Demonstrates the divisibility rules for (2, 3, 4, 5, 6, 7, 8, 9, 10, 11) using a number n.
Also demonstrates the divisibility calculator at:
https://www.mathcelebrity.com/divisibility.php
This document provides an overview of fractions, including:
- Defining fractions as ordered pairs of numbers where the denominator tells how many equal pieces the whole is divided into.
- Explaining equivalent fractions and how to reduce fractions to their simplest form.
- Demonstrating how to compare fractions using cross multiplication or finding a common denominator.
- Explaining how to perform addition and subtraction of fractions by finding a common denominator or converting to equivalent fractions with the same denominator.
The document discusses how to write and read numbers in both figures and words. It explains that numbers can be written as figures using digits or as words using letters. It provides examples of numbers written in figures and words. The document then presents rules for converting between figures and words, such as using place value and following patterns like "forty-five" for two-digit numbers over 20. It provides practice problems and guidance for converting single- and multi-digit numbers between figures and words.
This document provides guidance on adding dissimilar fractions. It explains that dissimilar fractions have different denominators while similar fractions have the same denominator. To add dissimilar fractions, one must first find the least common denominator (LCD), then rename each fraction with the LCD as its denominator, and finally add the numerators and write over the LCD. Several examples are provided to demonstrate finding the LCD, renaming fractions, and performing the addition. Assessment and enrichment activities are also included to help students practice and apply the skill.
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.
Adding and subtracting fractions with like denominatorschartierenator
To add fractions with the same denominator:
1) Add the numerators and keep the denominators the same
2) Simplify or reduce the fraction by finding the greatest common factor of the numerator and denominator and dividing both by it
3) An improper fraction resulting from the addition can be converted to a mixed number by dividing the numerator by the denominator and writing any remainder over the original denominator
This document provides an overview of fractions for 4th grade mathematics. It defines fractions as parts of objects and introduces equivalent fractions. It explores the relationship between fractions with different denominators, improper fractions and mixed numbers. Students learn how to order fractions from smallest to largest and review key fraction concepts covered.
This document provides instructions for dividing fractions. It begins by giving examples of dividing whole numbers and fractions. It explains that when dividing fractions between 0 and 1, the quotient will be larger than at least one of the fractions. The steps for dividing fractions are then outlined: 1) convert fractions to improper form, 2) keep the first fraction, 3) change the operation to multiplication, 4) take the reciprocal of the second fraction, 5) multiply the numerators and denominators, and 6) simplify if possible. Several examples are worked through to demonstrate the process.
This document provides an overview of fractions, including:
- Defining fractions as ordered pairs of numbers where the denominator tells how many equal pieces the whole is divided into.
- Explaining equivalent fractions and how to reduce fractions to their simplest form.
- Demonstrating how to compare fractions using cross multiplication or finding a common denominator.
- Explaining how to perform addition and subtraction of fractions by finding a common denominator or converting to equivalent fractions with the same denominator.
The document discusses how to write and read numbers in both figures and words. It explains that numbers can be written as figures using digits or as words using letters. It provides examples of numbers written in figures and words. The document then presents rules for converting between figures and words, such as using place value and following patterns like "forty-five" for two-digit numbers over 20. It provides practice problems and guidance for converting single- and multi-digit numbers between figures and words.
This document provides guidance on adding dissimilar fractions. It explains that dissimilar fractions have different denominators while similar fractions have the same denominator. To add dissimilar fractions, one must first find the least common denominator (LCD), then rename each fraction with the LCD as its denominator, and finally add the numerators and write over the LCD. Several examples are provided to demonstrate finding the LCD, renaming fractions, and performing the addition. Assessment and enrichment activities are also included to help students practice and apply the skill.
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.
Adding and subtracting fractions with like denominatorschartierenator
To add fractions with the same denominator:
1) Add the numerators and keep the denominators the same
2) Simplify or reduce the fraction by finding the greatest common factor of the numerator and denominator and dividing both by it
3) An improper fraction resulting from the addition can be converted to a mixed number by dividing the numerator by the denominator and writing any remainder over the original denominator
This document provides an overview of fractions for 4th grade mathematics. It defines fractions as parts of objects and introduces equivalent fractions. It explores the relationship between fractions with different denominators, improper fractions and mixed numbers. Students learn how to order fractions from smallest to largest and review key fraction concepts covered.
This document provides instructions for dividing fractions. It begins by giving examples of dividing whole numbers and fractions. It explains that when dividing fractions between 0 and 1, the quotient will be larger than at least one of the fractions. The steps for dividing fractions are then outlined: 1) convert fractions to improper form, 2) keep the first fraction, 3) change the operation to multiplication, 4) take the reciprocal of the second fraction, 5) multiply the numerators and denominators, and 6) simplify if possible. Several examples are worked through to demonstrate the process.
The document introduces divisibility rules that can help determine if a number is divisible by 2, 5, 10, 3, 9, or 6 without performing the actual division. It provides the rules that a number is divisible by 2 if it is even, by 5 if it ends in 0 or 5, by 10 if it ends in 0, by 3 if the sum of its digits is divisible by 3, by 9 if the sum of its digits is divisible by 9, and by 6 if it is divisible by both 2 and 3. Examples are given to illustrate each rule.
The document explains the divisibility rules for numbers 2 through 10. It states that a number is divisible by a certain number if the remainder is 0 when dividing one number by the other. It then provides examples and explanations of the divisibility rules for each number.
This document provides an overview of algebraic expressions. It defines variables and algebraic expressions, and explains that expressions can be evaluated when the variable is defined. Examples are given to show how expressions represent relationships between quantities. Words that indicate addition, subtraction, multiplication and division are listed. Practice problems are included to write expressions for word phrases and situations. The key aspects covered are variables, expressions, evaluating expressions, and writing expressions from word problems.
This document discusses comparing and ordering numbers. It explains how to compare numbers by lining them up based on place value and comparing the digits from left to right. Lower digits represent smaller values. It provides examples of comparing standard and word forms of numbers. The document also demonstrates how to order numbers from least to greatest or greatest to least by comparing place values from left to right and arranging the numbers in the appropriate order.
To order decimals from least to greatest, follow these steps:
1. Line up the decimals with their decimal points aligned.
2. Add zeros to the end of decimals with fewer decimal places.
3. Compare the decimals place value by place value from left to right.
Ordering decimals from greatest to least follows the same steps.
This document discusses prime numbers, composite numbers, and how to determine which category a whole number falls into. It provides that:
- Prime numbers have exactly two unique factors - the number itself and 1.
- Composite numbers have more than two factors.
- Only the numbers 0, 1, and 2 are neither prime nor composite - 0 because every number divides it, and 1 because it only has one factor. All other whole numbers are either prime or composite.
1) The document discusses comparing whole numbers using relation symbols such as less than, greater than, and equal to. It explains that whole numbers should be compared by looking at the digits in the highest place value first.
2) If the digits in the highest place value are the same, the digits in the next place value are compared.
3) Several examples are provided to demonstrate comparing whole numbers from greatest to least and least to greatest.
This document provides instructions and examples for dividing decimals. It explains that when dividing a decimal by a whole number, the decimal point is placed in the quotient directly above the decimal point in the dividend. It also explains that when dividing decimals, the decimal point in the divisor is moved to the right until the end of its digits, and the decimal point in the dividend is moved the same number of places. This is demonstrated through examples of dividing decimals by whole numbers and decimals.
http://bit.ly/1LTzAo6
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
Divisibility refers to whether a number can be divided by another number without a remainder. A number is divisible by another number if when you divide them, the result is a whole number. The document then provides rules for determining if a number is divisible by 2, 3, 5, 6, 8, 9, 10, and 4. It explains that you cannot divide by 0 because there is no number that when multiplied by 0 equals the original number.
Integers include all whole numbers from negative infinity to positive infinity, including zero, and are denoted by the letter Z. On a number line, positive integers are to the right of zero and negative integers are to the left. The additive inverse of a number is its opposite - for example, the additive inverse of 5 is -5. To subtract integers, the subtraction sign is changed to addition and the number after the sign is changed to its opposite. This allows subtraction problems to be solved as addition problems.
This document provides instruction on adding fractions with different denominators. It begins by explaining why understanding fractions is important for success in algebra and beyond. It then defines the key parts of a fraction and establishes the important rule that fractions can only be added if they have a common denominator. The document demonstrates how to find the lowest common denominator and convert fractions to equivalent forms with the common denominator in order to add them. It emphasizes that equivalent fractions allow fractions to retain their original value even when the denominator changes.
Fractions represent parts of a whole. A fraction consists of a numerator above a denominator separated by a fraction bar. Fractions can be proper if the numerator is smaller than the denominator, improper if the numerator is larger, or mixed numbers consisting of a whole number and proper fraction. Equivalent fractions have the same value even if represented differently, and fractions can be reduced to their lowest terms, simplified, or changed between improper, mixed, and proper forms through multiplication and division.
Commutative And Associative PropertiesEunice Myers
The document discusses the commutative and associative properties of real numbers. The commutative property states that the order of numbers does not matter in addition and multiplication, but it does matter in subtraction and division. The associative property states that the grouping of numbers does not matter in addition and multiplication, but it does matter in subtraction and division. Both properties only apply to addition and multiplication, not subtraction and division.
The document discusses how to reduce fractions to their simplest form by finding common factors between the numerator and denominator. It explains that to simplify a fraction, you divide both the numerator and denominator by any number that divides into both. Examples show reducing 3/6 to 1/2 and 6/10 to 3/5. It emphasizes the importance of reducing fractions all the way to their lowest form by finding the highest common factor.
This document discusses strategies for mental math calculations without paper or calculators. It defines mental math as calculations done in the head using memorized math facts. It then describes common mental math strategies like count on, doubles, friendly numbers, and front-end adding or expanded notation. Count on involves counting up from the first number when adding a small single-digit number. Doubles uses knowing double facts like 2+2. Friendly numbers are those ending in 0 to make adding easier. Front-end adding uses place value by starting with the tens and then ones place.
This document discusses divisibility rules for determining if a number is divisible by certain integers. It provides rules for divisibility by 2, 5, 10, 3, 6, 9, 4, 8, 12, and 11. For each rule, it gives an explanation of the concept and examples to demonstrate how to apply the rule. Readers are prompted to try applying the rules to various numbers to check for divisibility.
Subtraction without and with regrouping 3 4 digit numbersYolanda N. Bautista
Sean sold 342 boxes of cupcakes last week and 557 boxes this week. To find the increase in sales, we subtract last week's amount from this week's, giving 557 - 342 = 215. Another method is to write the numbers as 4986 - 2354 = 2632 to find the difference between them by arranging the digits in columns and subtracting. Subtraction allows regrouping of digits when the number in the top row is less than the number below it in a column.
This document provides a lesson on adding and subtracting decimals through thousandths with and without regrouping. It includes examples of comparing, adding, and subtracting decimals without and with regrouping. Problem solving strategies are discussed, such as drawing diagrams. Practice problems are provided comparing decimal numbers and adding/subtracting decimals with and without regrouping. Key concepts covered are adding, subtracting, comparing, and problem solving with decimals.
Divisibility rule
> A divisibility rule is a shorthand way of determining whether a given integer is divisible by a fixed divisor without performing the division, usually by examining its digits.
1> Any Integer is divisible by 1
2> The last digit of the number is even or 0
3> The sum of the digits is divisible by 3
4> The last two digits form a number divisible by 4
5> The last digit is a 5 or 0
6> The number is divisible by both 3 AND 2
8> The last three digits form a number divisible by 8
9> The sum of the digits is divisible by 9
10> The number ends in 0
The document outlines rules for determining if a number is divisible by 1-10. The rules are:
1) All numbers are divisible by 1
2) The last digit must be even or 0
3) The sum of the digits must be divisible by the number
4) The last two digits must form a number divisible by the number
5) The last digit must be a 5 or 0
6) The number must be divisible by both 2 and 3
7) The last three digits must form a number divisible by the number
8) The sum of the digits must be divisible by the number
9) The number must end in 0
The document introduces divisibility rules that can help determine if a number is divisible by 2, 5, 10, 3, 9, or 6 without performing the actual division. It provides the rules that a number is divisible by 2 if it is even, by 5 if it ends in 0 or 5, by 10 if it ends in 0, by 3 if the sum of its digits is divisible by 3, by 9 if the sum of its digits is divisible by 9, and by 6 if it is divisible by both 2 and 3. Examples are given to illustrate each rule.
The document explains the divisibility rules for numbers 2 through 10. It states that a number is divisible by a certain number if the remainder is 0 when dividing one number by the other. It then provides examples and explanations of the divisibility rules for each number.
This document provides an overview of algebraic expressions. It defines variables and algebraic expressions, and explains that expressions can be evaluated when the variable is defined. Examples are given to show how expressions represent relationships between quantities. Words that indicate addition, subtraction, multiplication and division are listed. Practice problems are included to write expressions for word phrases and situations. The key aspects covered are variables, expressions, evaluating expressions, and writing expressions from word problems.
This document discusses comparing and ordering numbers. It explains how to compare numbers by lining them up based on place value and comparing the digits from left to right. Lower digits represent smaller values. It provides examples of comparing standard and word forms of numbers. The document also demonstrates how to order numbers from least to greatest or greatest to least by comparing place values from left to right and arranging the numbers in the appropriate order.
To order decimals from least to greatest, follow these steps:
1. Line up the decimals with their decimal points aligned.
2. Add zeros to the end of decimals with fewer decimal places.
3. Compare the decimals place value by place value from left to right.
Ordering decimals from greatest to least follows the same steps.
This document discusses prime numbers, composite numbers, and how to determine which category a whole number falls into. It provides that:
- Prime numbers have exactly two unique factors - the number itself and 1.
- Composite numbers have more than two factors.
- Only the numbers 0, 1, and 2 are neither prime nor composite - 0 because every number divides it, and 1 because it only has one factor. All other whole numbers are either prime or composite.
1) The document discusses comparing whole numbers using relation symbols such as less than, greater than, and equal to. It explains that whole numbers should be compared by looking at the digits in the highest place value first.
2) If the digits in the highest place value are the same, the digits in the next place value are compared.
3) Several examples are provided to demonstrate comparing whole numbers from greatest to least and least to greatest.
This document provides instructions and examples for dividing decimals. It explains that when dividing a decimal by a whole number, the decimal point is placed in the quotient directly above the decimal point in the dividend. It also explains that when dividing decimals, the decimal point in the divisor is moved to the right until the end of its digits, and the decimal point in the dividend is moved the same number of places. This is demonstrated through examples of dividing decimals by whole numbers and decimals.
http://bit.ly/1LTzAo6
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
Divisibility refers to whether a number can be divided by another number without a remainder. A number is divisible by another number if when you divide them, the result is a whole number. The document then provides rules for determining if a number is divisible by 2, 3, 5, 6, 8, 9, 10, and 4. It explains that you cannot divide by 0 because there is no number that when multiplied by 0 equals the original number.
Integers include all whole numbers from negative infinity to positive infinity, including zero, and are denoted by the letter Z. On a number line, positive integers are to the right of zero and negative integers are to the left. The additive inverse of a number is its opposite - for example, the additive inverse of 5 is -5. To subtract integers, the subtraction sign is changed to addition and the number after the sign is changed to its opposite. This allows subtraction problems to be solved as addition problems.
This document provides instruction on adding fractions with different denominators. It begins by explaining why understanding fractions is important for success in algebra and beyond. It then defines the key parts of a fraction and establishes the important rule that fractions can only be added if they have a common denominator. The document demonstrates how to find the lowest common denominator and convert fractions to equivalent forms with the common denominator in order to add them. It emphasizes that equivalent fractions allow fractions to retain their original value even when the denominator changes.
Fractions represent parts of a whole. A fraction consists of a numerator above a denominator separated by a fraction bar. Fractions can be proper if the numerator is smaller than the denominator, improper if the numerator is larger, or mixed numbers consisting of a whole number and proper fraction. Equivalent fractions have the same value even if represented differently, and fractions can be reduced to their lowest terms, simplified, or changed between improper, mixed, and proper forms through multiplication and division.
Commutative And Associative PropertiesEunice Myers
The document discusses the commutative and associative properties of real numbers. The commutative property states that the order of numbers does not matter in addition and multiplication, but it does matter in subtraction and division. The associative property states that the grouping of numbers does not matter in addition and multiplication, but it does matter in subtraction and division. Both properties only apply to addition and multiplication, not subtraction and division.
The document discusses how to reduce fractions to their simplest form by finding common factors between the numerator and denominator. It explains that to simplify a fraction, you divide both the numerator and denominator by any number that divides into both. Examples show reducing 3/6 to 1/2 and 6/10 to 3/5. It emphasizes the importance of reducing fractions all the way to their lowest form by finding the highest common factor.
This document discusses strategies for mental math calculations without paper or calculators. It defines mental math as calculations done in the head using memorized math facts. It then describes common mental math strategies like count on, doubles, friendly numbers, and front-end adding or expanded notation. Count on involves counting up from the first number when adding a small single-digit number. Doubles uses knowing double facts like 2+2. Friendly numbers are those ending in 0 to make adding easier. Front-end adding uses place value by starting with the tens and then ones place.
This document discusses divisibility rules for determining if a number is divisible by certain integers. It provides rules for divisibility by 2, 5, 10, 3, 6, 9, 4, 8, 12, and 11. For each rule, it gives an explanation of the concept and examples to demonstrate how to apply the rule. Readers are prompted to try applying the rules to various numbers to check for divisibility.
Subtraction without and with regrouping 3 4 digit numbersYolanda N. Bautista
Sean sold 342 boxes of cupcakes last week and 557 boxes this week. To find the increase in sales, we subtract last week's amount from this week's, giving 557 - 342 = 215. Another method is to write the numbers as 4986 - 2354 = 2632 to find the difference between them by arranging the digits in columns and subtracting. Subtraction allows regrouping of digits when the number in the top row is less than the number below it in a column.
This document provides a lesson on adding and subtracting decimals through thousandths with and without regrouping. It includes examples of comparing, adding, and subtracting decimals without and with regrouping. Problem solving strategies are discussed, such as drawing diagrams. Practice problems are provided comparing decimal numbers and adding/subtracting decimals with and without regrouping. Key concepts covered are adding, subtracting, comparing, and problem solving with decimals.
Divisibility rule
> A divisibility rule is a shorthand way of determining whether a given integer is divisible by a fixed divisor without performing the division, usually by examining its digits.
1> Any Integer is divisible by 1
2> The last digit of the number is even or 0
3> The sum of the digits is divisible by 3
4> The last two digits form a number divisible by 4
5> The last digit is a 5 or 0
6> The number is divisible by both 3 AND 2
8> The last three digits form a number divisible by 8
9> The sum of the digits is divisible by 9
10> The number ends in 0
The document outlines rules for determining if a number is divisible by 1-10. The rules are:
1) All numbers are divisible by 1
2) The last digit must be even or 0
3) The sum of the digits must be divisible by the number
4) The last two digits must form a number divisible by the number
5) The last digit must be a 5 or 0
6) The number must be divisible by both 2 and 3
7) The last three digits must form a number divisible by the number
8) The sum of the digits must be divisible by the number
9) The number must end in 0
The document outlines rules for determining if a number is divisible by 1-10. The rules are:
1) All numbers are divisible by 1
2) The last digit must be even or 0
3) The sum of the digits must be divisible by the number
4) The last two digits must form a number divisible by the number
5) The last digit must be a 5 or 0
6) The number must be divisible by both 2 and 3
7) The last three digits must form a number divisible by the number
8) The sum of the digits must be divisible by the number
9) The number must end in 0
The document discusses divisibility tests for numbers 2 through 11. It provides the rules to determine if a number is divisible by each divisor. For each rule, it gives examples of numbers and determines if they are divisible. It also gives a multiple choice question asking to identify which numbers formed from the digits 7, 2, and 9 are divisible by 3, 6, 9, and 10. It is determined that all 6 numbers are divisible by 3 and 9, and numbers 792 and 972 are divisible by 6.
This document outlines divisibility rules for numbers 2 through 12. It provides examples for each rule. The rules are:
1) A number is divisible by 2 if it is even.
2) A number is divisible by 3 if the sum of its digits is divisible by 3.
3) A number is divisible by 4 if the last two digits are divisible by 4 or are both zero.
4) A number is divisible by 6 if it is divisible by both 2 and 3.
The document discusses divisibility rules for numbers 2 through 10. It provides examples for each rule and interactive exercises for the reader to determine which numbers are and are not divisible by certain criteria. The main rules covered are:
- A number is divisible by 2 if the last digit is even
- 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 5 if the last digit is 0 or 5
- 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
-
The document introduces divisibility rules that can help determine if a number is divisible by other numbers without performing long division. It provides the rules for divisibility by 2, 5, 10, 4, 3, 9, and 6. The rules state that a number is divisible by 2 if it is even, by 5 if it ends in 0 or 5, by 10 if it ends in 0, by 4 if the last two digits form a number divisible by 4, by 3 if the sum of the digits is divisible by 3, and by 9 if the sum of the digits is divisible by 9. To be divisible by 6, a number must be divisible by both 2 and 3.
This document discusses divisibility rules that can help determine if a number is divisible by other numbers without performing long division. It provides the rules for divisibility by 2, 5, 10, 3, 9, and 6. The rules state that a number is divisible by 2 if it is even, by 5 if it ends in 0 or 5, by 10 if it ends in 0, by 3 if the sum of its digits is divisible by 3, by 9 if the sum of its digits is divisible by 9, and by 6 if it is divisible by both 2 and 3. Examples are given to illustrate each rule.
Divisibility rules provide ways to determine if a number is divisible by another number without performing long division. The document outlines divisibility rules for numbers 1-10. It explains that for divisibility by 2, 4, 5, and 10 you check the last digit(s) of the number. For divisibility by 3 and 9 you sum the digits. For divisibility by 6 you check divisibility by both 2 and 3. Divisibility by 7 involves subtracting twice the last digit from the remaining digits. Divisibility by 8 checks the last three digits.
The document provides information about divisibility rules for numbers 2 through 10. It explains what it means for a number to be divisible by another number without a remainder. It then gives the divisibility rules for numbers 2 through 10, providing examples for each. It tests the reader with practice problems asking them to identify which number is not divisible by the given number. The document encourages the reader to practice more if needed and provides positive feedback.
Divisibility test of 3, 4, 9, and divisibility rule..pptxDeekMishra
This document discusses divisibility rules and tests for numbers 3, 4, and 9. It provides examples to show how to use the rules to determine if a number is divisible by 3, 4, or 9 based on summing the digits or looking at the last two digits. The divisibility rule for 3 states a number is divisible by 3 if the sum of its digits is divisible by 3. The rule for 4 states a number is divisible by 4 if the last two digits are divisible by 4. And the rule for 9 states a number is divisible by 9 if the sum of its digits is divisible by 9. Examples are provided to demonstrate applying each rule to determine divisibility.
Divisibility rules provide ways to quickly determine if a number is divisible by another number without performing long division. The document outlines divisibility rules for several numbers:
- A number is divisible by 2 if the last digit is even. It is divisible by 5 if the last digit is 0 or 5. It is divisible by 10 if the last digit is 0.
- For divisibility by 3, add the digits and check if the sum is divisible by 3. For 6, check if it meets the rules for both 2 and 3. For 9, check the digit sum.
- To check divisibility by 4, see if the last two digits are divisible by 4 without a remainder. For 8,
Tips to prepare for Fundamentals of Quantitative Aptitude
Number Properties
LCM, HCF
Divisibility
Fractions & Decimals,
square
Square Roots
cyclicity
with shortcut tricks
Power point is just like the name says a powerful tool for learning. I think that you can engage students not just through words, but also through visuals. Some students learn better by hearing, but other students learn better by seeing. Recently, i create this power point to evaluate my students, i am looking forward to see your comments!
This document provides an overview of divisibility rules to determine if a number is divisible by other numbers without performing long division. It explains the rules for divisibility by 2, 5, 10, 3, 9, and 6. For each rule, it gives an example number to check divisibility and explains how to apply the rule to tell if the number is divisible or not. The overall purpose is to introduce shortcuts to determine divisibility using properties of the digits in a number rather than calculating a full division.
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.
This document discusses divisibility rules that can help determine if a number is divisible by other numbers without calculating remainders. It provides the rules for divisibility by 2, 5, 10, 3, 9, and 6. The rules state that a number is divisible by 2 if it is even, by 5 if it ends in 0 or 5, by 10 if it ends in 0, by 3 if the sum of its digits is divisible by 3, by 9 if the sum of its digits is divisible by 9, and by 6 if it is divisible by both 2 and 3. An example is worked out for each rule.
1) The document discusses number systems and properties of numbers including natural numbers, whole numbers, integers, even/odd numbers, and prime/composite numbers.
2) Formulas for expanding expressions with numbers are provided along with tests for divisibility of numbers by various factors.
3) Types of numbers such as integers, even, odd, prime and composite numbers are defined along with their key properties.
This document discusses divisibility rules for numbers 2 through 10. It provides examples for each rule and interactive exercises for the user to practice identifying which numbers are and are not divisible by certain criteria. The rules are that a number is divisible by 2 if the last digit is even, divisible by 3 if the sum of the digits is divisible by 3, divisible by 4 if the last two digits are divisible by 4, divisible by 5 if the number ends in 0 or 5, divisible by 6 if it meets the rules for 2 and 3, divisible by 9 if the sum of the digits is divisible by 9, and divisible by 10 if the number ends in 0. The document encourages the user to complete assignments and provides additional online resources for
Variables are symbols used to represent unknown values in mathematics. Common variables use letters like x, y, z, except for i which represents imaginary numbers and e which represents Euler's constant. If the unknown refers to a specific person, place or object, the first letter of the name is typically used as the variable, otherwise an arbitrary letter is chosen. Examples show variables like a for John's age, h for Mary's height, s for strawberries.
The document describes MathCelebrity, an automated online math tutor. Its mission is to tutor students and parents in math from home in less than one second. It aims to solve the problems of declining math scores and less time for students and parents by allowing homework to be finished and checked quickly online. The market size is over 50,000 English speaking students worldwide, with 3.5 million visitors in 2018. It competes with Khan Academy, Wolfram Alpha, and IXL. The technology can solve problems in 1/3 of a second using a PHP backend and smart engine. The business model includes advertising, paid subscriptions, and future partnerships. The founder is Don Sevcik, a 20-year math tutor and programmer
How To Pass The ACT Exam and SAT Exam Studying 20 Minutes Per DayDon Sevcik
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive functioning. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms.
A walkthrough of the MathCelebrity ACT and SAT Toolkit Mastery Call.
Book a call to learn how to boost your SAT Scores by 150 points and your ACT scores by 3 points.
https://meetme.so/MathCelebrityEnrollment
How to Find a Cartesian Product of 2 sets A and B using the unique ordered pair combinations from both sets.
The Cartesian Product is A x B. To find the cardinality, |A x B|, we have |A| * |B|.
Cartesian Product Calculator:
https://www.mathcelebrity.com/cartprod.php
Shows you how to estimate the square root of a number without using a calculator.
You’ll find perfect squares until a perfect square is greater than your number. Call this h.
Then you’ll find the next lowest perfect square. Call this l.
The square root of your number n is between l and h.
Calculator:
https://www.mathcelebrity.com/estimate-square-root-calculator.php
How To Calculate Grade Point Average (GPA)Don Sevcik
This video shows you how to calculate your grade point average (GPA) on a 4.0 scale.
A+ = 4.0
A = 4.0
A- = 3.7
B+ = 3.3
B = 3.0
B- = 2.7
C+ = 2.3
C = 2.0
C- = 1.7
D+ - 1.3
D = 1.0
F = 0
To calculate your GPA check out:
https://www.mathcelebrity.com/gpa.php
Walks you through step by step how to solve direct variation and inverse variation equations.
Shows you now to get the constant of variation.
Use the calculator at:
https://www.mathcelebrity.com/variation.php
Demos all 4 kinematic equations and shows you the strategy to pick the applicable equation for problems.
Solves for acceleration, displacement, time, initial velocity, and final velocity.
Calculator:
https://www.mathcelebrity.com/kinematic.php
De Morgan's Laws Proof and real world application.
De Morgan's Laws are transformational Rules for 2 Sets
1) Complement of the Union Equals the Intersection of the Complements
not (A or B) = not A and not B
2) Complement of the Intersection Equals the Union of the Complements
not (A and B) = not A or not B
Take 2 Sets A and B
Union = A U B ← Everything in A or B
Intersection = A ∩ B ← Everything in A and B
U = Universal Set (All possible elements in your defined universe)
Complement = A’ Everything not in A, but in the Universal Set
How To Write Set Notation for set properties such as:
Union - Elements in Set A or Set B
Intersection - Elements in Set A and Set B
Cardinality - the count of elements within the set
Elements - Items within set. Can be numeric or objects
Empty Set - The set of nothing
Such That - Defining which elements belong to a set
Universal Set - The set of all possible values
Complement - Everything not in the set in the Universal Set
Subset - A subset is a set of elements which are all an element of another set
This document provides guidance on solving problems involving finding the sum of consecutive integers. It explains that you need to determine the number of integers being summed and whether they are consecutive evens, odds, or neither. It then demonstrates applying the appropriate formula - adding 1 or 2 to each successive integer - to set up and solve example problems finding sets of consecutive integers whose sum equals a given value.
Turn Anonymous Website Traffic Into Prospects In the Buying CycleDon Sevcik
Turn Anonymous Website Traffic Into Prospects In the Buying Cycle. Learn how to convert the 98% of anonymous traffic that lands on your website. Take free traffic and convert it into customers.
The document discusses how blockchain technology can change the insurance industry. It explains that blockchain uses a distributed digital ledger that is incorruptible to record transactions. This allows for transparency, fraud prevention, and no single point of failure. Smart contracts enable the automatic execution of contracts without middlemen. For insurance, the blockchain can be used to verify property ownership and claims history, remove the need for certificates and audits, and provide permanent provenance and authentication of identities and transactions.
This presentation includes basic of PCOS their pathology and treatment and also Ayurveda correlation of PCOS and Ayurvedic line of treatment mentioned in classics.
Assessment and Planning in Educational technology.pptxKavitha Krishnan
In an education system, it is understood that assessment is only for the students, but on the other hand, the Assessment of teachers is also an important aspect of the education system that ensures teachers are providing high-quality instruction to students. The assessment process can be used to provide feedback and support for professional development, to inform decisions about teacher retention or promotion, or to evaluate teacher effectiveness for accountability purposes.
The simplified electron and muon model, Oscillating Spacetime: The Foundation...RitikBhardwaj56
Discover the Simplified Electron and Muon Model: A New Wave-Based Approach to Understanding Particles delves into a groundbreaking theory that presents electrons and muons as rotating soliton waves within oscillating spacetime. Geared towards students, researchers, and science buffs, this book breaks down complex ideas into simple explanations. It covers topics such as electron waves, temporal dynamics, and the implications of this model on particle physics. With clear illustrations and easy-to-follow explanations, readers will gain a new outlook on the universe's fundamental nature.
हिंदी वर्णमाला पीपीटी, hindi alphabet PPT presentation, hindi varnamala PPT, Hindi Varnamala pdf, हिंदी स्वर, हिंदी व्यंजन, sikhiye hindi varnmala, dr. mulla adam ali, hindi language and literature, hindi alphabet with drawing, hindi alphabet pdf, hindi varnamala for childrens, hindi language, hindi varnamala practice for kids, https://www.drmullaadamali.com
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
Introduction to AI for Nonprofits with Tapp NetworkTechSoup
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
A Strategic Approach: GenAI in EducationPeter Windle
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.
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Dr. Vinod Kumar Kanvaria
Exploiting Artificial Intelligence for Empowering Researchers and Faculty,
International FDP on Fundamentals of Research in Social Sciences
at Integral University, Lucknow, 06.06.2024
By Dr. Vinod Kumar Kanvaria
বাংলাদেশের অর্থনৈতিক সমীক্ষা ২০২৪ [Bangladesh Economic Review 2024 Bangla.pdf] কম্পিউটার , ট্যাব ও স্মার্ট ফোন ভার্সন সহ সম্পূর্ণ বাংলা ই-বুক বা pdf বই " সুচিপত্র ...বুকমার্ক মেনু 🔖 ও হাইপার লিংক মেনু 📝👆 যুক্ত ..
আমাদের সবার জন্য খুব খুব গুরুত্বপূর্ণ একটি বই ..বিসিএস, ব্যাংক, ইউনিভার্সিটি ভর্তি ও যে কোন প্রতিযোগিতা মূলক পরীক্ষার জন্য এর খুব ইম্পরট্যান্ট একটি বিষয় ...তাছাড়া বাংলাদেশের সাম্প্রতিক যে কোন ডাটা বা তথ্য এই বইতে পাবেন ...
তাই একজন নাগরিক হিসাবে এই তথ্য গুলো আপনার জানা প্রয়োজন ...।
বিসিএস ও ব্যাংক এর লিখিত পরীক্ষা ...+এছাড়া মাধ্যমিক ও উচ্চমাধ্যমিকের স্টুডেন্টদের জন্য অনেক কাজে আসবে ...
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!
1. Divisibility Rules
● Divisibility means, can we divide by a number, and get an
integer for a result?
● We’ll review rules for 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
1
2. Divisibility Rule for 2
● A number is divisible by 2 if the last digit of the number
ends in (0, 2, 4, 6, 8)
● 120 ← Divisible by 2 since the last digit is 0
● 121← Not divisible by 2 since the last digit is not (0, 2, 4,
6, 8)
2
3. Divisibility Rule for 3
● A number is divisible by 3 if the last digit of the sum of its
digits is divisible by 3
● 375
○ Sum of digits is (3 + 7 + 5) = 15
○ 15/3 = 5 ← Divisible by 3 since the sum of digits is
divisible by 3
● 121
○ ← Not divisible by 3 since the sum of digits is (1 + 2 +
1) = 4. 4/3 = 1.3333 3
4. Divisibility Rule for 4
● A number is divisible by 4 if the number formed by the last
2 digits is divisible by 4
● 120 ← Divisible by 4 since the last 2 digits of 20 divided
by 4 = 5
● 121 ← Not Divisible by 4 since the last 2 digits of 21
divided by 4 = 5.25 which is not an integer
4
5. Divisibility Rule for 5
● A number is divisible by 5 if the last digit of the number
ends in 0 or 5
● 120 ← Divisible by 5 since the last digit is 0
● 121← Not divisible by 5 since the last digit is not 0 or 5
5
6. Divisibility Rules for 6
● A number is divisible by 6 if it is divisible by 2 and divisible
by 3
1. Run the divisibility test for 2
2. Run the divisibility test for 3
3. If (1) passes and (2) passes, then the number is divisible
by 6
6
7. Divisibility Rules for 7
1. Take the last digit of the number you’re testing and double it.
2. Subtract this number from the rest of the digits in the original number.
3. If this new number is either 0 or if it’s a number that’s divisible by 7, then your
number is divisible by 7.
4. If you can’t tell if the new number is divisible by 7, repeat Step 1 with the
smaller number.
5. 245 → Double 5, we get 10. Subtract 24 - 10 = 14 which is divisible by 7
7
8. Divisibility Rules for 8
● A number is divisible by 8 if the number formed by the
last 3 digits is divisible by 8
● 3624
● 624 is divisible by 8 → 78
8
9. Divisibility Rules for 9
● A number is divisible by 9 if the sum of its digits are
divisible by 9
● 342 is divisible by 9 since (3 + 4 + 2) = 9
● 9 is divisible by 9
9
10. Divisibility Rule for 10
● A number is divisible by 10 if the last digit of the number
ends in 0
● 120 ← Divisible by 10 since the last digit is 0
● 121← Not divisible by 10 since the last digit is not 0
10
11. Divisibility Rule for 11
● A number is divisible by 11 either of the following
conditions are true
○ Sum of the odd digits - Sum of the even digits is 0
○ Sum of the odd digits - Sum of the even digits is
divisible by 11
● 121 is divisible by 11 since:
○ Sum of the odd digits (1 + 1)
○ Sum of the even digits is 2
○ Sum of odd digits - Sum of even digits is 2 - 2 = 0 11