Download 4-2 Prime Factorization 2016.notebook

4­2 Prime Factorization 2016.notebook
February 17, 2017
Daily Do from last class Homework Answers 4­1:
1. 113
5. a4
9. (­v)4
2. 28
6. n5
3. 51
7. 43
4. (­4)2 8. b6
10. x2z3
11. 25t2
12. m3np2 13. (1x101)+(3x100)
14. (1x 103) + (0 x 102) + (0 x 101) + (6 x 100)
Evaluate this expression:
15. (1 x 104) + (7x 103) + (6 x 102) + (2 x 101) + (9 x 100)
xr2 16. (8x102) + (9x101) + (7x100)
if x = 2 and r = ­3
17. ­8
18. 1
19. 16
20. 9
21. 729 22. 64
23. ­32
24. 0
26. 7
27. 23 or 8
25. 29
28. 210 or 1024
Lesson 4­2
PRIME
FACTORIZATION
1
4­2 Prime Factorization 2016.notebook
February 17, 2017
Objective: To be able to determine whether a number is prime or composite. To be able to write the prime factorization of a number or a monomial.
Virtue/Skill: We need to understand the prime factorization of numbers and monomials that we can factor polynomials to help us solve equations.
Prime number­ a whole number greater than one, that is only divisible by 1 and itself, there are no other whole number factors.
Composite number­ a whole number greater than one that has more than 2 whole number factors. 59
34
108
101
57
83
65
2
4­2 Prime Factorization 2016.notebook
February 17, 2017
Prime Factorization­ a composite number written as a product of prime numbers. (factor tree)
108
22 33
Write the prime factorization of 24. Use exponents for repeated factors.
24
24
3
4­2 Prime Factorization 2016.notebook
February 17, 2017
Write the prime factorization for the following numbers. Use exponents for repeated factors.
81
63
110
Monomials­ a single term made from a number, a variable, or a product of numbers and variables.
Negative coefficients­ can be factored by using ­1 as a factor.
Factor each monomial (write the prime factorization of each monomial)
8ab2
­30x3y
­16e2f3
10x2y
4
4­2 Prime Factorization 2016.notebook
February 17, 2017
Summary
Objective: To be able to determine whether a number is prime or composite. To be able to write the prime factorization of a number or a monomial.
Virtue/Skill: We need to understand the prime factorization of numbers and monomials that we can factor polynomials to help us solve equations.
Assignment: Workbook 4­2
Exit Question
Factor each monomial.
16p 3r4
­39a3bc2
5
4­2 Prime Factorization 2016.notebook
February 17, 2017
Homework
6