1. Today’s lesson... What: Exponents Why: To evaluate #’s with both positive and negative exponents and to analyze the powers of 10.

2. 5454 _______________________ _____________________________ “squared” means ____________________ “cubed” means ______________________ How do you say the above power out loud? “Five ______________________________________.” exponent base number power of two power of three raised to the power of four

3. Examples: Re-write the following expressions as repeated multiplication: POWERREPEATED MULTIPLICATION 1. 3 3 2. 6 5 3. 7 4 4. 9 7 3 x 3 x 3 6 x 6 x 6 x 6 x 6 7 x 7 x 7 x 7 9 x 9 x 9 x 9 x 9 x 9 x 9

4. Evaluate the following positive exponent examples: 4 x 4 x 4 64 2 x 2 x 2 x 2 x 2 32 8 x 8 x 8 5 x 5 x 5 x 5 512 625

5. Powers of 10: 10 10 = 10,000,000,000 10 5 =10 0 = 10 9 = 1,000,000,000 10 4 =10 -1 = 10 8 = 100,000,000 10 3 =10 -2 = 10 7 =10 2 =10 -3 = 10 6 =10 1 =10 -4 = Study the patterns. How can you finish this table without multiplying? Any # raised to the power of zero is _____! 10,000,000 1,000,000 100,000 10,000 1,000 100 10 1 0.1 or 1 / 10 0.01 or 1 / 100 0.001 or 1 / 1000 0.0001 or 1 / 10,000 ONE Video

6. What about other negative exponents? Positive exponents make numbers LARGER, while negative exponents make numbers _________________________________ !!! Negative exponents DO NOT make the base # NEGATIVE!!!!!!!!! Guided practice: smaller

7. On your own: 1

8. END OF LESSON The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed. NOTE: The last slide(s) in any lesson slideshow (entitled “Practice Work”) represent the homework assigned for that day.

9. How do you say the above power out loud? “Five ______________________________________________________________________________.” Examples: Re-write the following expressions as repeated multiplication: 5454 ________ “squared” means ______________ “cubed” means ________________ Math-7 NOTES DATE: ______/_______/_______ What: Exponents Why: To evaluate #’s with both positive and negative exponents and to analyze the powers of 10. NAME: POWERREPEATED MULTIPLICATION 1. 3 3 2.6 5 3.7 4 4. 9 7 Evaluate the following positive exponent examples:

10. What about other negative exponents? Any # raised to the power of zero is _____ Powers of 10: 10 10 = 10,000,000,00010 5 = __________________10 0 = __________________ 10 9 = 1,000,000,00010 4 = __________________10 -1 = __________________ 10 8 = 100,000,00010 3 = __________________10 -2 = __________________ 10 7 = __________________10 2 = __________________10 -3 = __________________ 10 6 = __________________10 1 = __________________10 -4 = _________________ Positive exponents make numbers LARGER, while negative exponents make numbers _________________________________ !!! Study the patterns. How can you finish this table without multiplying? Negative exponents DO NOT make the base # NEGATIVE!!!!!!!!!

11. PRACTICE WORK NAME:________________________________________________________________________________DATE: _____/_____/__________ “exponents” Re-write the following powers using repeated multiplication: 1. 12 4 = __________________________________________________________________________________ 2. 8 5 = ___________________________________________________________________________________ 3. 25 6 = __________________________________________________________________________________ Evaluate: 8.What is the value of any number raised to the power of zero? ___________________ 9.In your own words, describe the difference between numbers with positive exponents and numbers with negative exponents. 10.Using the pattern established for powers of 10, evaluate the following: 10 12 = _______________________________________________________________________ Evaluate: