Greatest Common Factor
•Download as PPTX, PDF•
0 likes•98 views
A multiple is a number that is evenly divisible by another number. Every number has an infinite number of multiples. Multiples are created in pairs of factors and multiplication tables list multiples. The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both. To find the LCM, list the multiples of each number in increasing order and the LCM is the first number they have in common. A prime number is only divisible by 1 and itself, with no other factors. Prime numbers are the foundation of all other numbers. The greatest common factor (GCF) of two numbers is the largest factor that divides both numbers. To find the GCF, list all the factors of each number and
Report
Share
Report
Share
Recommended
Factors, multiples and primes
This document discusses factors, multiples, primes, lowest common multiples (LCM), and highest common factors (HCF). It provides examples and exercises on determining if a number is a multiple, factor, or prime. It also demonstrates how to find the LCM and HCF of two or more numbers, including using Venn diagrams to show the overlapping prime factors. Readers learn to write numbers as a product of prime factors using factor trees.
Highest common factor and lowest common multiple
This document introduces the concepts of the highest common factor (HCF) and lowest common multiple (LCM) of two numbers. It explains that the HCF is the largest number that divides both numbers, while the LCM is the smallest number that is a multiple of both numbers. Examples are provided to illustrate finding the HCF and LCM through listing factors or prime factorizations. Finally, exercises are given for the reader to practice calculating the HCF and LCM of number pairs.
Mathematics for Grade 6: Prime Factorization - HCF
http://bit.ly/1LTzAo6
This video explains the term, highest common factor or HCF. It is a continuation of the video on factors. For the full FREE lesson on prime factorization and HCF, please visit http://bit.ly/1LTzAo6
Ch. 5.1 - Least Common Multiple
The document discusses finding the least common multiple (LCM) of numbers. It provides examples of finding the LCM of pairs of numbers by listing their multiples and finding the smallest number that is a multiple of both. It also introduces finding the LCM using prime factorizations and Venn diagrams, showing how to find the greatest power of each prime factor and multiply them to get the LCM. Students are given practice problems to find the LCM of various number pairs using these methods.
Ppt On Lcm & Hcf Questions For Cat Preparation
This PPT tells you how to tackle with questions based on LCM & HCF in CAT 2009. Ample of PPTs of this type on every topic of CAT 2009 are available on www.tcyonline.com
Mathematics
The document provides an overview of various mathematical concepts including writing equations from sentences, order of operations, perfect squares, factors, greatest common factor, real numbers, adding and subtracting integers, and dividing/multiplying integers. It also discusses number roots such as square roots and cubed roots. Examples are given for each concept to illustrate the key ideas and processes.
2nd9 Interim Review Pp
A prime number is a whole number greater than 1 that is only divisible by 1 and itself. Examples of prime numbers are 2, 3, 5. A composite number is a whole number that has more than two factors. Examples of composite numbers are 4, 6, 9.
The divisibility rules for 3, 4, 6, 9, 10 are: a number is divisible by 3 if the sum of its digits is divisible by 3; a number is divisible by 4 if the last two digits are divisible by 4; a number is divisible by 6 if it is divisible by both 2 and 3; a number is divisible by 9 if the sum of its digits is divisible by 9; a number is divisible by 10 if
Least common multiple (lcm) & greatest
This document discusses different methods for finding the least common multiple (LCM) of two or more numbers. It explains that the LCM is the smallest number that the given numbers will all divide into evenly. Then it describes four methods: multiplication, prime factorization, Venn diagrams, and using the greatest common factor (GCF). For each method it provides an example of finding the LCM of 24 and 18, and the answer is consistently 72.
Recommended
Factors, multiples and primes
This document discusses factors, multiples, primes, lowest common multiples (LCM), and highest common factors (HCF). It provides examples and exercises on determining if a number is a multiple, factor, or prime. It also demonstrates how to find the LCM and HCF of two or more numbers, including using Venn diagrams to show the overlapping prime factors. Readers learn to write numbers as a product of prime factors using factor trees.
Highest common factor and lowest common multiple
This document introduces the concepts of the highest common factor (HCF) and lowest common multiple (LCM) of two numbers. It explains that the HCF is the largest number that divides both numbers, while the LCM is the smallest number that is a multiple of both numbers. Examples are provided to illustrate finding the HCF and LCM through listing factors or prime factorizations. Finally, exercises are given for the reader to practice calculating the HCF and LCM of number pairs.
Mathematics for Grade 6: Prime Factorization - HCF
http://bit.ly/1LTzAo6
This video explains the term, highest common factor or HCF. It is a continuation of the video on factors. For the full FREE lesson on prime factorization and HCF, please visit http://bit.ly/1LTzAo6
Ch. 5.1 - Least Common Multiple
The document discusses finding the least common multiple (LCM) of numbers. It provides examples of finding the LCM of pairs of numbers by listing their multiples and finding the smallest number that is a multiple of both. It also introduces finding the LCM using prime factorizations and Venn diagrams, showing how to find the greatest power of each prime factor and multiply them to get the LCM. Students are given practice problems to find the LCM of various number pairs using these methods.
Ppt On Lcm & Hcf Questions For Cat Preparation
This PPT tells you how to tackle with questions based on LCM & HCF in CAT 2009. Ample of PPTs of this type on every topic of CAT 2009 are available on www.tcyonline.com
Mathematics
The document provides an overview of various mathematical concepts including writing equations from sentences, order of operations, perfect squares, factors, greatest common factor, real numbers, adding and subtracting integers, and dividing/multiplying integers. It also discusses number roots such as square roots and cubed roots. Examples are given for each concept to illustrate the key ideas and processes.
2nd9 Interim Review Pp
A prime number is a whole number greater than 1 that is only divisible by 1 and itself. Examples of prime numbers are 2, 3, 5. A composite number is a whole number that has more than two factors. Examples of composite numbers are 4, 6, 9.
The divisibility rules for 3, 4, 6, 9, 10 are: a number is divisible by 3 if the sum of its digits is divisible by 3; a number is divisible by 4 if the last two digits are divisible by 4; a number is divisible by 6 if it is divisible by both 2 and 3; a number is divisible by 9 if the sum of its digits is divisible by 9; a number is divisible by 10 if
Least common multiple (lcm) & greatest
This document discusses different methods for finding the least common multiple (LCM) of two or more numbers. It explains that the LCM is the smallest number that the given numbers will all divide into evenly. Then it describes four methods: multiplication, prime factorization, Venn diagrams, and using the greatest common factor (GCF). For each method it provides an example of finding the LCM of 24 and 18, and the answer is consistently 72.
Bodmas
This document explains the order of operations in mathematics (BODMAS) and how to use it to evaluate expressions correctly. BODMAS stands for Brackets, Orders (exponents), Division, Multiplication, Addition, Subtraction - operations should be performed in that left-to-right order. Brackets contain operations that must be calculated first. Then exponents, followed by division and multiplication from left to right. Finally, addition and subtraction are calculated from left to right. Examples are provided to illustrate applying BODMAS correctly versus incorrectly.
presentation of probability
Presentation of probability, addition rule presentation, multiplication rule presentation, conditional rule presentation
Hcf & lcm worksheet
This document provides examples of calculating the highest common factor (HCF) and lowest common multiple (LCM) of various number sets. It includes 11 problems for finding the HCF of number sets, 11 problems for finding the LCM of other number sets, and an extension question about identifying perfect numbers.
Numerical Aptitude
This document discusses ratios, proportions, and solving related mathematical problems. It begins by defining a ratio as a fraction comparing two quantities with the same units. It then defines proportion as the equality of two ratios, and provides examples of finding fourth, third, and mean proportionals. The remainder of the document consists of worked examples solving ratio and proportion word problems, such as dividing a quantity into a given ratio, finding the number of coins of different denominations in a mixture, and determining the amount of alcohol in a mixture based on changes in ratios.
Power point (Tugasan Teknologi Pendidikan)
This document discusses directed numbers including integers, fractions, and decimals. It covers topics like multiplication and division of integers, following order of operations, comparing and ordering fractions and decimals, and performing computations with directed numbers. Key points include: integers can be positive or negative; like signs in integer multiplication/division yield positive results while unlike signs yield negative results; fractions and decimals can be positive or negative depending on their value; and computations with directed numbers must follow standard order of operations.
Common Multiples and Common Factors
This document discusses determining common multiples and common factors of numbers. It explains that the common multiples of two numbers are the multiples that are shared between the two lists of all their individual multiples. The least common multiple is the smallest number that is a multiple of both numbers. It also explains that common factors are factors that two numbers have in common, and these can be determined by making lists of all the factors of each number and looking for the ones they share. A Venn diagram can also be used to visualize common factors between two numbers.
Common Multiples and Least Common Multiple
The document explains how to find the least common multiple (LCM) of two numbers. It defines key terms like product, multiple, and common multiple. It then provides examples of finding the LCM of 3 and 6, 9 and 12, and 4 and 6. For each example, it lists the multiples of each number, circles the common multiples, and identifies the smallest common multiple as the LCM. The overall process is to list multiples, identify common multiples, and select the smallest value from the common multiples as the LCM.
Chapter2.6
The document provides examples and instructions for adding and subtracting fractions with unlike denominators using two different methods:
1) Find a common denominator by multiplying the denominators or finding the least common denominator. Then add or subtract the numerators and keep the common denominator.
2) Write the prime factorization of each denominator, circle the common factors, and use those factors to find the lowest common denominator. Then multiply fractions to equivalent fractions with the common denominator before adding or subtracting.
3) An example problem walks through subtracting amounts of ribbon from a total length to find the amount left over.
1150 day 11
Ratios, proportions, and percents can be used to compare quantities and solve problems. A ratio compares two quantities, like the number of squares to circles. Equal ratios form a proportion, which can be used to solve for unknown values. Percents represent a number out of 100. Common percent calculations include finding a percent of a number and converting between fractions, decimals, and percents. The percent proportion states that the percent equals the part divided by the whole quantity.
Factors And Primes
This document discusses lowest common multiples, factors, highest common factors, and prime numbers. It provides examples of finding the LCM and HCF of various number pairs. It defines a factor as a number that divides evenly into another number. Prime numbers are defined as numbers divisible only by 1 and themselves. Examples are given of listing the prime factors of different numbers.
Test yourself unit 1 foundation qs
This document defines and provides examples of statistical concepts including:
- Mean, mode, and median calculations for data sets
- Probability, pie charts, range, correlation, and lines of best fit
- Order of operations, adding and subtracting fractions, rounding, and multiplying fractions
- Simplifying ratios and sharing amounts in given ratios
Ratio And Proportion For Aptitude Tests
This document provides solutions to ratio and proportion problems along with explanations. Some key points:
- The ratio of 4:9, 3:4, and 2:3 and 9:7 compounded is 2:21
- If ratio is 7:10 and difference is 105, the numbers are 245 and 350
- Given ratios of P:Q and P:R, the ratio of Q:R is 27:22
- Given ratio of X:Y and values of X^2Y + XY^2 and X^3 + Y^3, the ratio is 84:91
- Given ratios and one speed, the speed of the other train can be calculated
- To make the ratios 19:
Digital textbook
This document provides an overview of negative numbers and arithmetic operations involving negative numbers. It begins with definitions of negative numbers and how they are represented on the number line with positive numbers to the right of zero and negative numbers to the left. It then explains the rules for addition, subtraction, multiplication, and division of negative numbers. For example, multiplying two negative numbers yields a positive number. It also discusses the concept of negation, where the negation of a positive number is its negative counterpart.
Add & subtract mixed numbers
The document discusses mixed numbers and how to add and convert fractions. It explains that a mixed number has a whole number part and fractional part. It provides examples of finding common denominators and equivalent fractions to add fractions with different denominators. It demonstrates how to convert improper fractions to mixed numbers.
Questions on ratio and proportion
This document provides lessons and examples on ratio and proportion concepts to help students with analytical skills. It includes solved examples of ratio and proportion word problems. The document was created by Dr. T.K. Jain for free online entrepreneurship programs. It encourages students to help spread knowledge and social entrepreneurship. Links are provided to download additional free study materials on various topics.
Quiz linear equation in one variable
This document appears to be a quiz on linear equations in one variable. It contains 20 multiple choice questions testing concepts like: transposing terms, identifying the highest power of a variable, determining the solution of an equation, identifying linear vs non-linear equations, and solving word problems that can be represented by linear equations. It also contains 17 statements to identify as true or false.
7.3.2 finding the percent (of a number)
The document provides examples and practice problems for calculating percentages using proportions. It gives examples of finding the percentage that a part is of a total, such as 1/2 is 50% and 3/4 is 75%. Students are asked to set up and solve proportions to find percentages for problems like "19 is what percent of 95" and "16 out of 20 people prefer debit cards, what percent prefers debit?" The document emphasizes setting up accurate proportions to calculate unknown percentages.
Arithmetic 2
This is Arithmetic two. It is about Prime factorisation. It contains the explanation of factors, prime factors, how prime factors are obtained, highest common factor (HCF), lowest common multiple (LCM), and rounding integers.
Percentages
This document provides an overview of ratios, proportions, and percentages. It defines a ratio as a comparison of numbers expressed as a fraction. Proportions are statements that two ratios are equal. To solve proportions, terms are cross multiplied. Percentages express a number out of 100. To convert between fractions, decimals, and percentages, the decimal is moved or the number is divided by the total. Percent problems involve finding a percentage of a given number.
All Problems.pdf
The problem asks to find the first ten digits of the sum of 100 50-digit numbers. It provides the 100 numbers. The numbers are summed and the first ten digits of the very large resulting sum are reported as the answer.
Multiples and Common Multiples
The document discusses multiples and factors. It defines multiples as the products when a number is multiplied by 1, 2, 3, and so on. The multiples of a number can be divided by that number with no remainder. It then lists the first 12 multiples of 3 as 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36. The document also discusses common multiples, which are numbers that are multiples of all numbers given, such as the common multiples of 2 and 3 being 6, 12, and 24.
Math Review.pdf
This document provides a summary of 42 exercise worksheets covering topics in mathematics from whole numbers to geometry. The worksheets are organized into sections including whole numbers, fractions, decimals, ratios & percents, statistics, real numbers, algebra, and geometry. Each worksheet provides multiple problems for students to practice specific skills like adding, subtracting, multiplying, and dividing various number types. The document also includes copyright information for the worksheets.
More Related Content
What's hot
Bodmas
This document explains the order of operations in mathematics (BODMAS) and how to use it to evaluate expressions correctly. BODMAS stands for Brackets, Orders (exponents), Division, Multiplication, Addition, Subtraction - operations should be performed in that left-to-right order. Brackets contain operations that must be calculated first. Then exponents, followed by division and multiplication from left to right. Finally, addition and subtraction are calculated from left to right. Examples are provided to illustrate applying BODMAS correctly versus incorrectly.
presentation of probability
Presentation of probability, addition rule presentation, multiplication rule presentation, conditional rule presentation
Hcf & lcm worksheet
This document provides examples of calculating the highest common factor (HCF) and lowest common multiple (LCM) of various number sets. It includes 11 problems for finding the HCF of number sets, 11 problems for finding the LCM of other number sets, and an extension question about identifying perfect numbers.
Numerical Aptitude
This document discusses ratios, proportions, and solving related mathematical problems. It begins by defining a ratio as a fraction comparing two quantities with the same units. It then defines proportion as the equality of two ratios, and provides examples of finding fourth, third, and mean proportionals. The remainder of the document consists of worked examples solving ratio and proportion word problems, such as dividing a quantity into a given ratio, finding the number of coins of different denominations in a mixture, and determining the amount of alcohol in a mixture based on changes in ratios.
Power point (Tugasan Teknologi Pendidikan)
This document discusses directed numbers including integers, fractions, and decimals. It covers topics like multiplication and division of integers, following order of operations, comparing and ordering fractions and decimals, and performing computations with directed numbers. Key points include: integers can be positive or negative; like signs in integer multiplication/division yield positive results while unlike signs yield negative results; fractions and decimals can be positive or negative depending on their value; and computations with directed numbers must follow standard order of operations.
Common Multiples and Common Factors
This document discusses determining common multiples and common factors of numbers. It explains that the common multiples of two numbers are the multiples that are shared between the two lists of all their individual multiples. The least common multiple is the smallest number that is a multiple of both numbers. It also explains that common factors are factors that two numbers have in common, and these can be determined by making lists of all the factors of each number and looking for the ones they share. A Venn diagram can also be used to visualize common factors between two numbers.
Common Multiples and Least Common Multiple
The document explains how to find the least common multiple (LCM) of two numbers. It defines key terms like product, multiple, and common multiple. It then provides examples of finding the LCM of 3 and 6, 9 and 12, and 4 and 6. For each example, it lists the multiples of each number, circles the common multiples, and identifies the smallest common multiple as the LCM. The overall process is to list multiples, identify common multiples, and select the smallest value from the common multiples as the LCM.
Chapter2.6
The document provides examples and instructions for adding and subtracting fractions with unlike denominators using two different methods:
1) Find a common denominator by multiplying the denominators or finding the least common denominator. Then add or subtract the numerators and keep the common denominator.
2) Write the prime factorization of each denominator, circle the common factors, and use those factors to find the lowest common denominator. Then multiply fractions to equivalent fractions with the common denominator before adding or subtracting.
3) An example problem walks through subtracting amounts of ribbon from a total length to find the amount left over.
1150 day 11
Ratios, proportions, and percents can be used to compare quantities and solve problems. A ratio compares two quantities, like the number of squares to circles. Equal ratios form a proportion, which can be used to solve for unknown values. Percents represent a number out of 100. Common percent calculations include finding a percent of a number and converting between fractions, decimals, and percents. The percent proportion states that the percent equals the part divided by the whole quantity.
Factors And Primes
This document discusses lowest common multiples, factors, highest common factors, and prime numbers. It provides examples of finding the LCM and HCF of various number pairs. It defines a factor as a number that divides evenly into another number. Prime numbers are defined as numbers divisible only by 1 and themselves. Examples are given of listing the prime factors of different numbers.
Test yourself unit 1 foundation qs
This document defines and provides examples of statistical concepts including:
- Mean, mode, and median calculations for data sets
- Probability, pie charts, range, correlation, and lines of best fit
- Order of operations, adding and subtracting fractions, rounding, and multiplying fractions
- Simplifying ratios and sharing amounts in given ratios
Ratio And Proportion For Aptitude Tests
This document provides solutions to ratio and proportion problems along with explanations. Some key points:
- The ratio of 4:9, 3:4, and 2:3 and 9:7 compounded is 2:21
- If ratio is 7:10 and difference is 105, the numbers are 245 and 350
- Given ratios of P:Q and P:R, the ratio of Q:R is 27:22
- Given ratio of X:Y and values of X^2Y + XY^2 and X^3 + Y^3, the ratio is 84:91
- Given ratios and one speed, the speed of the other train can be calculated
- To make the ratios 19:
Digital textbook
This document provides an overview of negative numbers and arithmetic operations involving negative numbers. It begins with definitions of negative numbers and how they are represented on the number line with positive numbers to the right of zero and negative numbers to the left. It then explains the rules for addition, subtraction, multiplication, and division of negative numbers. For example, multiplying two negative numbers yields a positive number. It also discusses the concept of negation, where the negation of a positive number is its negative counterpart.
Add & subtract mixed numbers
The document discusses mixed numbers and how to add and convert fractions. It explains that a mixed number has a whole number part and fractional part. It provides examples of finding common denominators and equivalent fractions to add fractions with different denominators. It demonstrates how to convert improper fractions to mixed numbers.
Questions on ratio and proportion
This document provides lessons and examples on ratio and proportion concepts to help students with analytical skills. It includes solved examples of ratio and proportion word problems. The document was created by Dr. T.K. Jain for free online entrepreneurship programs. It encourages students to help spread knowledge and social entrepreneurship. Links are provided to download additional free study materials on various topics.
Quiz linear equation in one variable
This document appears to be a quiz on linear equations in one variable. It contains 20 multiple choice questions testing concepts like: transposing terms, identifying the highest power of a variable, determining the solution of an equation, identifying linear vs non-linear equations, and solving word problems that can be represented by linear equations. It also contains 17 statements to identify as true or false.
7.3.2 finding the percent (of a number)
The document provides examples and practice problems for calculating percentages using proportions. It gives examples of finding the percentage that a part is of a total, such as 1/2 is 50% and 3/4 is 75%. Students are asked to set up and solve proportions to find percentages for problems like "19 is what percent of 95" and "16 out of 20 people prefer debit cards, what percent prefers debit?" The document emphasizes setting up accurate proportions to calculate unknown percentages.
Arithmetic 2
This is Arithmetic two. It is about Prime factorisation. It contains the explanation of factors, prime factors, how prime factors are obtained, highest common factor (HCF), lowest common multiple (LCM), and rounding integers.
Percentages
This document provides an overview of ratios, proportions, and percentages. It defines a ratio as a comparison of numbers expressed as a fraction. Proportions are statements that two ratios are equal. To solve proportions, terms are cross multiplied. Percentages express a number out of 100. To convert between fractions, decimals, and percentages, the decimal is moved or the number is divided by the total. Percent problems involve finding a percentage of a given number.
What's hot (19)
Similar to Greatest Common Factor
All Problems.pdf
The problem asks to find the first ten digits of the sum of 100 50-digit numbers. It provides the 100 numbers. The numbers are summed and the first ten digits of the very large resulting sum are reported as the answer.
Multiples and Common Multiples
The document discusses multiples and factors. It defines multiples as the products when a number is multiplied by 1, 2, 3, and so on. The multiples of a number can be divided by that number with no remainder. It then lists the first 12 multiples of 3 as 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36. The document also discusses common multiples, which are numbers that are multiples of all numbers given, such as the common multiples of 2 and 3 being 6, 12, and 24.
Math Review.pdf
This document provides a summary of 42 exercise worksheets covering topics in mathematics from whole numbers to geometry. The worksheets are organized into sections including whole numbers, fractions, decimals, ratios & percents, statistics, real numbers, algebra, and geometry. Each worksheet provides multiple problems for students to practice specific skills like adding, subtracting, multiplying, and dividing various number types. The document also includes copyright information for the worksheets.
Math review
This document provides a summary of 42 exercise worksheets covering topics in mathematics from whole numbers to geometry. The worksheets are organized into sections including whole numbers, fractions, decimals, ratios & percents, statistics, real numbers, algebra, and geometry. Each worksheet provides multiple problems for students to practice specific math skills such as adding, subtracting, multiplying, and dividing various number types.
Whole Numbers, Fractions, Decimals, Ratios & Percents, Statistics, Real Numbe...
This document provides a summary of 42 exercise worksheets covering topics in mathematics from whole numbers to geometry. The worksheets are organized into sections including whole numbers, fractions, decimals, ratios and percents, statistics, real numbers, algebra, and geometry. Each worksheet contains multiple problems for students to practice specific skills such as adding, subtracting, multiplying, and dividing various number types.
Ciii. lesson-4-least-common-multiple
This document discusses finding the least common multiple (LCM) of sets of numbers. It begins with examples of finding the LCM of various number pairs and sets. These examples illustrate finding the prime factors of each number and identifying the smallest number that is a multiple of all numbers as their LCM. The document then provides practice problems for readers to identify the LCM of additional number sets. It concludes by recapping that the LCM is the smallest number that is divisible by all numbers in the set.
Factors And Primes
This document discusses lowest common multiples, factors, highest common factors, and prime numbers. It provides examples of finding the LCM and HCF of various number pairs. It defines a factor as a number that divides evenly into another number. Prime numbers are defined as numbers divisible only by 1 and themselves. Examples are given of listing the prime factors of different numbers.
C3 Ch02 01
The document provides examples and explanations for working with rational numbers, including:
- Simplifying fractions by dividing the numerator and denominator by common factors
- Writing decimals as fractions by identifying the place value of the last digit
- Writing fractions as decimals by dividing the numerator by the denominator
It includes practice problems for students to simplify fractions, write decimals as fractions, and write fractions as decimals. The quiz at the end tests these skills.
Multiples
Multiples of a number are the products obtained when that number is multiplied by 1, 2, 3, and so on. Multiples can be found by skip counting or using a multiplication table and are numbers that are evenly divisible by the original number without a remainder. The document provides examples of finding the first ten multiples of 3 by multiplication and identifies multiples of other numbers using a hundreds chart.
Factors and multiples
This document provides a tutorial on factors and multiples in GCSE Maths. It defines factors as numbers that divide evenly into a given number, and multiples as numbers that the given number divides into evenly. The document explains how to find common factors and common multiples between two numbers. It also introduces prime factorization, using factor trees to break numbers down into their prime factors. Several practice problems are provided to reinforce these concepts.
CLASS V MATHS PATTERN
1) The document shows patterns of multiples of numbers (2, 3, 4, etc.) on 6x6 grids.
2) It examines patterns in the sums of consecutive numbers, finding that sums of 3 consecutive numbers are multiples of 3, and sums of 4 consecutive numbers increase by 4s.
3) The document prompts the reader to find patterns in sums of other consecutive numbers (5, 6, etc.) and sums of odd numbers in sets of 10, 13, and 22.
2019 MTAP -Session 1 Grade 6.ppt
The document outlines a mathematics tutorial for 6th graders focusing on the whole number system. It starts with a pre-test on topics such as place
Finds the common multiples and the least common demo teach
The document outlines a lesson plan on finding common multiples and least common multiples (LCM) using different methods. It explains key terms like LCM, common, and multiple. Examples are given to demonstrate finding the LCM through listing common multiples, factor trees, or continuous division. Practice problems are provided for students to find the LCM of
Math for 800 04 integers, fractions and percents
This document provides information about integers, even and odd numbers, consecutive numbers, prime numbers, factors and divisors, fractions, and operations with fractions such as addition and subtraction. It defines key terms and provides examples. Sections include integers and their values, properties of even and odd numbers, consecutive integers, prime numbers and tests for divisibility. Later sections cover factors and divisors, prime factorization, greatest common factor (GCF), least common multiple (LCM), remainders, and equivalent fractions.
Math journal wk 10
This document summarizes a student's math journal entries for one week. It includes warm-up problems and quick fact questions for each day, along with vocabulary definitions and lessons on circle graphs and pictographs. Key topics covered are factors, multiples, even/odd numbers, prime/composite numbers, and how to read and create circle graphs and pictographs to display data.
Math.6 chapter 3 factors
This document discusses factors, division, and prime numbers. It provides examples of dividing numbers and determining factors. A number is prime if it has only two factors - 1 and itself. The document also introduces the concepts of greatest common divisor (GCD) and least common multiple (LCM), providing examples of finding the GCD and LCM of pairs of numbers. Exercises are included for readers to find the GCD and LCM of additional number pairs.
Australian 6 Assessment Sample
This document provides information about an assessment pack for Year 6 mathematics from TeeJay Publishers. It includes:
- 19 assessments that match the content of each chapter in the Year 6 textbook.
- Six block assessments that are cumulative and cover the main outcomes in number, fractions/decimals, measurement, geometry, algebra, and statistics/probability.
- A final end-of-year diagnostic assessment with write-on and non-write-on versions.
- A complete set of answers for the assessments.
The assessments are meant to be used with TeeJay's Year 6 textbook, course planner, and homework support pack.
Basic Math review sheet.pdf
The document provides review sheets for a basic mathematics course covering key concepts in whole numbers, fractions, decimals, and mixed numbers. It lists over 60 review questions addressing skills like operations, word problems, rounding, order of operations, exponents, prime factorization, and conversions between fractions and decimals. The purpose is to help students refresh their math skills and determine the appropriate level course to begin study.
Mth10revsheets (1)
A Summary of Concepts Needed to be Successful in Mathematics
The following sheets list the key concepts that are taught in the specified math course. The sheets
present concepts in the order they are taught and give examples of their use.
WHY THESE SHEETS ARE USEFUL –
• To help refresh your memory on old math skills you may have forgotten.
• To prepare for math placement test.
• To help you decide which math course is best for you.
Math for 800 03 real numbers
Real Numbers for GMAT, GRE , SAT.
- Number Properties
- Real Numbers
- Number Line
- Basic Operations
Similar to Greatest Common Factor (20)
Whole Numbers, Fractions, Decimals, Ratios & Percents, Statistics, Real Numbe...
Whole Numbers, Fractions, Decimals, Ratios & Percents, Statistics, Real Numbe...
Finds the common multiples and the least common demo teach
Finds the common multiples and the least common demo teach
More from andyheomoiandyheomoi
LOWERING GREENING OF COOKIES MADE FROM SUNFLOWER BUTTER USING ACIDIC INGREDI...
This document is a student thesis on lowering greening in sunflower butter cookies using acidic ingredients. It includes an introduction on sunflower butter properties and how chlorogenic acid can cause greening reactions. The methods section outlines the cookie recipe and formulations tested with different acidic ingredients (honey, yogurt, buttermilk, sour cream), as well as testing procedures for color, pH, hardness, chlorogenic acid content and more. The results section finds cookies made with maple syrup were greenest and acidic ingredients with higher pH led to more greening. Honey cookies had highest chlorogenic acid but lowest greening. The conclusion is that greening is reduced under more acidic conditions, and future work could explore moisture content effects and sensory evaluations.
ANTI-OXIDATIVE EFFECTS OF GREEN TEA EXTRACT AND TOCOPHEROL ON AUTOXIDATION OF...
ANTI-OXIDATIVE EFFECTS OF GREEN TEA EXTRACT AND TOCOPHEROL ON AUTOXIDATION OF...andyheomoiandyheomoi
This document summarizes a student's research on the anti-oxidative effects of green tea extract and tocopherol on the autoxidation of perilla oil. The student purified perilla oil to remove tocopherol and measured tocopherol content using HPLC. Green tea extract was prepared from leaves and powder and analyzed for total phenolic content and DPPH radical scavenging activity. Peroxide value was measured to evaluate the oxidative stability of perilla oil emulsions with different combinations of tocopherol and green tea extract over time. Results showed green tea extract was effective in inhibiting perilla oil autoxidation but was less effective than tocopherol in emulsions, possibly due to theirInteresting Integers
This document defines integers and related concepts like positive and negative numbers. It discusses that integers include all whole numbers and their opposites on the number line, including zero. Positive numbers are greater than zero, while negative numbers are less than zero. Opposite numbers are the same distance from zero in opposite directions. The additive inverse of a number is its opposite. Rules for adding, subtracting, multiplying and dividing integers are also defined.
Divisability Rules
This document provides explanations and examples of divisibility rules for numbers 2 through 12. It explains what it means for a number to be divisible by another number without a remainder. It then gives the specific rules for divisibility by numbers 2 through 12, such as a number being divisible by 2 if the last digit is even. Examples are provided for each rule along with practice problems for the user to determine which numbers are or are not divisible based on the rules.
Soil and Water Engineering 12
This document outlines the class schedule for an Advanced Soil and Water Engineering course. It includes 15 classes over topics like the physical characteristics of soil, micrometeorology, soil water and evapotranspiration, and soil and water engineering in operation. Today's topic will cover soil water balance, soil evaporation modelling, and how to combine water constants and FAO-PM-ET models to estimate soil moisture and evapotranspiration.
Soil and Water Engineering 11
The document outlines the class schedule for an Advanced Soil and Water Engineering course. It is broken into 15 classes covering topics like the physical characteristics of soil, micrometeorology, soil water and evapotranspiration, and soil and water engineering applications. The current class is discussing reference evapotranspiration and how it is used with crop coefficients to calculate actual evapotranspiration for different crops, like an example given for early paddy rice cultivation in Tottori, Japan.
Soil and Water Engineering 10
This document provides equations for calculating clear-sky solar radiation (Rso) in three steps:
1) Calculate extraterrestrial solar radiation (Ra) based on the solar constant, earth-sun distance, and solar incident angle.
2) Calculate clear-sky atmospheric transmittance (τ) using one of two methods and then multiply it by Ra to calculate Rso.
3) Provide supplemental equations for calculating air pressure and vapor pressure if not directly available. Method B for calculating τ is considered more accurate but also more complex.
Soil and Water Engineering 09
This document contains the class schedule and topics for an Advanced Soil and Water Engineering course. The schedule includes 15 classes covering various topics related to physical characteristics of soil, micrometeorology, soil water, and evapotranspiration. Today's topic is on clear-sky solar radiation as preparation for calculating evapotranspiration. Graphs are presented comparing calculated and measured solar radiation for two clear-sky days in May 2017 in Miyazaki, Japan. The document also provides information on weather data sources and the data available from the Miyazaki Meteorological Station.
Soil and Water Engineering 08
This document outlines the class schedule and today's topic for an advanced soil and water engineering course. The topic is micrometeorology III and evapotranspiration (ET). It defines ET and explains why it is important for agriculture and natural systems. It also discusses several methods to measure or estimate ET, including lysimeters, evaporation pans, eddy covariance, bowen ratio, water balance approaches, and energy balance modeling. Precision measurement techniques like lysimeters provide actual ET values but have limitations, while modeling offers estimates with assumptions and potential errors. Understanding ET is key for irrigation management and calculating crop water requirements.
Soil and Water Engineering 07
This document outlines the class schedule for an Advanced Soil and Water Engineering course. The schedule includes 15 classes covering various topics related to physical characteristics of soil, micrometeorology, soil water and evapotranspiration, and soil and water engineering applications. Today's class will focus on micrometeorology, covering the first two topics on surface energy balance and presenting four case studies examining surface energy balance in different environments like deserts, cities, and greenhouses.
Soil and Water Engineering 06
1) Japanese researchers have studied lake evaporation in Japan since the 1950s, monitoring lakes like Lake Towada and Lake Nojiri to understand how depth impacts monthly evaporation patterns.
2) Studies found that deeper lakes have higher evaporation in winter and lower evaporation in summer, while shallower lakes exhibit the opposite pattern.
3) The document proposes equations to model the relationship between lake depth and the ratio of monthly to annual evaporation, approximating it as a sine curve. When applied to Lake Superior, the model showed good agreement with other studies.
Soil and Water Engineering 05
1. The document outlines the class schedule for an advanced soil and water engineering course, covering topics like physical characteristics of soil, micrometeorology, soil water, and applications of soil and water engineering.
2. It discusses the concepts of surface radiation balance and heat transfer, including equations for net radiation, solar radiation, reflected radiation, and outgoing longwave radiation.
3. It explains the components of surface heat balance - net radiation, ground heat flux, sensible heat flux, and latent heat flux - and the equations governing heat and vapor transfer through atmospheric resistances.
Soil and Water Engineering 04
This document outlines the class schedule and topics for an Advanced Soil and Water Engineering course. The schedule includes 15 classes covering topics like physical characteristics of soil, micrometeorology, soil water and evapotranspiration, and soil and water engineering applications. Key concepts discussed include capillary rise, Darcy's law, hydraulic conductivity, saturated and unsaturated water flow, and the Buckingham-Darcy equation for unsaturated soils. Examples are provided for determining hydraulic conductivity through experimental methods.
Soil and Water Engineering 03
1. This document outlines the class schedule for an Advanced Soil and Water Engineering course, including topics on physical characteristics of soil, micrometeorology, soil water and evapotranspiration, and soil and water engineering applications.
2. Today's class will cover physical characteristics of soil, including clay particles and soil water potential.
3. Students are assigned a homework to create a PowerPoint explaining the concept of soil water potential for undergraduate students in 15-30 minutes, focusing on total potential, gravimetric potential, solute potential, soil matric potential, and pressure potential. The purpose is to help students understand this key concept.
Soil and Water Engineering 02
This document contains the class schedule and notes for an Advanced Soil and Water Engineering course. The schedule lists 15 class meetings over topics including physical characteristics of soil, micrometeorology, soil water, and applications of soil and water engineering. Today's class covers the physical characteristics of soil. The notes define soil as a three-phase system consisting of solids, liquids, and gases. It describes analyzing the solid phase by categorizing particles by size into clay, silt, sand and gravel and identifying the soil texture. Physical characteristics of soil discussed include particle size distribution, bulk density, and specific heat.
Soil and Water Engineering 1
This document provides an overview of an advanced soil and water engineering study guide. The course covers topics related to irrigation, drainage, hydrology, water circulation, and field and water resource conservation. A prerequisite is a high school level knowledge of mathematics and physics. Lecture materials will be provided through an online system and no textbook is required. Grading will be based primarily on homework assignments, and students must attend at least 75% of classes to receive a grade unless an exception is approved in advance.
PHYTANIC METABOLISM PATHWAY AND REFSUM DISEASE
- Phytanic acid is a branched-chain fatty acid found in dairy products and ruminant fat that cannot be broken down through normal beta-oxidation. In healthy individuals, it is degraded through alpha-oxidation to pristanic acid and then beta-oxidation.
- Refsum disease results from an inability to perform alpha-oxidation due to a deficiency of the enzyme phytanoyl-CoA hydroxylase. This causes phytanic acid to accumulate, leading to neurological symptoms.
- Treatment involves avoiding foods containing phytanic acid through dietary restrictions and potentially plasma exchange. With treatment, symptoms generally improve, though permanent vision and hearing loss may occur without treatment.
Resolution of the Phytanic Acid 훼-Oxidation pathway: Identification of Prista...
Resolution of the Phytanic Acid 훼-Oxidation pathway: Identification of Prista...andyheomoiandyheomoi
Resolution of the Phytanic Acid 훼-Oxidation pathway: Identification of Pristanal as product of the decarboxylation of 2-Hydroxyphytanoyl-CoA Privately Managed Marine Reserves as a Mechanism for the Conservation of Cora...
Privately Managed Marine Reserves as a Mechanism for the Conservation of Cora...andyheomoiandyheomoi
Privately Managed Marine Reserves as a Mechanism for the Conservation of Coral Reef Ecosystems: A Case Study from VietnamBioethanol production from pretreated bamboo by white rot fungi fermentation
This document summarizes a study on bioethanol production from pretreated bamboo. It discusses the effects of alkaline pretreatment on the chemical composition and saccharification rate of bamboo. Sodium hydroxide pretreatment was found to selectively remove hemicellulose and lignin, increasing the cellulose content. Bioethanol fermentation trials using pretreated bamboo achieved higher yields compared to untreated bamboo. The document also introduces the potential for producing phenol by hydrothermal degradation of bamboo lignin.
More from andyheomoiandyheomoi (20)
LOWERING GREENING OF COOKIES MADE FROM SUNFLOWER BUTTER USING ACIDIC INGREDI...
LOWERING GREENING OF COOKIES MADE FROM SUNFLOWER BUTTER USING ACIDIC INGREDI...
ANTI-OXIDATIVE EFFECTS OF GREEN TEA EXTRACT AND TOCOPHEROL ON AUTOXIDATION OF...
ANTI-OXIDATIVE EFFECTS OF GREEN TEA EXTRACT AND TOCOPHEROL ON AUTOXIDATION OF...
Resolution of the Phytanic Acid 훼-Oxidation pathway: Identification of Prista...
Resolution of the Phytanic Acid 훼-Oxidation pathway: Identification of Prista...
Privately Managed Marine Reserves as a Mechanism for the Conservation of Cora...
Privately Managed Marine Reserves as a Mechanism for the Conservation of Cora...
Bioethanol production from pretreated bamboo by white rot fungi fermentation
Bioethanol production from pretreated bamboo by white rot fungi fermentation
Recently uploaded
Advanced Java[Extra Concepts, Not Difficult].docx
This is part 2 of my Java Learning Journey. This contains Hashing, ArrayList, LinkedList, Date and Time Classes, Calendar Class and more.
Top five deadliest dog breeds in America
Thinking of getting a dog? Be aware that breeds like Pit Bulls, Rottweilers, and German Shepherds can be loyal and dangerous. Proper training and socialization are crucial to preventing aggressive behaviors. Ensure safety by understanding their needs and always supervising interactions. Stay safe, and enjoy your furry friends!
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
How to Add Chatter in the odoo 17 ERP Module
In Odoo, the chatter is like a chat tool that helps you work together on records. You can leave notes and track things, making it easier to talk with your team and partners. Inside chatter, all communication history, activity, and changes will be displayed.
PCOS corelations and management through Ayurveda.
This presentation includes basic of PCOS their pathology and treatment and also Ayurveda correlation of PCOS and Ayurvedic line of treatment mentioned in classics.
A Strategic Approach: GenAI in Education
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
clinical examination of hip joint (1).pdf
described clinical examination all orthopeadic conditions .
South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)Academy of Science of South Africa
A workshop hosted by the South African Journal of Science aimed at postgraduate students and early career researchers with little or no experience in writing and publishing journal articles.Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
DRUGS AND ITS classification slide share
Any substance (other than food) that is used to prevent, diagnose, treat, or relieve symptoms of a
disease or abnormal condition
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptxMohd Adib Abd Muin, Senior Lecturer at Universiti Utara Malaysia
This slide is special for master students (MIBS & MIFB) in UUM. Also useful for readers who are interested in the topic of contemporary Islamic banking.
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective UpskillingExcellence Foundation for South Sudan
Strategies for Effective Upskilling is a presentation by Chinwendu Peace in a Your Skill Boost Masterclass organisation by the Excellence Foundation for South Sudan on 08th and 09th June 2024 from 1 PM to 3 PM on each day.Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama UniversityAkanksha trivedi rama nursing college kanpur.
Natural birth techniques are various type such as/ water birth , alexender method, hypnosis, bradley method, lamaze method etcRecently uploaded (20)
Liberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdf
South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)
Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Greatest Common Factor
- 2. WHAT’S A MULTIPLE? A number that can be divided evenly by another number. Students will often identify factors instead of multiples. Every number has multiples There are an infinite amount of multiples for each number. Created by pairs of factors. Multiple Multiplication tables are just lists of multiples.
- 3. EXAMPLES 10: 10, 20, 30, 40 15, 30, 45, 60 15: 6: 6, 12, 18, 24 9, 18, 27, 36 9:
- 4. Write the first 5 multiples of the following. a.8 b.12 c.11 d.25 e.100
- 5. LCM – LEAST COMMON MULTIPLE To find the LCM, list down the multiples in increasing order. 10: LCM: 30 10, 20, 30, 40 15, 30, 45, 60 15: 6: LCM: 18 6, 12, 18, 24 9, 18, 27, 36 9:
- 6. FIND THE LCM OF EACH NUMBER PAIR. a. 5, 7 b. 10, 6 c. 4, 9
- 7. WHAT’S A FACTOR? A number that can be divided evenly into another number. Students will often identify multiples instead of factors. Students often miss a factor when listing them. Will divide evenly into only some greater numbers. There are a limited amount of factors for each number. Usually identified in pairs. Factor
- 8. FACTORING BY LISTING METHOD 12 1 12 2 6 3 4 32 1 32 2 16 4 8 x x x x x x
- 9. List down all the factors of the following. a.8 b.12 c. 11 d. 25
- 11. WHAT’S A PRIME NUMBER? A number that can be divided only by itself and 1. Students often think odd numbers are prime numbers. Example: 9 Every number can be divided by a prime number. Prime numbers are the foundation of all numbers. Prime Number
- 12. FIND ALL PRIMES. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100
- 13. FACTORING BY PRIME FACTORIZATION
- 14. FACTORING BY PRIME FACTORIZATION 24
- 15. FACTORING BY PRIME FACTORIZATION 36
- 16. FIND THE FACTORS OF THE FOLLOWING. 18 48
- 17. FACTORIZATION USING REPEATED DIVISION Find the prime factors of 12.
- 18. GREATEST COMMON FACTOR 1. List down ALL the factors. 24 18 2. Find the common factors. 3. Find the GREATEST common factor. 18 2 1 9 6 3 6 4 GCF: 6 24 2 1 12 8 3
- 19. GREATEST COMMON FACTOR 1. List down ALL the factors. 32 20 2. Find the common factors. 3. Find the GREATEST common factor. 20 2 1 10 5 4 GCF: 4 32 2 1 16 8 4
Editor's Notes
- Ask students to choose the definition for Factor in their MathBerries.
- Ask students to choose the definition for Factor in their MathBerries.
- Ask students to choose the definition for Factor in their MathBerries.
- Call students to the board to list factors. Some will be missed.
- Call students to the board to list factors. Some will be missed.