1 / 26

Transparency 1

Transparency 1. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 1-4b. Objective. Find the prime factorization of a composite number. Example 1-4b. Vocabulary. Prime number.

edna
Télécharger la présentation

Transparency 1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

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

  2. Splash Screen

  3. Example 1-4b Objective Find the prime factorization of a composite number

  4. Example 1-4b Vocabulary Prime number A whole number greater than 1 that has exactly two factors, 1 and itself

  5. Example 1-4b Vocabulary Composite number A whole number greater than 1 that has more than 2 factors

  6. Example 1-4b Vocabulary Prime factorization Expressing a composite number as a product of prime numbers

  7. Example 1-4b Vocabulary Factor tree A diagram showing the prime factorization of a number

  8. Example 1-4b Review Vocabulary Factors Two or more numbers that are multiplied together to form a product

  9. Lesson 1 Contents Example 1Identify Numbers as Prime or Composite Example 2Identify Numbers as Prime or Composite Example 3Find the Prime Factorization Example 4Factor an Algebraic Expression

  10. Example 1-1a Determine whether the number 63 is prime or composite. Write the number 63 All numbers (except 1) has 2 factors: 1 and the number itself 6 + 3 = 9 Determine if any number other than 1 and 63 are factors of 63 9  3 = 3 Remember divisibility rules: If the sum of the digits is divisible by 3 then the number is divisible by 3 63 is divisible by 3 so is not prime Answer: Composite 1/4

  11. Example 1-1b Determine whether the number 41 is prime or composite. Answer:prime 1/4

  12. Example 1-2a Determine whether the number 29 is prime or composite. Write the number 29 All numbers (except 1) has 2 factors: 1 and the number itself 2 + 9 = 11 Determine if any number other than 1 and 29 are factors of 29 Remember divisibility rules: If the sum of the digits is divisible by 3 then the number is divisible by 3 2/4

  13. Example 1-2a Determine whether the number 29 is prime or composite. Remember divisibility rules: 29 11 is not divisible by 3 so 29 is not divisible by 3 2 + 9 = 11 29 is not even so is not divisible by 2 Continue checking divisibility by prime numbers The one’s digit is not a 0 or 5 so is not divisible by 5 2/4

  14. Example 1-2a Determine whether the number 29 is prime or composite. Remember divisibility rules: 29 29 is not divisible by 7 because 7  4 = 28 2 + 9 = 11 29 is not divisible by 11 because 11  3 = 33 Since we have checked divisibility past 29 we have confirmed that 29 is a prime number Answer: Prime 2/4

  15. Example 1-2b Determine whether the number 24 is prime or composite. Answer:composite 2/4

  16. Example 1-3a Find the prime factorization of 100. Write number then use factorization ladder Decide on prime number that will go evenly into 100 2 100 50 2 Can use any prime factor like 2 or 5 5 25 5 Decide on prime number that will go evenly into 50 Decide on prime number that will go evenly into 25 5 is a prime number so you are done prime factoring 3/4

  17. Example 1-3a Find the prime factorization of 100. Write using prime numbers and exponents 2 100 Write the smallest prime number that was used 2 50 2 5 25 Circle the 2’s that were used 5 2 two’s were used so that is the exponent with the 2  Put the multiplication sign 2 2 3/4

  18. Example 1-3a Find the prime factorization of 100. Write the next smallest prime number which is 5 2 100 Circle the 5’s that were used 50 2 2 five's were used so that is the exponent with the 2 5 25 5 All prime numbers used have been circled so you are done!  2 5 2 2 Answer:22 52 3/4

  19. Example 1-3b Find the prime factorization of 72. Answer: 23 32 3/4

  20. ALGEBRA Factor Example 1-4a Write number then use factorization ladder Decide on prime number that will go evenly into 21 3 21m2n 7m2n 7 7 The prime number 3 will divide into 21 evenly Divide 21 by 3 Bring down m2n Decide on prime number that will go evenly into 7 The prime number 7 will divide into 7 evenly 4/4

  21. ALGEBRA Factor Example 1-4a Divide 7 into 7 then use the Identity Property to multiply 1  m2n 3 21m2n Since m2 = m  m, m can be a prime variable 7m2n 7 7 m m2n Divide m into m2 which will be m m mn m Bring down the n Remember a variable by itself is prime so use m as a prime 4/4

  22. ALGEBRA Factor Example 1-4a Divide m into mn which will leave n 3 21m2n 7m2n 7 7 The variable is a prime and is by itself so you are done prime factoring! m m2n m mn m n Now write the answer as factors 4/4

  23. ALGEBRA Factor Example 1-4a Write the smallest prime number which is 3 3 21m2n 7m2n Circle the 3 7 7 m m2n Since the direction say “factor” then do not use exponents m mn m n Put the multiplication sign Circle the next factor which is 7 and write it down 3 3  3  7  Put the multiplication sign 4/4

  24. ALGEBRA Factor Example 1-4a Circle the next factor which is m and write it down 3 21m2n 7m2n 7 7 Put the multiplication sign m m2n Circle the next factor which is m and write it down m mn m n Put the multiplication sign Answer: Circle the next factor which is n and write it down 3  7  m m  m  m m  m  m  m  n 4/4

  25. ALGEBRA Factor Answer: Example 1-4b * 4/4

  26. End of Lesson 1 Assignment

More Related