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Transparency 4. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 4-1a. Objective. Use powers and exponents in expressions. Example 4-1a. Vocabulary. Exponent The number of times the base is used as a factor 3 4

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  1. Transparency 4 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 4-1a Objective Use powers and exponents in expressions

  4. Example 4-1a Vocabulary Exponent The number of times the base is used as a factor 34 4 is the exponent telling you to multiply the base (3) times itself four times 3 · 3· 3· 3

  5. Example 4-1a Vocabulary Base The number used as a factor 34 3 is the base and you will multiply it times itself (factor) 3 · 3· 3· 3

  6. Example 4-1a Vocabulary Power Number expressed using exponents 34 Three to the power of 4 3 · 3· 3· 3

  7. Example 4-1a Vocabulary Squared The exponent representing the power of 2 32 This is read “three squared” 3 · 3

  8. Example 4-1a Vocabulary Cubed The exponent representing the power of 3 33 This is read “three cubed” 3 · 3· 3

  9. Lesson 4 Contents Example 1Write Powers and Products Example 2Write Powers and Products Example 3Use Powers to Solve a Problem Example 4Write Prime Factorization Using Exponents

  10. Write using an exponent. Then find the value of the power. Example 4-1a Write the problem 5  5  5  5 4 Since 5 is repeated with multiplication , write it as the base 5 The 5 is repeated four times, so write the exponent as 4 Now solve using the calculator 1/4

  11. Write using an exponent. Then find the value of the power. Answer: 625 Example 4-1a The base is 5 so put 5 in the calculator 5  5  5  5 4 5 Push the yx key on the calculator yx = 5 4 The exponent is 4 so put 4 in the calculator Push the = sign on the calculator 1/4

  12. Write using an exponent. Then find the value of the power. Example 4-1b 47 Answer: ; 16,384 1/4

  13. Write as a product. Then find the value of the product. Answer: 512 Example 4-2a Write problem 83 First write the product which means use multiplication signs The base is 8 so it will be repeated The exponent is 3 so repeat the 8 three times Now solve using the calculator 2/4

  14. Write as a product. Then find the value of the product. Example 4-2b Answer: 6  6  6  6 ; 1,296 2/4

  15. ELEVATIONSThe highest point in Utah is King’s Peak. It stands just a bit higher than meters. What is this elevation? Example 4-3a Write problem 46 Use calculator to solve Answer: 4,096 meters. 3/4

  16. SWIMMING POOLThe length of a new swimming pool being built at the community recreation center is listed as feet. What is the length of the new pool? Example 4-3b Answer: 64 feet 3/4

  17. Example 4-4a Write the prime factorization of 126 using exponents. Write the number 2 126 Draw prime factorization brackets Decide on a prime number that will go evenly into 126 The one’s digit is 6 which is divisible by 2 Place the prime number 2 to the left of the bracket 4/4

  18. Example 4-4a Write the prime factorization of 126 using exponents. Divide 126 by 2 and place the answer below the bracket 2 126 63 Determine if 63 is a prime number Since 63 is not an even number, try the divisibility rule for the prime number 3 6 + 3 = 9 and 9 is divisible by 3 so 63 is divisible by 3 4/4

  19. Example 4-4a Write the prime factorization of 126 using exponents. 63 is not prime so place another prime factorization bracket under 63 2 126 3 63 Since 63 is divisible by 3, place the 3 to the left of the bracket 21 Divide 63 by 3 and place the answer below the bracket Determine if 21 is a prime number 4/4

  20. Example 4-4a Write the prime factorization of 126 using exponents. Since 21 is not an even number, try the divisibility rule for the prime number 3 2 126 3 63 3 21 2 + 1 = 3 and 3 is divisible by 3 so 21 is divisible by 3 21 is not prime so place another prime factorization bracket under 21 Since 21 is divisible by 3, place the 3 to the left of the bracket 4/4

  21. Example 4-4a Write the prime factorization of 126 using exponents. Divide 21 by 3 and place the answer below the bracket 2 126 3 63 3 21 Determine if 7 is a prime number 7 The factors of 7 are 1 and 7 7 fits the definition of a prime number Finished prime factoring so now write answer using exponents 4/4

  22. Example 4-4a Write the prime factorization of 126 using exponents. Write the smallest prime number which in this case is 2 2 126 3 63 Circle all the 2’s that were used in prime factoring, counting as you go 3 21 7 Since there is only 1 two , do not put an exponent 2 4/4

  23. Example 4-4a Write the prime factorization of 126 using exponents. Next put a multiplication sign 2 126 Note: Do not use “x” for multiplication 3 63 3 21 Write the next smallest prime number which in this case is 3 7 Circle all the 3’s that were used in prime factoring, counting as you go  2 3 4/4

  24. Example 4-4a Write the prime factorization of 126 using exponents. Since there are 2 threes , put an exponent of 2 2 126 3 63 Next put a multiplication sign 3 21 7 Write the next smallest prime number which in this case is 7 2   7 2 3 4/4

  25. Example 4-4a Write the prime factorization of 126 using exponents. Circle all the 7’s that were used in prime factoring, counting as you go 2 126 3 63 3 21 Since there is only 1 seven , do not put an exponent 7 2   7 2 3 Answer: 4/4

  26. Example 4-4b * Write the prime factorization of 144 using exponents. Answer: 24 32 4/4

  27. End of Lesson 4 Assignment

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