Math 5
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This document discusses finding the greatest common factor (GCF) of two numbers. It defines factors as numbers that are multiplied to get a product, and common factors as factors shared between two numbers. The greatest common factor is the largest of the common factors. The document then describes three methods for finding the GCF: 1) listing all factors and identifying the greatest common, 2) using a factor tree to get the prime factorizations, and 3) continuously dividing the numbers until there is no more common division.
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This document discusses finding the common factors and greatest common factor (GCF) of two numbers. It provides examples of finding the common factors and GCF of 40 and 45 (which is 5), 13 and 15 (which is 1), and 18 and 24 (which is 6). To find the GCF, you list all the factors of each number, identify the common factors, and from those choose the greatest value as the GCF. While there may be multiple common factors, there is only one GCF.
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This document contains a lesson from Teacher Maribel on factors, multiples, common factors, and common multiples. It includes definitions and examples of factors, multiples, and how to find common factors and multiples between numbers. Students are given practice problems to find the factors of numbers, multiples of numbers, common factors between two numbers, and common multiples between two or more numbers.
sample ppt- Subject Introduction (2).pptx
The document discusses highest common factors (HCF) and lowest common multiples (LCM) of numbers. It provides examples of finding the HCF and LCM of different sets of numbers. The HCF is the largest number that divides evenly into all numbers. The LCM is the smallest number that all numbers divide evenly into. The document also discusses prime numbers and factoring numbers to find their HCF and LCM.
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The document discusses factors, common factors, and common divisors. It defines factors as numbers that are multiplied to get a product. Common factors are factors that are the same for two or more given numbers. Common factors can also be called common divisors because they divide the numbers with no remainder. The document provides examples of factors and common factors for the numbers 16 and 24 to illustrate these concepts.
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Lesson-27.pptx
Here are the steps to find the GCF of the numbers in each problem:
1) Write both numbers as products of their prime factors:
2 × 2 × 3 × 5
2 × 3 × 3 × 5
2) The common prime factors are: 2 × 3 × 5
3) Therefore, the GCF is 2 × 3 × 5 = 30
2) Write both numbers as products of their prime factors:
2 × 3 × 5 × 7
2 × 2 × 3 × 5 × 7
3) The common prime factors are: 2 × 3 × 5 × 7
4) Therefore, the GCF is 2 × 3 × 5 × 7 = 210
3) Write both numbers
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This document provides information and examples on finding the greatest common factor (GCF) of two or more numbers. It explains that the GCF is the largest factor that is common to the numbers. It then describes two methods for finding the GCF - using book ends by listing the factors of each number and circling the common ones, or using prime factorization by breaking the numbers down into their prime factors. Several worked examples are provided comparing the two methods. Finally, guided practice problems are given for the reader to find the GCF of different number sets.
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This document discusses finding the greatest common factor (GCF) of two or more numbers. It introduces two methods: using book ends by listing the factors of each number and circling the common factors, or using prime factorization by writing each number as a product of prime numbers and taking the common prime factors. Several examples are worked through using both methods. It emphasizes that the GCF is the largest factor that is common to all numbers. Guided practice problems are also included for finding the GCF of sets of numbers.
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This document discusses highest common factors (HCF) and lowest common multiples (LCM) of numbers. It defines multiples as numbers that are divisible by another number with no remainder. Common multiples contain each number a number of times. The lowest common multiple is the smallest number that is divisible by every number. To find the LCM, list the multiples of each number and find the lowest number common to all lists. Similarly, factors divide a number with no remainder, and the highest common factor is the largest factor common to all numbers. Examples are provided to demonstrate finding HCFs and LCMs.
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Here are the steps to find the GCF of the numbers in each problem:
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3) The common prime factors are: 2 × 3 × 5 × 7
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Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
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LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
This Dissertation explores the particular circumstances of Mirzapur, a region located in the
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diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
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changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
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- 2. What are factors? Factors are the numbers multiplied to get the product. Example: the factors of 12 are ; 1, 2, 3, 4, 6, 12 - 4 and 3 - 6 and 2 - 12 and 1
- 3. Common factors are those numbers that are factors of both numbers. Example: 12 : 1, 2, 3, 4, 6, 12 16 : 1, 2, 4, 8, 16 The common factors are 1 , 2 and 4. What are common factors?
- 4. Greatest Common Factor or GCF is the largest of the common factors. Example: 12 : 1, 2, 3, 4, 6, 12 16 : 1, 2, 4, 8, 16 The common factors are 1 , 2 and 4. The greatest common factor is 4. What is greatest common factor?
- 5. WAYS TO FIND GREATEST COMMON FACTOR 1. Listing Method In this method you are going to write down all the factors of the two numbers and identify the greatest common factor. Example: 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 56: 1, 2, 4, 7, 8, 14, 28, 56 Common factors: 1, 2, 4 GCF: 4
- 6. 2. Factor Tree In this method get the prime factorization of both numbers. 36: 2 x 2 x 3 x 3 56: 2 x 2 x 2 x 7
- 7. 3. Continuous Division In this method you are going to divide until there is no more common on both numbers.