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This video shows what are prime numbers and how to identify them. For a full lesson on prime numbers and types of numbers, please visit:
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The document discusses multiples and factors. It defines multiples as numbers formed by multiplying a given number by the counting numbers. Factors are the numbers multiplied together to get a product. The document provides examples of finding multiples and factors of various numbers. It also defines prime and composite numbers.
This document discusses different methods for addition, including vertical addition where numbers are placed top to bottom and using a number line. It provides examples of counting objects and writing the total numbers to demonstrate addition concepts. Students are asked to identify the correct answers for addition problems and work through addition examples themselves.
The document discusses rounding numbers to the nearest value. It provides instructions on how to round numbers based on whether the digit being rounded off is followed by a number 4 or less, in which case you round down, or 5 or more, in which case you round up. Examples are given for rounding to the nearest ten, hundred, and thousand.
Dividing a 3 Digit Number by a 1 Digit NumberChris James
1. The document explains how to divide a 3-digit number by a 1-digit number using long division, using the example of 895 divided by 5.
2. It works through the long division step-by-step, placing digits above the line and subtracting until there is no remainder.
3. The answer is that 895 divided by 5 equals 179 with no remainder.
This document discusses numbers beyond 9999 and place value in the Indian and international number systems. It provides examples of how to read numbers up to hundreds thousands in the Indian system and explains place value and face value. Examples are given to practice identifying the face value and place value of digits in different numbers. The document also briefly introduces the differences between the Indian and international number systems before providing additional examples to practice writing numbers in both systems.
Enhance your children's division skills with our incredible teaching, activity and display resource pack! Includes a comprehensive guide to the topic, printable activity resources for independent and group work, as well as handy display and reference materials.
Available from http://www.teachingpacks.co.uk/the-division-pack/
The document defines and provides examples of fractions. It explains that a whole can be divided into equal parts, like eighths. It then discusses how the Sebastian family divided their pizza into 8 equal pieces, so the fraction of the whole pizza is 8/8. Various other fractions that equal 1 whole are shown, such as halves, thirds, fourths, and eighths. The key parts of a fraction - the numerator, denominator, and fraction bar - are also defined.
The document discusses multiples and factors. It defines multiples as numbers formed by multiplying a given number by the counting numbers. Factors are the numbers multiplied together to get a product. The document provides examples of finding multiples and factors of various numbers. It also defines prime and composite numbers.
This document discusses different methods for addition, including vertical addition where numbers are placed top to bottom and using a number line. It provides examples of counting objects and writing the total numbers to demonstrate addition concepts. Students are asked to identify the correct answers for addition problems and work through addition examples themselves.
The document discusses rounding numbers to the nearest value. It provides instructions on how to round numbers based on whether the digit being rounded off is followed by a number 4 or less, in which case you round down, or 5 or more, in which case you round up. Examples are given for rounding to the nearest ten, hundred, and thousand.
Dividing a 3 Digit Number by a 1 Digit NumberChris James
1. The document explains how to divide a 3-digit number by a 1-digit number using long division, using the example of 895 divided by 5.
2. It works through the long division step-by-step, placing digits above the line and subtracting until there is no remainder.
3. The answer is that 895 divided by 5 equals 179 with no remainder.
This document discusses numbers beyond 9999 and place value in the Indian and international number systems. It provides examples of how to read numbers up to hundreds thousands in the Indian system and explains place value and face value. Examples are given to practice identifying the face value and place value of digits in different numbers. The document also briefly introduces the differences between the Indian and international number systems before providing additional examples to practice writing numbers in both systems.
Enhance your children's division skills with our incredible teaching, activity and display resource pack! Includes a comprehensive guide to the topic, printable activity resources for independent and group work, as well as handy display and reference materials.
Available from http://www.teachingpacks.co.uk/the-division-pack/
The document defines and provides examples of fractions. It explains that a whole can be divided into equal parts, like eighths. It then discusses how the Sebastian family divided their pizza into 8 equal pieces, so the fraction of the whole pizza is 8/8. Various other fractions that equal 1 whole are shown, such as halves, thirds, fourths, and eighths. The key parts of a fraction - the numerator, denominator, and fraction bar - are also defined.
The document defines and provides examples of different types of numbers:
Natural numbers start at 1 and do not include 0. Whole numbers include all natural numbers and 0. Even numbers are divisible by 2, while odd numbers are not. Prime numbers are only divisible by 1 and themselves, while composite numbers can be divided by other numbers.
A pattern is a sequence of numbers, shapes, or other objects that follows a specific rule such as repeating, growing, or both. Number patterns can be repeating, growing, or a combination of both. Examples of number patterns include skip counting, repeating numbers, and growing numbers. Geometric patterns also follow specific rules with repeating shapes or letters. The document provides examples of number patterns and problems involving number patterns to solve.
This document provides an overview of fractions including:
- Defining fractions as parts of a whole and representing them as a/b
- Explaining equivalent fractions and how to simplify fractions by dividing the numerator and denominator by their greatest common factor
- Describing the different types of fractions such as proper, improper, and mixed fractions
- Covering the key operations of adding, subtracting, multiplying, and dividing fractions including converting fractions to have a common denominator when needed
- Providing examples for simplifying, converting between fraction types, and performing the different fraction operations
Volume is the amount of space an object occupies, while capacity refers to the maximum amount of liquid a container can hold. Capacity can be measured using different tools and refers to how much a container can hold. Volume is determined by the three dimensions of an object and the amount of space it fills.
Algebra is a branch of mathematics that uses letters and symbols to represent numbers and quantities in expressions and equations. Key terms in algebra include variables, which can represent different numbers; replacement sets, which define the possible values a variable can take; and constants, which always represent the same number. Algebraic expressions combine variables, constants, and operation symbols using grouping symbols and relationship symbols to represent a mathematical relationship between quantities.
This document explains how to create a bar graph to represent data. It uses a set of data counting the number of skittles of different colors as an example. The document outlines the steps to make a bar graph, including determining the axes, labeling them, and then graphing the data points. It then discusses what can be observed from the completed bar graph, such as which color has the most or least skittles and determining the total number counted.
Add Fractions With Unlike DenominatorsBrooke Young
This document provides steps for adding fractions with unlike denominators:
1) Find equivalent fractions with a common denominator
2) Add the numerators and use the sum as the new numerator
3) Keep the common denominator as the denominator
4) Simplify the resulting fraction if possible by reducing to lowest terms
Worked examples demonstrate applying the steps to add several pairs of fractions.
This document discusses place value and how the decimal system works. It explains that the decimal system uses the digits 0-9 and that the position of each digit determines its value. The value increases from right to left, so digits to the left represent larger values like thousands or millions. Place value charts can help read and understand large numbers by showing the value of each digit position. The document also covers writing numbers in standard form versus expanded form, and how to properly say large numbers aloud by naming the place value of each group.
1. The document explains the steps for long division with a 2 digit divisor through an example of dividing 418 by 21.
2. It breaks down the process into 5 steps - dividing, multiplying, subtracting, bringing down remaining digits, and repeating the steps or noting the remainder.
3. Following these steps, the example divides 418 by 21 and gets a quotient of 20 with a remainder of 3.
This document provides information about fractions including:
1) It defines a fraction as parts of a whole object that is divided into equal parts, with the number on the bottom telling how many equal parts the whole is divided into (the denominator), and the number on top telling how many parts are selected (the numerator).
2) It explains that the denominator of a fraction indicates the number of equal parts that make up the whole object, while the numerator indicates how many of those parts are selected or shaded.
3) Examples are provided to demonstrate finding the numerator and denominator of fractions and representing fractions as shapes or parts of a whole.
Determining place value, value and face valueKliniqueBrown
This document discusses place value and face value in numbers. Place value is the value of a digit determined by its position in a number. It is calculated by multiplying the digit by the value of its place (1000s, 100s, etc.). Face value is simply the digit itself, regardless of position. Examples are given to demonstrate calculating place value by counting digits to the right and inserting zeros. Practice problems provide examples of finding the face and place values of underlined and variable digits in given numbers.
The document discusses square numbers, square roots, and estimating square roots. It defines a square number as a number that is the product of a whole number multiplied by itself. Square roots are defined as numbers that when multiplied by themselves produce another given number. The document provides examples of calculating square roots of perfect squares by factoring them into smaller perfect square factors. It also describes a method for estimating square roots of non-perfect squares by placing them on a number line between the adjacent perfect squares and interpolating to the nearest tenth.
Fractions represent parts of a whole. They are made up of a numerator above a denominator, where the numerator indicates the number of equal parts being considered and the denominator indicates the total number of equal parts the whole was divided into. There are three main types of fractions: proper fractions where the numerator is smaller than the denominator, improper fractions where the numerator is larger, and mixed numbers which are a whole number and a fraction combined. Fractions are used to represent parts of measuring tools like rulers and cups as well as in other mathematical concepts.
The document discusses calculating the area and perimeter of rectangles and shapes made from rectangles. It defines area as a measure of surface covered and perimeter as the distance around a shape. It provides the formulas for calculating the perimeter and area of rectangles as well as squares, which are special rectangles where the length and width are equal. It also explains how to find the total area of shapes made up of multiple rectangles by calculating the individual areas and summing them.
This document discusses factors and multiples of numbers. It defines factors as numbers that can be multiplied together to get another number, and multiples as numbers obtained by multiplying a given number by whole numbers. Examples are provided to illustrate factors, multiples, and types of numbers including abundant, deficient, and perfect numbers. Practice problems are included to identify factors and multiples, as well as grouping students into equal numbers of groups.
The document discusses factors and multiples of numbers. It defines factors as the numbers that multiply together to get a product. It provides examples of finding all the factors of several numbers by trying all combinations of multiplying smaller numbers. It then defines multiples as the results of multiplying a number by the counting numbers 1, 2, 3, etc. It gives examples of listing the multiples of 4. Finally, it briefly introduces prime and composite numbers, with prime numbers only having two factors and composite having more.
The document discusses patterns and sequences in mathematics. It explains that a sequence is the proper term for a pattern of numbers, with each number in the sequence having a term name (first term, second term, etc.). It provides examples of number sequences and instructs readers to look for the relationship between each term to predict the next number in the sequence. Several practice sequences are presented for readers to identify the patterns.
This document provides simple tests and tricks for determining if a number is divisible by certain integers between 2 and 11. It explains that to check divisibility by:
- 2, look at the last digit
- 3, sum the digits and check if divisible by 3
- 4, check if the last two digits are divisible by 4
- 5, check if the last digit is 0 or 5
- 6, check if divisible by both 2 and 3
- 8, check if the last three digits are divisible by 8
- 9, sum the digits and check if divisible by 9
- 10, check if it ends in 0
- 11, take the difference of sums of odd and even place digits.
This document is a PowerPoint presentation about fractions for 8th grade students. It contains definitions of key fraction terms like numerator, denominator, improper fractions, and mixed numbers. It explains how to add, subtract, multiply, and divide fractions, including using common denominators for addition and subtraction of unlike fractions. It also discusses equivalent fractions and how to determine if two fractions are equivalent using scale factors or cross-multiplication. The learning objectives are for students to understand fraction operations and how to find equivalent fractions.
The document introduces multiplication as a way to efficiently calculate the total number of objects when grouped into equal sets. It provides examples of multiplying the number of sets by the number of objects in each set to find the total number of legs for multiple cats, number of crayons in multiple boxes, number of books for multiple teachers, and number of apples on multiple desks. The document encourages representing multiplication problems using sets and solving related problems.
This document provides instructions for adding and subtracting decimals:
1. Follow the basic rules - find the decimal point, line up decimals, and fill in empty spots with zeros.
2. Examples are provided of adding and subtracting decimals, such as 56.78 + 1.3 = 58.08.
3. Rules for integers are also explained, such as when adding numbers with the same sign you add them and keep the sign, and when subtracting you add the opposite and use the addition rules.
Mathematics for Grade 6: Prime Factorization - LCMBridgette Mackey
http://bit.ly/1LTzAo6
This slide explains what is the Lowest Common Multiple (LCM) of a pair of numbers. For a full free video on factors, multiples, HCF and LCM please visit http://bit.ly/1LTzAo6
The document defines and provides examples of different types of numbers:
Natural numbers start at 1 and do not include 0. Whole numbers include all natural numbers and 0. Even numbers are divisible by 2, while odd numbers are not. Prime numbers are only divisible by 1 and themselves, while composite numbers can be divided by other numbers.
A pattern is a sequence of numbers, shapes, or other objects that follows a specific rule such as repeating, growing, or both. Number patterns can be repeating, growing, or a combination of both. Examples of number patterns include skip counting, repeating numbers, and growing numbers. Geometric patterns also follow specific rules with repeating shapes or letters. The document provides examples of number patterns and problems involving number patterns to solve.
This document provides an overview of fractions including:
- Defining fractions as parts of a whole and representing them as a/b
- Explaining equivalent fractions and how to simplify fractions by dividing the numerator and denominator by their greatest common factor
- Describing the different types of fractions such as proper, improper, and mixed fractions
- Covering the key operations of adding, subtracting, multiplying, and dividing fractions including converting fractions to have a common denominator when needed
- Providing examples for simplifying, converting between fraction types, and performing the different fraction operations
Volume is the amount of space an object occupies, while capacity refers to the maximum amount of liquid a container can hold. Capacity can be measured using different tools and refers to how much a container can hold. Volume is determined by the three dimensions of an object and the amount of space it fills.
Algebra is a branch of mathematics that uses letters and symbols to represent numbers and quantities in expressions and equations. Key terms in algebra include variables, which can represent different numbers; replacement sets, which define the possible values a variable can take; and constants, which always represent the same number. Algebraic expressions combine variables, constants, and operation symbols using grouping symbols and relationship symbols to represent a mathematical relationship between quantities.
This document explains how to create a bar graph to represent data. It uses a set of data counting the number of skittles of different colors as an example. The document outlines the steps to make a bar graph, including determining the axes, labeling them, and then graphing the data points. It then discusses what can be observed from the completed bar graph, such as which color has the most or least skittles and determining the total number counted.
Add Fractions With Unlike DenominatorsBrooke Young
This document provides steps for adding fractions with unlike denominators:
1) Find equivalent fractions with a common denominator
2) Add the numerators and use the sum as the new numerator
3) Keep the common denominator as the denominator
4) Simplify the resulting fraction if possible by reducing to lowest terms
Worked examples demonstrate applying the steps to add several pairs of fractions.
This document discusses place value and how the decimal system works. It explains that the decimal system uses the digits 0-9 and that the position of each digit determines its value. The value increases from right to left, so digits to the left represent larger values like thousands or millions. Place value charts can help read and understand large numbers by showing the value of each digit position. The document also covers writing numbers in standard form versus expanded form, and how to properly say large numbers aloud by naming the place value of each group.
1. The document explains the steps for long division with a 2 digit divisor through an example of dividing 418 by 21.
2. It breaks down the process into 5 steps - dividing, multiplying, subtracting, bringing down remaining digits, and repeating the steps or noting the remainder.
3. Following these steps, the example divides 418 by 21 and gets a quotient of 20 with a remainder of 3.
This document provides information about fractions including:
1) It defines a fraction as parts of a whole object that is divided into equal parts, with the number on the bottom telling how many equal parts the whole is divided into (the denominator), and the number on top telling how many parts are selected (the numerator).
2) It explains that the denominator of a fraction indicates the number of equal parts that make up the whole object, while the numerator indicates how many of those parts are selected or shaded.
3) Examples are provided to demonstrate finding the numerator and denominator of fractions and representing fractions as shapes or parts of a whole.
Determining place value, value and face valueKliniqueBrown
This document discusses place value and face value in numbers. Place value is the value of a digit determined by its position in a number. It is calculated by multiplying the digit by the value of its place (1000s, 100s, etc.). Face value is simply the digit itself, regardless of position. Examples are given to demonstrate calculating place value by counting digits to the right and inserting zeros. Practice problems provide examples of finding the face and place values of underlined and variable digits in given numbers.
The document discusses square numbers, square roots, and estimating square roots. It defines a square number as a number that is the product of a whole number multiplied by itself. Square roots are defined as numbers that when multiplied by themselves produce another given number. The document provides examples of calculating square roots of perfect squares by factoring them into smaller perfect square factors. It also describes a method for estimating square roots of non-perfect squares by placing them on a number line between the adjacent perfect squares and interpolating to the nearest tenth.
Fractions represent parts of a whole. They are made up of a numerator above a denominator, where the numerator indicates the number of equal parts being considered and the denominator indicates the total number of equal parts the whole was divided into. There are three main types of fractions: proper fractions where the numerator is smaller than the denominator, improper fractions where the numerator is larger, and mixed numbers which are a whole number and a fraction combined. Fractions are used to represent parts of measuring tools like rulers and cups as well as in other mathematical concepts.
The document discusses calculating the area and perimeter of rectangles and shapes made from rectangles. It defines area as a measure of surface covered and perimeter as the distance around a shape. It provides the formulas for calculating the perimeter and area of rectangles as well as squares, which are special rectangles where the length and width are equal. It also explains how to find the total area of shapes made up of multiple rectangles by calculating the individual areas and summing them.
This document discusses factors and multiples of numbers. It defines factors as numbers that can be multiplied together to get another number, and multiples as numbers obtained by multiplying a given number by whole numbers. Examples are provided to illustrate factors, multiples, and types of numbers including abundant, deficient, and perfect numbers. Practice problems are included to identify factors and multiples, as well as grouping students into equal numbers of groups.
The document discusses factors and multiples of numbers. It defines factors as the numbers that multiply together to get a product. It provides examples of finding all the factors of several numbers by trying all combinations of multiplying smaller numbers. It then defines multiples as the results of multiplying a number by the counting numbers 1, 2, 3, etc. It gives examples of listing the multiples of 4. Finally, it briefly introduces prime and composite numbers, with prime numbers only having two factors and composite having more.
The document discusses patterns and sequences in mathematics. It explains that a sequence is the proper term for a pattern of numbers, with each number in the sequence having a term name (first term, second term, etc.). It provides examples of number sequences and instructs readers to look for the relationship between each term to predict the next number in the sequence. Several practice sequences are presented for readers to identify the patterns.
This document provides simple tests and tricks for determining if a number is divisible by certain integers between 2 and 11. It explains that to check divisibility by:
- 2, look at the last digit
- 3, sum the digits and check if divisible by 3
- 4, check if the last two digits are divisible by 4
- 5, check if the last digit is 0 or 5
- 6, check if divisible by both 2 and 3
- 8, check if the last three digits are divisible by 8
- 9, sum the digits and check if divisible by 9
- 10, check if it ends in 0
- 11, take the difference of sums of odd and even place digits.
This document is a PowerPoint presentation about fractions for 8th grade students. It contains definitions of key fraction terms like numerator, denominator, improper fractions, and mixed numbers. It explains how to add, subtract, multiply, and divide fractions, including using common denominators for addition and subtraction of unlike fractions. It also discusses equivalent fractions and how to determine if two fractions are equivalent using scale factors or cross-multiplication. The learning objectives are for students to understand fraction operations and how to find equivalent fractions.
The document introduces multiplication as a way to efficiently calculate the total number of objects when grouped into equal sets. It provides examples of multiplying the number of sets by the number of objects in each set to find the total number of legs for multiple cats, number of crayons in multiple boxes, number of books for multiple teachers, and number of apples on multiple desks. The document encourages representing multiplication problems using sets and solving related problems.
This document provides instructions for adding and subtracting decimals:
1. Follow the basic rules - find the decimal point, line up decimals, and fill in empty spots with zeros.
2. Examples are provided of adding and subtracting decimals, such as 56.78 + 1.3 = 58.08.
3. Rules for integers are also explained, such as when adding numbers with the same sign you add them and keep the sign, and when subtracting you add the opposite and use the addition rules.
Mathematics for Grade 6: Prime Factorization - LCMBridgette Mackey
http://bit.ly/1LTzAo6
This slide explains what is the Lowest Common Multiple (LCM) of a pair of numbers. For a full free video on factors, multiples, HCF and LCM please visit http://bit.ly/1LTzAo6
Powerpoint on adding and subtracting decimals notesrazipacibe
The document provides instructions for adding and subtracting decimals. It explains that to add decimals, you should line up the decimal points and add the columns from right to left, placing the decimal in the answer below the other decimals. Two examples of decimal addition are shown. It also explains that to subtract decimals, you should line up the decimal points, subtract the columns from right to left while regrouping if needed, and place the decimal in the answer below the other decimals. One example of decimal subtraction is provided.
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This video describes what are integers. It also shows how integers are represented on a number line.
For a full FREE video on Integers, please visit http://bit.ly/1LTzAo6
This document provides an overview of scaffolding instruction for addition and subtraction. It discusses using graphic organizers and manipulatives to build conceptual understanding from concrete to abstract levels. Specific lessons are outlined for pre-kindergarten through second grade that model addition and subtraction using objects, pictures, and number sentences. Representational tools like linking cubes, part-part-whole mats, and base ten blocks are employed to scaffold learning.
This document provides information about Roman numerals and includes 3 practice problems to test understanding. It lists the symbols and values for common Roman numerals from I=1 to M=1000. It then presents the numerals LXIII, DCXXIV, and CCL as practice problems, with the correct answers being 63, 624, and 250 respectively.
This document provides instructions for adding and subtracting whole numbers. It begins by outlining some key properties of addition, such as the associative, commutative, and zero properties. Examples are then given to demonstrate how to add and subtract whole numbers by lining up the numbers by place value and carrying or borrowing as needed. More practice problems are provided for additional examples of adding and subtracting whole numbers.
Maxillary sinus septa are common anatomical structures that can be detected through CT scans but not reliably through panoramic radiographs. When performing sinus elevation or grafting procedures, the Schneiderian membrane lining the maxillary sinus may occasionally perforate. In these cases, resorbable membranes can be used to cover any perforations.
To multiply decimals, you multiply the numbers as whole numbers and then count decimal places to determine where to place the decimal point in the answer. For the multiplication 1.3 x 3, you multiply 3 x 3 = 9 and 3 x 1 = 3, writing 39 without regard to decimals. Since there is one decimal place in the original numbers, the decimal point goes after the first digit in the answer, making 3.9.
This document provides an overview of maxillary sinus augmentation procedures. It begins with introducing the procedure and anatomy of the maxillary sinus. Reasons for decreased bone height in the posterior maxilla are discussed. The indications, contraindications, benefits, and techniques - including indirect and direct sinus lift - are described. Potential complications are also outlined. In summary, maxillary sinus augmentation allows for increased bone in the upper jaw to facilitate dental implant placement and improved oral rehabilitation.
Sinus lift surgery is used to augment the posterior maxilla when there is insufficient bone height for dental implants. There are direct and indirect sinus lift procedures, with the direct approach involving raising the sinus membrane through a lateral window created in the maxillary sinus wall. Grafting material such as autologous bone is placed to increase bone volume, allowing implant placement after 6 months. Indirect sinus lift is less invasive and has a shorter healing time, using osteotomes to lift the sinus membrane from the alveolar crest when 4-7mm of bone is present. Contraindications include sinus infections or tumors, allergies, steroid use, radiation, smoking, and mental impairment.
This document provides an overview of the anatomy of the maxilla bone. It discusses the key features and structures of the maxilla, including its processes, surfaces, foramina, and articulations. It also covers the development, age-related changes, and surgical anatomy of the maxilla. Common types of maxillary fractures are also listed. In summary, the maxilla is described as the second largest facial bone that forms the upper jaw and contributes to other structures. Its main processes, surfaces, and articulations are defined along with relevant anatomical landmarks.
This document provides an overview of anatomical landmarks in the maxilla that are important for complete denture construction. It discusses intraoral landmarks like the labial and buccal frenums, as well as maxillary arch structures like the residual alveolar ridge, hard palate, palatal rugae, incisive papilla, hamular notch, maxillary tuberosity, and fovea palatinae that serve as stress bearing or relief areas. The document emphasizes understanding the histology and functions of these structures to ensure dentures are designed and placed to avoid placing undue pressure on supporting tissues.
The document provides a detailed lesson plan for a grade 4 mathematics class on adding and subtracting fractions. The lesson plan outlines objectives, subject matter, procedures used, and examples worked through step-by-step with the class. The key topics covered are: adding and subtracting fractions with similar and dissimilar denominators, as well as adding and subtracting mixed numbers with similar and dissimilar denominators. The teacher leads the class through examples of each process.
The document outlines a lesson plan on multiplying fractions in simple and mixed forms. It includes objectives, subject matter, learning experiences such as motivation, presentation of sample problems, and evaluation. Students will learn to change mixed numbers to improper fractions, multiply numerators and denominators, and reduce to lowest terms when multiplying fractions.
This slide gives an introduction to the concepts factors and multiples, which go hand in hand in explaining numbers. These are two of 8 types of numbers covered in the course Numbers and Number Sense by step-above10.teachable.com. For more details or to view this course, visit step-above10.teachable.com
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This slideshow identifies what are composite numbers. For a full FREE lesson on composite numbers and types of numbers please visit:
http://bit.ly/1LTzAo6
Square numbers are numbers that result from multiplying two equal factors. They can be represented visually as squares, with the factors as the length of the sides. Some examples of square numbers are 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100. An exercise identifies which numbers in a figure are square numbers, with the correct answers highlighted in blue. The document provides definitions and examples to explain what square numbers are.
This document provides information about different types of numbers and number patterns. It begins with an outline of topics to be covered, including number sequences, multiples, prime numbers, factors, common multiples, prime factors, common factors, lowest common multiple, and highest common factor. It then defines sets of numbers such as natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. It asks questions to help understand the differences between these number sets and have students illustrate them in a diagram.
Prime numbers are only divisible by 1 and themselves, while composite numbers are divisible by more than two numbers. The first six prime numbers are 2, 3, 5, 7, 11, 13. Prime factorization is writing a composite number as a product of prime factors, using tools like factor trees or ladders. Students will learn how to find factors and write numbers as products of prime factors.
Prime numbers are only divisible by 1 and themselves, while composite numbers are divisible by more than two numbers. The first six prime numbers are 2, 3, 5, 7, 11, 13. Prime factorization is writing a composite number as a product of prime factors, using tools like factor trees or ladders. Students will learn how to find factors and write numbers as products of prime factors.
From Square Numbers to Square Roots (Lesson 2) jacob_lingley
Students will use their understanding of square numbers to evaluate square roots. Remember, square roots, quite literally mean going from square numbers, back to the root - the number which you multiplied in the first place to get the square number. Example: The square root of 49 is 7.
Gcse maths resources higher 01.1 primes number and prime indexLiveOnlineClassesInd
The document discusses prime numbers, including:
- Prime numbers only have two factors - 1 and themselves.
- Prime numbers up to 20 are listed as: 2, 3, 5, 7, 11, 13, 17, 19.
- Examples are provided of finding the prime factors of various numbers and expressing them as products of primes.
The document discusses prime and composite numbers. Prime numbers are integers that are only divisible by 1 and themselves, with examples including 7, 11, and 13. Composite numbers have more than two factors, like 8 which is divisible by 1, 2, 4, and 8. The document provides examples of prime and composite numbers and notes that these categories only apply to positive integers, not negative numbers.
Prime numbers are only divisible by 1 and themselves, while composite numbers are divisible by more than two numbers. The first six prime numbers are 2, 3, 5, 7, 11, 13. Prime factorization is writing a composite number as a product of prime factors, using tools like factor trees or ladders. Students will learn how to find factors and write numbers as products of prime factors through examples and reviewing rules for divisibility.
The document discusses the order of operations (PEMDAS) and provides examples of how to evaluate expressions and solve equations. It explains that parentheses, exponents, multiplication/division from left to right, and addition/subtraction from left to right have precedence based on the PEMDAS acronym. Integers, absolute value, adding, subtracting, multiplying, and dividing integers are also covered along with writing algebraic expressions and solving different types of equations.
The document discusses the order of operations (PEMDAS) and provides examples of how to evaluate expressions and solve equations. It explains that parentheses, exponents, multiplication/division from left to right, and addition/subtraction from left to right have priority in calculations. Algebraic expressions and equations are introduced along with rules for manipulating integers and solving different types of equations.
This document provides an overview of basic math terminology and operations that are important to know for the ACT exam. It defines terms like real numbers, rational numbers, integers, even/odd numbers, prime numbers, and radicals. It also reviews basic operations like exponents, multiplying/dividing numbers with exponents, and rules of divisibility. The document emphasizes knowing these fundamental concepts as many partial answers rely on interpreting terms correctly. A strong foundation in math basics and terminology is key to solving problems on the ACT.
This document discusses various concepts related to numbers including factors, multiples, prime and composite numbers, even and odd numbers, and divisibility rules. It also covers common factors, common multiples, prime factorization, highest common factor (HCF), and lowest common multiple (LCM). Some key points are that factors are divisors of a number, multiples are the product of a number and another integer, prime numbers have only two factors, and the HCF and LCM are ways to find commonalities between two or more numbers.
This document provides information about fractions including:
- The parts of a fraction (numerator and denominator)
- Types of fractions such as proper, improper, equivalent, unit fractions and mixed numbers
- Converting between improper fractions and mixed numbers
- Fractions can represent division problems
- Adding and subtracting like and unlike fractions
- Finding equivalent fractions by multiplying or dividing the numerator and denominator by the same number
This document introduces different number systems including natural numbers, whole numbers, integers, and rational numbers. Rational numbers are numbers that can be expressed as fractions, including decimals that terminate or repeat. The goal in working with rational numbers is to simplify fractions by finding their greatest common factor to write them in lowest terms. Examples are provided of simplifying fractions, writing decimals as fractions, and writing fractions as decimals.
The document discusses different types of numbers:
1) Natural numbers are whole numbers starting from 1. Rational numbers can be expressed as fractions or decimals.
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It begins by defining real numbers as any value that can be placed on a number line. Real numbers include rational numbers like integers and fractions, as well as irrational numbers like square roots. Rational numbers are those that can be written as a ratio of integers, while irrational numbers cannot. Several examples and questions are then provided to distinguish between rational and irrational numbers. Integers, natural numbers, and prime numbers are also defined.
The document concludes by covering indices/powers, their rules and evaluations. The rules of indices covered are exponent laws, negative exponents, zero
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2. TYPES OF NUMBERS
Numbers can be separated into different categories
according to some specific characteristics.These categories
include:
Even Numbers
Odd Numbers
Factors
Multiples
Square
Square Root
Prime
Composite
3. TYPES OF NUMBERS
PRIME NUMBERS
A prime number is a number that has ONLY
TWO factors.These are 1 and itself.
E.g. of Prime Numbers: 2, 3, 5, 7, 11
1 x 2 = 2
1 x 3 = 3
1 x 5 = 5
1 x 7 = 7
1 x 11 = 11
4. TYPES OF NUMBERS EXERCISE
Identify all the PRIME numbers in the table below:
List all the prime numbers from the table in your
workbook or on your computer.
2 3 5 6 7
8 9 10 11 12
13 14 15 16 17
18 19 20 21 22
5. TYPES OF NUMBERS EXERCISE
Compare your answers to the table below.The PRIME
NUMBERS are in red. Did you get them all?You are
totally amazing, good job!
2 3 5 6 7
8 9 10 11 12
13 14 15 16 17
18 19 20 21 22
6. TYPES OF NUMBERS RECAP
In this lesson you learned:
What is a prime number
Examples of prime numbers and how to
identify them.
For a free course that contains a full
lesson on Square roots, visit
step-above10.teachable.com
and use the search tag ‘FREE’