL only!!!

17. If a is a real number, where a 0 and n is a natural number, then Exponents must be positive before you can evaluate!!!

18. When an equation in one variable is solved the answer is a point on a line. Simplify:

19. Negative exponents are POSITIONAL only!!!

20. If a is a real number, where a 0 and n is a natural number, then

21. When an equation in one variable is solved the answer is a point on a line. Simplify:

23. If a and b are real numbers, where a 0 and b 0 and n is a natural number, then

24. Slide 5- 24 Copyright © 2011 Pearson Education, Inc. Evaluate: – 2 –6 a) b) c) d) 64 5.1

25. Slide 5- 25 Copyright © 2011 Pearson Education, Inc. Evaluate: – 2 –6 a) b) c) d) 64 5.1

26. Objective 2 Write scientific notation in standard form.

27. Scientific notation: A number expressed in the form where a is a decimal number with and n is an integer.

28. Write 875,000 in scientific notation.

29. Write 0.0000000472 in scientific notation.

30. Write in standard form: = 426,000

31. Write in standard form: =.000387

32. Slide 5- 32 Copyright © 2011 Pearson Education, Inc. Write 13,030,000 in scientific notation. a) b) c) d) 5.1

33. Slide 5- 33 Copyright © 2011 Pearson Education, Inc. Write 13,030,000 in scientific notation. a) b) c) d) 5.1

34. Slide 5- 34 Copyright © 2011 Pearson Education, Inc. Write in standard notation. a) 4,690,000 b) 4,690,000,000 c) 0.000000469 d) 0.00000469 5.1

35. Write in standard notation. a) 4,690,000 b) 4,690,000,000 c) 0.000000469 d) 0.00000469 5.1