Presentation is loading. Please wait.

Presentation is loading. Please wait.

8.1 – Monomials & Factoring. Factoring Factoring – opposite of simplifying!

Similar presentations


Presentation on theme: "8.1 – Monomials & Factoring. Factoring Factoring – opposite of simplifying!"— Presentation transcript:

1 8.1 – Monomials & Factoring

2 Factoring

3 Factoring – opposite of simplifying!

4 Ex. Simplify 3(5)(7).

5 Factoring – opposite of simplifying! Ex. Simplify 3(5)(7). 15(7)

6 Factoring – opposite of simplifying! Ex. Simplify 3(5)(7). 15(7) 105

7 Factoring – opposite of simplifying! Ex. Simplify 3(5)(7). 15(7) 105 Ex. Factor 105.

8 Factoring – opposite of simplifying! Ex. Simplify 3(5)(7). 15(7) 105 Ex. Factor · 7

9 Factoring – opposite of simplifying! Ex. Simplify 3(5)(7). 15(7) 105 Ex. Factor · 7 3 · 5 · 7

10 2 Types of Numbers:

11 Prime

12 2 Types of Numbers: Prime – a whole number, greater than 1, whose only factors are 1 and itself

13 2 Types of Numbers: Prime – a whole number, greater than 1, whose only factors are 1 and itself Composite

14 2 Types of Numbers: Prime – a whole number, greater than 1, whose only factors are 1 and itself Composite – a whole number, greater than 1, that has more than two factors

15 2 Types of Numbers: Prime – a whole number, greater than 1, whose only factors are 1 and itself Composite – a whole number, greater than 1, that has more than two factors Ex. 1 Classify each as prime or composite

16 2 Types of Numbers: Prime – a whole number, greater than 1, whose only factors are 1 and itself Composite – a whole number, greater than 1, that has more than two factors Ex. 1 Classify each as prime or composite P

17 2 Types of Numbers: Prime – a whole number, greater than 1, whose only factors are 1 and itself Composite – a whole number, greater than 1, that has more than two factors Ex. 1 Classify each as prime or composite PC

18 2 Types of Numbers: Prime – a whole number, greater than 1, whose only factors are 1 and itself Composite – a whole number, greater than 1, that has more than two factors Ex. 1 Classify each as prime or composite PCP

19 2 Types of Numbers: Prime – a whole number, greater than 1, whose only factors are 1 and itself Composite – a whole number, greater than 1, that has more than two factors Ex. 1 Classify each as prime or composite PCPC

20 2 Types of Numbers: Prime – a whole number, greater than 1, whose only factors are 1 and itself Composite – a whole number, greater than 1, that has more than two factors Ex. 1 Classify each as prime or composite PCPCC

21 2 Types of Numbers: Prime – a whole number, greater than 1, whose only factors are 1 and itself Composite – a whole number, greater than 1, that has more than two factors Ex. 1 Classify each as prime or composite PCPCCP

22 2 Types of Numbers: Prime – a whole number, greater than 1, whose only factors are 1 and itself Composite – a whole number, greater than 1, that has more than two factors Ex. 1 Classify each as prime or composite PCPCCP *prime factorization

23 2 Types of Numbers: Prime – a whole number, greater than 1, whose only factors are 1 and itself Composite – a whole number, greater than 1, that has more than two factors Ex. 1 Classify each as prime or composite PCPCCP *prime factorization – when a whole number is expressed as the product of factors that are all prime numbers

24 Ex. 2 Find the prime factorization of the following:a. 90

25 9 · 10

26 Ex. 2 Find the prime factorization of the following:a · 10 3·3

27 Ex. 2 Find the prime factorization of the following:a · 10 3·3 2·5

28 Ex. 2 Find the prime factorization of the following:a · 10 3·3·2·5

29 Ex. 2 Find the prime factorization of the following:a · 10 3·3·2·5 b. -140

30 Ex. 2 Find the prime factorization of the following:a · 10 3·3·2·5 b · 140

31 Ex. 2 Find the prime factorization of the following:a · 10 3·3·2·5 b · · 14 · · 2·7 · 2·5

32 Ex. 2 Find the prime factorization of the following:a · 10 3·3·2·5 b · · 14 · · 2·7 · 2·5

33 Ex. 2 Find the prime factorization of the following: a · 10 3·3·2·5 b · · 14 · · 2·7 · 2·5 -1·2 2 ·5·7

34 Ex. 2 Find the prime factorization of the following: a · 10 3·3·2·5 b · · 14 · · 2·7 · 2·5 -1·2 2 ·5·7

35 *greatest common factor (GCF)

36 - the greatest number that is a factor of all numbers in the expression

37 *greatest common factor (GCF) - the greatest number that is a factor of all numbers in the expression

38 *greatest common factor (GCF) - the greatest number that is a factor of all numbers in the expression Ex. 3 Find the GCF of the following: a. 12 & 16

39 *greatest common factor (GCF) - the greatest number that is a factor of all numbers in the expression Ex. 3 Find the GCF of the following: a. 12 & 16 2·2·3 2·2·2·2

40 *greatest common factor (GCF) - the greatest number that is a factor of all numbers in the expression Ex. 3 Find the GCF of the following: a. 12 & 16 2·2·3 2·2·2·2

41 *greatest common factor (GCF) - the greatest number that is a factor of all numbers in the expression Ex. 3 Find the GCF of the following: a. 12 & 16 2·2·3 2·2·2·22·2

42 *greatest common factor (GCF) - the greatest number that is a factor of all numbers in the expression Ex. 3 Find the GCF of the following: a. 12 & 16 2·2·3 2·2·2·22·2 = 4

43 *greatest common factor (GCF) - the greatest number that is a factor of all numbers in the expression Ex. 3 Find the GCF of the following: a. 12 & 16 2·2·3 2·2·2·22·2 = 4 b. 29 & 38

44 *greatest common factor (GCF) - the greatest number that is a factor of all numbers in the expression Ex. 3 Find the GCF of the following: a. 12 & 16 2·2·3 2·2·2·22·2 = 4 b. 29 & 38 1·29 2·19

45 *greatest common factor (GCF) - the greatest number that is a factor of all numbers in the expression Ex. 3 Find the GCF of the following: a. 12 & 16 2·2·3 2·2·2·22·2 = 4 b. 29 & 38 1·29 2·19

46 *greatest common factor (GCF) - the greatest number that is a factor of all numbers in the expression Ex. 3 Find the GCF of the following: a. 12 & 16 2·2·3 2·2·2·22·2 = 4 b. 29 & 38 1·29 2·19N/A

47 *greatest common factor (GCF) - the greatest number that is a factor of all numbers in the expression Ex. 3 Find the GCF of the following: a. 12 & 16 2·2·3 2·2·2·22·2 = 4 b. 29 & 38 1·29 2·19N/A c. 36x 2 y & 56xy 2

48 *greatest common factor (GCF) - the greatest number that is a factor of all numbers in the expression Ex. 3 Find the GCF of the following: a. 12 & 16 2·2·3 2·2·2·22·2 = 4 b. 29 & 38 1·29 2·19N/A c. 36x 2 y & 56xy 2 2·2·3·3·x·x·y 2·2·2·7·x·y·y

49 *greatest common factor (GCF) - the greatest number that is a factor of all numbers in the expression Ex. 3 Find the GCF of the following: a. 12 & 16 2·2·3 2·2·2·22·2 = 4 b. 29 & 38 1·29 2·19N/A c. 36x 2 y & 56xy 2 2·2·3·3·x·x·y 2·2·2·7·x·y·y

50 *greatest common factor (GCF) - the greatest number that is a factor of all numbers in the expression Ex. 3 Find the GCF of the following: a. 12 & 16 2·2·3 2·2·2·22·2 = 4 b. 29 & 38 1·29 2·19N/A c. 36x 2 y & 56xy 2 2·2·3·3·x·x·y 2·2·2·7·x·y·y2·2·x·y

51 *greatest common factor (GCF) - the greatest number that is a factor of all numbers in the expression Ex. 3 Find the GCF of the following: a. 12 & 16 2·2·3 2·2·2·22·2 = 4 b. 29 & 38 1·29 2·19N/A c. 36x 2 y & 56xy 2 2·2·3·3·x·x·y 2·2·2·7·x·y·y2·2·x·y = 4xy


Download ppt "8.1 – Monomials & Factoring. Factoring Factoring – opposite of simplifying!"

Similar presentations


Ads by Google