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This document provides an overview of negative numbers and integer addition. It defines negative numbers as numbers less than zero, opposite numbers as having the same distance from zero in the opposite direction, and integers as including all whole numbers and their opposites on the number line including zero. It then presents two rules for integer addition: 1) if signs are the same, add the numbers and use that sign, and 2) if signs are different, subtract the smaller number from the larger and use the larger number's sign. Several examples are worked out using a number line to visually demonstrate integer addition.
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1. To subtract integers, add the opposite of the second number instead of subtracting.
2. Adding a "zero pair" does not change the difference of a subtraction problem, but allows negatives to be subtracted by providing positive chips to remove.
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The document defines positive and negative numbers, with positive numbers being greater than zero and negative numbers being less than zero. It provides examples of how negative numbers are used to measure temperatures below zero, depths under sea level, and debt. It then explains how to add and subtract integers using a number line, with direction determined by the sign of the number. Finally, it briefly discusses multiplying integers and taking the square root of positive and negative numbers.
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The document discusses the rule for subtracting integers. The rule states that to subtract, you add the opposite. So for example, 5 - (-3) means 5 + 3, since the opposite of -3 is 3. It provides examples of subtracting integers like -5 - (-3) and -8 - (-4) using the rule. It also has practice problems for students to evaluate expressions with variables like finding a - b - (-6) when a = 8 and b = -15.
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This document defines integers and the rules for adding and subtracting them. It explains that integers include all whole numbers and their opposites on the number line, including zero. It provides two main rules for adding integers: 1) if the signs are the same, add the numbers and use that sign, and 2) if the signs are different, subtract the smaller number from the larger and use the sign of the number with the larger absolute value. It also notes that subtracting a negative number is the same as adding a positive number.
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The document provides examples and instructions for adding and subtracting integers using a number chip method. It explains that to add integers with the same sign, the numbers are added together, while to add integers with different signs, the smaller number is subtracted from the larger number and the sign of the larger number determines the sign of the answer. For subtracting integers, the opposite of the number being subtracted is added instead. Several examples are worked through to demonstrate these methods.
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1. To subtract integers, add the opposite of the second number instead of subtracting.
2. Adding a "zero pair" does not change the difference of a subtraction problem, but allows negatives to be subtracted by providing positive chips to remove.
3. The number line can be used to model integer subtraction by moving left for negatives and right for positives.
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The document defines positive and negative numbers, with positive numbers being greater than zero and negative numbers being less than zero. It provides examples of how negative numbers are used to measure temperatures below zero, depths under sea level, and debt. It then explains how to add and subtract integers using a number line, with direction determined by the sign of the number. Finally, it briefly discusses multiplying integers and taking the square root of positive and negative numbers.
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The document provides an introduction to integers including:
- Definitions of positive and negative numbers and their representation on number lines
- Rules for comparing and ordering integers
- Real-world examples of how integers are used to represent things like temperature, sea level, and money
- Key concepts and rules for adding and subtracting integers including keeping the sign of the first integer the same and changing the operation and second integer's sign for subtraction
- Examples of using number lines to visually represent integer operations
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- Integers include whole numbers and their opposites, and are represented on the number line.
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- For multiplication, the product is positive if the factors have the same sign and negative if the signs are different.
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This document contains a math teacher's daily lesson plan and materials for teaching integers. It includes:
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3) More examples are provided to illustrate subtracting integers with the same or different signs, including cancelling out negatives.
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Positive numbers are greater than zero, while negative numbers are less than zero. Negative numbers are used to represent temperatures below zero, debt, and depths under sea level. There are two rules for adding integers: 1) if the signs are the same, add the numbers and keep the sign, 2) if the signs are different, subtract the smaller absolute number from the larger and use the sign of the larger number. Integers can also be added using a number line by moving left for negative numbers and right for positive.
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The document provides an overview of adding integers and examples worked through step-by-step. It discusses the rules for adding integers with the same sign versus different signs. Specifically, it states that for the same sign you add the numbers and keep the sign, and for different signs you subtract the numbers and keep the sign of the number with the larger absolute value. Examples are provided to demonstrate applying these rules to evaluate integer expressions.
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This document provides an overview of adding and subtracting integers. It defines a number line and absolute value. It presents rules for adding and subtracting integers, including same sign add and keep, different sign subtract, and copying the sign of the higher number. Examples are given using algebra tiles and the number line. The document concludes with an activity called "Roll to Win" that has students practice adding and subtracting integers by rolling a die and flipping a coin to determine positive or negative values.
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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!
addition and subtraction of integer by Mega Asmara
This document discusses adding and subtracting integers. It explains that adding a positive number and a negative number results in subtraction, while subtracting a negative number results in addition. Examples are provided of adding and subtracting different combinations of positive and negative integers. An exercise at the end invites the reader to practice integer addition and subtraction problems.
Negative Numbers 1
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This document defines positive and negative numbers and provides rules for adding integers. It explains that:
1) Positive numbers are greater than zero, negative numbers are less than zero, and opposite numbers are the same distance from zero in opposite directions.
2) When adding integers, if the signs are the same, add the numbers and keep the sign; if the signs are different, subtract the numbers and keep the sign of the larger number.
3) Integers can be added using a number line by counting right for positive numbers and left for negative numbers.
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The document defines integers as numbers on the positive and negative number lines including zero. It provides rules for adding and subtracting integers, such as adding numbers with the same sign and subtracting numbers with different signs. It also explains how to prove that subtracting a negative number is the same as adding a positive number using the subtraction checking method.
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The document provides an introduction to integers including:
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- Rules for comparing and ordering integers
- Real-world examples of how integers are used to represent things like temperature, sea level, and money
- Key concepts and rules for adding and subtracting integers including keeping the sign of the first integer the same and changing the operation and second integer's sign for subtraction
- Examples of using number lines to visually represent integer operations
- A method for proving that subtracting a negative number is the same as adding a positive number
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The document discusses integers and the number line. It introduces addition and multiplication rules for integers.
- Integers include whole numbers and their opposites, and are represented on the number line.
- For addition, the sign of the sum is the same as the signs of the addends if they are the same, and follows the sign of the larger addend if the signs are different.
- For multiplication, the product is positive if the factors have the same sign and negative if the signs are different.
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This document provides instruction on adding, subtracting, multiplying, and dividing numbers with negative signs. It begins by defining positive and negative numbers on a number line. It then demonstrates how to perform each operation with positive and negative numbers through examples. Rules are provided for multiplying and dividing with signs, such as two positives or a positive and negative multiplying to a positive or negative. The document encourages practicing these concepts through exercises in a textbook. Overall, it teaches the essential rules and mechanics for performing the basic arithmetic operations with positive and negative numbers.
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This document contains a math teacher's daily lesson plan and materials for teaching integers. It includes:
1) A warm up exercise on writing numbers in standard and exponential form.
2) A joke and information about midterm grades being sent home and late work policies.
3) An integer homework assignment and test answers key.
4) A lesson on identifying positive and negative integers on a number line, with examples of using integers to represent real world situations like altitude, money amounts, and yards gained/lost.
Integers adding and subtracting
1) Adding integers follows the rules of keeping the sign if the integers have the same sign or taking the sign of the larger number if they have different signs.
2) Subtracting integers ignores the signs and subtracts the numbers, taking the sign of the larger integer.
3) More examples are provided to illustrate subtracting integers with the same or different signs, including cancelling out negatives.
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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.
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The document provides rules for performing integer operations such as addition, subtraction, multiplication, and division. It states that for addition, signs are kept if they are the same and the number farthest from zero determines the sign if they differ. For subtraction, it is changed to addition by changing the subtraction sign to addition and the sign of the second number. For multiplication and division, an even number of negative signs yields a positive answer and an odd number yields a negative answer.
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Positive numbers are greater than zero, while negative numbers are less than zero. Negative numbers are used to represent temperatures below zero, debt, and depths under sea level. There are two rules for adding integers: 1) if the signs are the same, add the numbers and keep the sign, 2) if the signs are different, subtract the smaller absolute number from the larger and use the sign of the larger number. Integers can also be added using a number line by moving left for negative numbers and right for positive.
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The document discusses subtracting integers. It explains that when subtracting integers with the same sign, the answer is always negative. When subtracting integers with different signs, subtract the smaller number from the larger number and the sign of the answer is the sign of the larger number. It provides examples of subtracting integers with both the same and different signs.
Subtracting integers
The document discusses subtracting integers using number lines, algebra tiles, and the rule for subtracting integers. It provides examples of subtracting integers with each method and asks students to practice subtracting integers using the different approaches. The document also includes a section connecting subtracting integers to concepts of poverty, hunger, and righteousness from the Beatitudes in the Gospel of Matthew.
Directed numbers
The document introduces how to add and subtract directed numbers on a number line. It explains that if the directed numbers have the same sign, you add their values, and if they have different signs, you subtract. It provides examples of adding 6 + -3 and subtracting -4 - -9, illustrating starting at the first number on the number line and moving the corresponding number of places based on the operation and second number. The answer is found by labeling the final location.
Operations with integers
Integers include all whole numbers and their opposites, and zero. The key rules for operations with integers are:
1) Adding integers of the same sign yields a positive sum, while those of opposite signs subtracts and uses the sign of the larger number.
2) Multiplying and dividing integers follows sign rules - same signs yield a positive result, different signs a negative one.
3) To subtract integers, change the operation to addition by changing the subtraction sign to addition and changing the sign of the number being subtracted.
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This document defines integers and provides examples of adding positive and negative integers. It explains that integers are whole numbers that do not have decimals or fractions. Positive integers increase as you move to the right of zero on a number line, while negative integers decrease as you move left. The document also presents two methods for adding integers: using a number line by moving left and right, and using the absolute value of numbers and subtraction.
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The document provides an overview of adding integers and examples worked through step-by-step. It discusses the rules for adding integers with the same sign versus different signs. Specifically, it states that for the same sign you add the numbers and keep the sign, and for different signs you subtract the numbers and keep the sign of the number with the larger absolute value. Examples are provided to demonstrate applying these rules to evaluate integer expressions.
lesson plan on Addition & subtraction of integers
This document provides an overview of adding and subtracting integers. It defines a number line and absolute value. It presents rules for adding and subtracting integers, including same sign add and keep, different sign subtract, and copying the sign of the higher number. Examples are given using algebra tiles and the number line. The document concludes with an activity called "Roll to Win" that has students practice adding and subtracting integers by rolling a die and flipping a coin to determine positive or negative values.
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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!
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Negative numbers can be added or subtracted in simple ways. When adding a positive and negative number, the result is negative. When adding two negative numbers, the result remains negative. When subtracting a positive from a negative, the result is negative. When subtracting a negative from a negative, the operation turns into addition where the negatives are made positive.
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Part II covers integer addition rules - signs the same means keep the sign, signs different means subtract the numbers and keep the larger absolute value sign. Number lines demonstrate adding integers visually.
Part III explains that subtracting a negative number is the same as adding a positive number through changing operation and number signs. More examples solidify this rule.
Part IV proves this subtraction rule is true by using the same checking method as regular subtraction equations
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Apples are often enjoyed fresh and raw, as they are a natural source of vitamins, minerals, and antioxidants. They can also be used in cooking, baking, and as an ingredient in sauces and desserts. Apples are known for their health benefits, as they contain fibers which can aid in digestion, and are a good source of Vitamin C, which can help boost the immune system.
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Mysore WhatsApp group:- https://chat.whatsapp.com/EhqtHtCC75vCAX7gaO842N
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Priya Shaw - https://www.linkedin.com/in/priya-shaw
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9
Changes in vegetation cover refer to variations in the distribution, composition, and overall
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Cha
- 1. WELCOME……..
- 3. Negative Numbers by chandini sivan B.Ed mathematics Reg. no 13304003 N.S.S Training college, pandalam
- 4. Definition • Negative number – a number less than zero. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
- 5. Definition • Opposite Numbers – numbers that are the same distance from zero in the opposite direction -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
- 6. Definition • Integers – Integers are all the whole numbers and all of their opposites on the negative number line including zero. 7 opposite -7
- 7. Negative Numbers Are Used to Measure Temperature
- 8. Negative Numbers Are Used to Measure Under Sea Level 30 20 10 0 -10 -20 -30 -40 -50
- 9. Hint • If you don’t see a negative or positive sign in front of a number it is positive. + 9
- 10. Integer Addition Rules • Rule #1 – If the signs are the same, pretend the signs aren’t there. Add the numbers and then put the sign of the addends in front of your answer. 9 + 5 = 14 -9 + -5 = -14
- 11. Solve the Problems • -3 + -5 = • 4 + 7 = • (+3) + (+4) = • -6 + -7 = • 5 + 9 = • -9 + -9 = -8 11 7 -13 14 -18
- 12. Integer Addition Rules • Rule #2 – If the signs are different pretend the signs aren’t there. Subtract the smaller from the larger one and put the sign of the larger one in front of your answer. -9 + +5 = Larger number 9 - 5 = 4 Answer = - 4
- 13. Solve These Problems • 3 + -5 = • -4 + 7 = • (+3) + (-4) = • -6 + 7 = • 5 + -9 = • -9 + 9 = 5 – 3 = 2 -2 3 -1 1 -4 0 7 – 4 = 3 4 – 3 = 1 7 – 6 = 1 9 – 5 = 4 9 – 9 = 0
- 14. One Way to Add Integers Is With a Number Line When the number is positive count to the right. When the number is negative count to the left. - + -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
- 15. One Way to Add Integers Is With a Number Line +3 + -5 = -2 + -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -
- 16. One Way to Add Integers Is With a Number Line -2 + +8 = +6 - -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 +
- 17. One Way to Add Integers Is With a Number Line - -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 + -5 + +2 = -3
- 18. One Way to Add Integers Is With a Number Line - -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 - -4 + -2 = -6
- 19. One Way to Add Integers Is With a Number Line - -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 - -2 + -3 = -5
- 20. One Way to Add Integers Is With a Number Line -1 + -4 = -5 - -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -
- 21. One Way to Add Integers Is With a Number Line - -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 - -4 + -1 = -5
- 22. One Way to Add Integers Is With a Number Line + -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 + 4 + 1 = 5
- 23. One Way to Add Integers Is With a Number Line + -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 + 3 + 2 = 5
- 24. One Way to Add Integers Is With a Number Line + -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 + 1 + 5 = 6
- 25. Thank you………