Properties of addition
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There are four main properties of addition: commutative, associative, identity, and inverse. The commutative property means the order of numbers does not change the sum. The associative property means grouping of numbers can change without changing the sum. The identity property means adding zero to a number does not change the number.
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Properties of addition
This document discusses three properties of addition: 1) The commutative property states that changing the order of numbers being added does not change the sum. 2) The associative property means that regrouping addends does not change the sum. 3) The identity property says that adding zero to a number results in the original number.
Properties of Addition
The document discusses three properties of addition: the commutative property, which states that changing the order of addends does not change their sum; the associative property, which allows addends to be grouped in any way without changing the sum; and the identity property, which states that adding zero to any number results in the original number. Examples are provided to illustrate each property.
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This document provides formulas and properties for algebra 1 including the slope formula, distance formula, midpoint formula, commutative property, associative property, distributive property, identity property of addition, and identity property of multiplication. It defines slope as "rise over run" and provides the formulas for calculating slope, distance between two points, and midpoint between two points. It also explains the commutative, associative, and distributive properties and provides examples of each.
2 1-100830171027-phpapp02-120930230737-phpapp01
This document discusses three properties of addition: the associative property, commutative property, and identity property. The associative property states that the grouping of addends does not change the sum. The commutative property says that the order of addends does not change the sum. The identity property indicates that adding zero to any number results in the original number. Examples are provided to illustrate each property.
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1) Rules for adding and subtracting integers include keeping the sign the same when adding like signs, and using the sign of the larger number when subtracting or adding opposite signs.
2) When multiplying integers, the sign of the product is determined by the number of negative factors. If even, the product is positive, and if odd, the product is negative.
3) Integers are closed under addition, subtraction, and multiplication, and follow properties like commutativity and associativity for these operations.
Properties of Addition
The document discusses the three properties of addition: commutative property, associative property, and identity property. It provides examples to illustrate each property. The commutative property states that the order of numbers being added does not matter, such as 5+4=4+5. The associative property refers to grouping of numbers, where the grouping does not change the sum, such as (3+5)+8=3+(5+8). The identity property indicates that adding zero to a number does not change the number, like 9+0=9. The document then provides practice problems and asks the reader to identify which property each example demonstrates.
Additionproperties.pp
The document discusses three properties of addition: the commutative property, the associative property, and the identity property. The commutative property states that changing the order of the addends does not change the sum, so a + b = b + a. The associative property allows adding groups of numbers in any order without changing the result, so (a + b) + c = a + (b + c). The identity property indicates that adding zero does not change the number, so a + 0 = a.
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This document provides an overview of integers and operations on integers. It defines integers as natural numbers, 0, and negatives of counting numbers. It then discusses the properties of addition, subtraction, multiplication and division of integers, including:
- Adding two integers of the same sign by adding their values, and of opposite signs by taking the difference of their absolute values.
- Subtracting integers by adding the number to the negative of the number being subtracted.
- Multiplying integers of the same sign by multiplying their values, and of opposite signs by multiplying their values and assigning a negative sign to the product.
- Dividing integers of the same sign by dividing their values, and of opposite signs by dividing their values
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Properties of addition
This document discusses three properties of addition: 1) The commutative property states that changing the order of numbers being added does not change the sum. 2) The associative property means that regrouping addends does not change the sum. 3) The identity property says that adding zero to a number results in the original number.
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The document discusses three properties of addition: the commutative property, which states that changing the order of addends does not change their sum; the associative property, which allows addends to be grouped in any way without changing the sum; and the identity property, which states that adding zero to any number results in the original number. Examples are provided to illustrate each property.
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This document provides formulas and properties for algebra 1 including the slope formula, distance formula, midpoint formula, commutative property, associative property, distributive property, identity property of addition, and identity property of multiplication. It defines slope as "rise over run" and provides the formulas for calculating slope, distance between two points, and midpoint between two points. It also explains the commutative, associative, and distributive properties and provides examples of each.
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This document discusses three properties of addition: the associative property, commutative property, and identity property. The associative property states that the grouping of addends does not change the sum. The commutative property says that the order of addends does not change the sum. The identity property indicates that adding zero to any number results in the original number. Examples are provided to illustrate each property.
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1) Rules for adding and subtracting integers include keeping the sign the same when adding like signs, and using the sign of the larger number when subtracting or adding opposite signs.
2) When multiplying integers, the sign of the product is determined by the number of negative factors. If even, the product is positive, and if odd, the product is negative.
3) Integers are closed under addition, subtraction, and multiplication, and follow properties like commutativity and associativity for these operations.
Properties of Addition
The document discusses the three properties of addition: commutative property, associative property, and identity property. It provides examples to illustrate each property. The commutative property states that the order of numbers being added does not matter, such as 5+4=4+5. The associative property refers to grouping of numbers, where the grouping does not change the sum, such as (3+5)+8=3+(5+8). The identity property indicates that adding zero to a number does not change the number, like 9+0=9. The document then provides practice problems and asks the reader to identify which property each example demonstrates.
Additionproperties.pp
The document discusses three properties of addition: the commutative property, the associative property, and the identity property. The commutative property states that changing the order of the addends does not change the sum, so a + b = b + a. The associative property allows adding groups of numbers in any order without changing the result, so (a + b) + c = a + (b + c). The identity property indicates that adding zero does not change the number, so a + 0 = a.
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This document provides an overview of integers and operations on integers. It defines integers as natural numbers, 0, and negatives of counting numbers. It then discusses the properties of addition, subtraction, multiplication and division of integers, including:
- Adding two integers of the same sign by adding their values, and of opposite signs by taking the difference of their absolute values.
- Subtracting integers by adding the number to the negative of the number being subtracted.
- Multiplying integers of the same sign by multiplying their values, and of opposite signs by multiplying their values and assigning a negative sign to the product.
- Dividing integers of the same sign by dividing their values, and of opposite signs by dividing their values
Properties of Addition
This document discusses the three properties of addition: the commutative property, associative property, and identity property. [1] The commutative property states that changing the order of the numbers being added does not change the sum, so A + B = B + A. [2] The associative property means that grouping numbers differently when adding does not change the total, so (A + B) + C = A + (B + C). [3] The identity property identifies zero as the number that does not change the value of any number when added, so A + 0 = A.
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This document discusses the three properties of addition: the commutative property, the associative property, and the identity property. The commutative property states that changing the order of numbers being added does not change the sum, such as A + B = B + A. The associative property means that grouping numbers differently when adding them does not change the result, such as (A + B) + C = A + (B + C). The identity property refers to the fact that adding zero to any number does not change its value, so A + 0 = A.
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1.4 prop of add
The document discusses properties of addition that can be used to simplify algebraic expressions:
1) The Commutative Property states that the order of terms does not matter in addition, so a + b = b + a.
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This document discusses properties of addition, including the commutative property, associative property, and identity property. It provides examples of each:
- The commutative property allows switching the order of addition problems without changing the sum, such as 6 + 5 = 5 + 6.
- The associative property states that changing the grouping of numbers in an addition problem does not change the sum, like (6 + 3) + 5 = 6 + (3 + 5).
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This document discusses the three properties of addition: the commutative property, the associative property, and the identity property. The commutative property states that changing the order of numbers being added does not change the sum, such as A + B = B + A. The associative property means that grouping numbers differently when adding them does not change the result, such as (A + B) + C = A + (B + C). The identity property refers to the fact that adding zero to any number does not change its value, so A + 0 = A.
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1) The Commutative Property states that the order of terms does not matter in addition, so a + b = b + a.
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- Evaluating expressions involves substituting numbers for variables.
- Like terms can be added or subtracted, while unlike terms cannot be combined.
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This document discusses properties of addition, including the commutative property, associative property, and identity property. It provides examples of each:
- The commutative property allows switching the order of addition problems without changing the sum, such as 6 + 5 = 5 + 6.
- The associative property states that changing the grouping of numbers in an addition problem does not change the sum, like (6 + 3) + 5 = 6 + (3 + 5).
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2.2 notes
This document discusses how to add real numbers by explaining that numbers with the same sign are added while those with different signs are subtracted, taking the sign of the larger number. It also outlines properties of addition such as commutativity, associativity, identity, and inverse. Examples are provided of adding integers and evaluating expressions by substituting values for variables.
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Chapter wise All Notes of First year Basic Civil Engineering.pptx
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Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
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Properties of addition
- 2. TYPES OF PROPERTIES There are mainly 4 types of properties of Addition Commulative Property Associative Property Identity Property
- 3. COMMULATIVE PROPERTY In this property the Product of numbers do not change when the Order/Position of numbers are changed. For example:- 12 x 11 = 131 Product will remain same 11 x 12 = 131 In this case we have seen that despite changing the position of numbers , their Product will remain same.
- 4. ASSOCIATIVE PROPERTY In this property ,while multiplying two or more numbers, we can change the grouping of numbers. For example:- 3 x (4 x 2) = 24 Product will remain same (3 x 4) x 2 = 24 In this example we have seen that despite change of grouping of number, their Product will remain same.
- 5. IDENTITY PROPERTY In this property ,the sum of zero and any number will always be the same number means while adding zero to any number will have not any effect on the number . For example:- 241 + 0 = 241 (Zero have’t any effect on sum) 212 + 0 + 316 = 212 + 316 (Zero have’t any effect on sum) In this way we have seen that a number havn’t any effect of zero in its addition.
- 6. THANK YOU