Download presentation

Presentation is loading. Please wait.

Published byKelley Parks Modified about 1 year ago

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

Similar presentations

© 2016 SlidePlayer.com Inc.

All rights reserved.

Ads by Google