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FACTORS, POWERS AND SQUARE ROOTS

In this unit, you will begin with a review of factors, prime numbers, and prime factorization. You will then work through perfect squares and square roots. The perfect squares should be numbers that you commit to memory, as this memorization will lead you to quick answers later. You may wish to create flashcards with the answers on the back to assist in your memorization. You can keep the cards and practice anytime. You will also apply your knowledge of square roots and estimation to approximate non-perfect square roots. You will also multiply and divide expressions involving exponents with a common base, take a power to a power, and take positive rational numbers to whole-number powers.

  What is an Integer Exponent? (02:17)

 

 Introduction (02:09)

 

 Tree Diagrams and Prime Factorization (04:29)
 

 Squares and Square Roots (06:30)
 

 

 The First Rule of Exponents: When to Add Exponents (01:21)
 

 

 The Second Rule of Exponents: When to Subtract Exponents (01:08)

 
 
  Rules of Exponents (10:47)
 

Review Worksheets
The review worksheets are provided to give extra practice in skill areas presented in the unit. The worksheets are optional unless otherwise specified by the instructor. The worksheets are Adobe Acrobat files. Click on the pencil icon to open the document. Save the document to a folder on the computer, and then enter answers for the problems in the textboxes. Once the document is completed, make sure to save it again, and then send the document to the instructor via email. The answer key provided is for the instructors only and is password protected.

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Practice Worksheet: Evaluate Exponents

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Practice Worksheet: Find Prime Numbers Less Than 100

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Practice Worksheet: Prime or Composite

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Practice Worksheet: Prime Factorization

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Practice Worksheet: Multiply Exponents

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Practice Worksheet: Divide Exponents

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