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

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

Examples: Re-write the following expressions as repeated multiplication: POWERREPEATED MULTIPLICATION 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

Evaluate the following positive exponent examples: 4 x 4 x x 2 x 2 x 2 x x 8 x 8 5 x 5 x 5 x

Powers of 10: = 10,000,000, =10 0 = 10 9 = 1,000,000, =10 -1 = 10 8 = 100,000, =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 10,000 1, or 1 / or 1 / or 1 / or 1 / 10,000 ONE Video

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

On your own: 1

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.

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 Evaluate the following positive exponent examples:

What about other negative exponents? Any # raised to the power of zero is _____ Powers of 10: = 10,000,000, = __________________10 0 = __________________ 10 9 = 1,000,000, = __________________10 -1 = __________________ 10 8 = 100,000, = __________________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!!!!!!!!!

PRACTICE WORK NAME:________________________________________________________________________________DATE: _____/_____/__________ “exponents” Re-write the following powers using repeated multiplication: = __________________________________________________________________________________ = ___________________________________________________________________________________ = __________________________________________________________________________________ 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: = _______________________________________________________________________ Evaluate: