Download presentation

Presentation is loading. Please wait.

Published byBuddy Webster Modified over 2 years ago

1
Copyright 2014 Scott Storla Rational Numbers

2
Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime number Composite number Prime factorization Reciprocal

3
Reduce Copyright 2014 Scott Storla

4
The Rational Numbers Copyright 2014 Scott Storla

6
Irrational Numbers The real numbers which are not rational. Copyright 2014 Scott Storla Trying to find a rational number that’s equal to pi.

7
Fractions Copyright 2014 Scott Storla

8
Proper Fraction In a proper fraction the numerator (top) is less than the denominator (bottom). The value of a proper fraction will always be between 0 (inclusive) and 1 (exclusive). Copyright 2014 Scott Storla

9
Improper Fraction In an improper fraction the numerator (top) is greater than or equal to the denominator (bottom). The value of an improper fraction is greater than or equal to 1. Copyright 2014 Scott Storla

10
Mixed Number A mixed number is the sum of a positive integer and a proper fraction. Copyright 2014 Scott Storla

11
Writing a mixed number as an improper fraction The new numerator is the product of the denominator and natural number added to the numerator. The denominator remains the same. Copyright 2014 Scott Storla

12
Writing an improper fraction as a mixed number 1.Divide the numerator by the denominator. 2.The natural number is to the left of the decimal. 3.Subtract the product of the natural number and original denominator from the original numerator. This is the numerator of the proper faction. 4.The denominator of the proper fraction is the same as the original denominator. Copyright 2014 Scott Storla

13
Prime Factorization Copyright 2014 Scott Storla

14
Prime Number A natural number, greater than 1, which has unique natural number factors 1 and itself. Ex: 2, 3, 5, 7, 11, 13 Copyright 2014 Scott Storla

15
Composite Number A natural number, greater than 1, which is not prime. Ex: 4, 6, 8, 9, 10 Copyright 2014 Scott Storla

16
Prime Factorization Copyright 2014 Scott Storla

17
Prime Factorization To write a natural number as the product of prime factors. Ex: 12 = 2 x 2 x 3 Copyright 2014 Scott Storla

18
Factor Rules Copyright 2014 Scott Storla

19
Decide if 2, 3, and/or 5 is a factor of 42 310 987 4950 Copyright 2014 Scott Storla

20
List all positive integers between 51 and 61 inclusive. List all prime numbers between 51 and 61 inclusive. List all rational numbers with denominators of 1 between 110 and 120 inclusive. List all prime numbers between 110 and 120 inclusive. List all natural numbers between 31 and 40 inclusive. List all prime numbers between 31 and 40 inclusive. Copyright 2014 Scott Storla

21
Building a factor tree for 20 The prime factorization of 20 is 2 x 2 x 5. 20 45 2 2 Copyright 2014 Scott Storla

25
The prime factorization of 24 is 2 x 2 x 2 x 3. 24 2 12 Find the prime factorization of 24 2 6 2 3 Copyright 2014 Scott Storla

26
The prime factorization of 315 is 3 x 3 x 5 x 7. 315 5 63 Find the prime factorization of 315 3 21 7 3 Copyright 2014 Scott Storla

27
The prime factorization of 119 is 7 x 17. 119 7 17 Find the prime factorization of 119 Copyright 2014 Scott Storla

28
The prime factorization of 495 is 3 x 3 x 5 x 11. 495 5 99 Find the prime factorization of 495 9 11 3 Copyright 2014 Scott Storla

29
Prime Factorization Copyright 2014 Scott Storla

30
Reducing Fractions Copyright 2014 Scott Storla

32
Reducing Fractions A fraction is reduced when the numerator and denominator have no common factors other than 1. Copyright 2014 Scott Storla

33
Reducing Fractions A fraction is reduced when the numerator and denominator have no common factors other than 1. Copyright 2014 Scott Storla

34
No “Gozinta” method allowed Copyright 2014 Scott Storla

35
No “Gozinta” (Goes into) method allowed Copyright 2014 Scott Storla

36
No “Gozinta” (Goes into) method allowed Copyright 2014 Scott Storla

37
Simplify using prime factorization Copyright 2014 Scott Storla

38
Simplify using prime factorization Copyright 2014 Scott Storla

39
Simplify using prime factorization Copyright 2014 Scott Storla

40
Reduce using prime factorization Copyright 2014 Scott Storla

41
Reduce using prime factorization Copyright 2014 Scott Storla

42
Reduce using prime factorization Copyright 2014 Scott Storla

43
Reducing Fractions Copyright 2014 Scott Storla

44
Multiplying Fractions Copyright 2014 Scott Storla

45
No “Gozinta” method allowed Copyright 2014 Scott Storla

46
using prime factorizationMultiply Copyright 2014 Scott Storla

47
Procedure – Multiplying Fractions 1. Combine all the numerators, in prime factored form, in a single numerator. 2. Combine all the denominators, in prime factored form, in a single denominator. 3. Reduce common factors 4. Multiply the remaining factors in the numerator together and the remaining factors in the denominator together. Copyright 2014 Scott Storla

48
Multiply using prime factorization Copyright 2014 Scott Storla

49
Multiply using prime factorization Copyright 2014 Scott Storla

50
Multiply using prime factorization Copyright 2014 Scott Storla

51
Multiply using prime factorization Copyright 2014 Scott Storla

52
Multiplying Fractions Copyright 2014 Scott Storla

53
Dividing Fractions Copyright 2014 Scott Storla

54
Reciprocal The reciprocal of a number is a second number which when multiplied to the first gives a product of 1. Copyright 2014 Scott Storla

55
Procedure – Dividing Fractions 1.To divide two fractions multiply the fraction in the numerator by the reciprocal of the fraction in the denominator. Copyright 2014 Scott Storla

56
Procedure – Dividing Fractions 1.To divide two fractions multiply the fraction in the numerator by the reciprocal of the fraction in the denominator. Copyright 2014 Scott Storla

57
Divide using prime factorization Copyright 2014 Scott Storla

58
Divide using prime factorization Copyright 2014 Scott Storla

59
Divide using prime factorization Copyright 2014 Scott Storla

60
Divide using prime factorization Copyright 2014 Scott Storla

61
Dividing Fractions Copyright 2014 Scott Storla

Similar presentations

OK

LESSON 2 FRACTIONS. Learning Outcomes By the end of this lesson, students should be able to: ◦ Understand types of fractions. ◦ Convert improper fractions.

LESSON 2 FRACTIONS. Learning Outcomes By the end of this lesson, students should be able to: ◦ Understand types of fractions. ◦ Convert improper fractions.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on point contact diode operation Ppt on shell scripting tutorial pdf Ppt on economic growth and development in india Ppt on cross-sectional study meaning Ppt on sea level rise flood Ppt on leadership styles Ppt on energy crisis in india Ppt on gym management system Ppt on reduced instruction set computer Ppt on republic day of india 2012