Properties of Integer Operations and Examples
Properties of Integer Operations and Examples – After finding out definition of integers and its types, then aroundknowledge.com returns to discussing related matters, namely the properties of integer operations along with examples. Here's the full discussion.
Properties of Integer Operations and Examples
Let's discuss in full here.
Properties of Integer Operations and Examples
Here are 4 properties of integer operations that need attention:
Closed Nature
For each integer a and b, the formula applies:
a + b = c where c is also an integer
Example: 5 + 3 = 8
Commutative (Exchange) Properties
In addition and multiplication the result will remain the same if the positions of the two numbers are swapped between one another. This is because addition and multiplication have commutative or exchange properties. When adding and multiplying integers a and b, the formula always applies:
♦ Addition (+) ⇒ a + b = b + a
For example: 7 + 5 = 5 + 7
♦ Multiplication (x) ⇒ a x b = b x a
For example: 9 x 6 = 6 x 9
Associative Properties (Grouping)
In grouping on addition and multiplication, the results of addition and multiplication will remain the same if done from anywhere. Grouping in the addition and multiplication of integers a, b, and c always applies the formula:
♦ Addition (+) ⇒ (a + b) + c = a + (b + c)
For example: 7 + (2 + 10) = (7 + 2) + 10
♦ Multiplication (x) ⇒ (a x b) x c = a x (b x c)
For example: (8 x 2) x 3 = 8 x (2 x 3)
Distributive Properties (Spread)
In multiplication and addition, the distribution property applies. The formula applies to every integer a, b, and c:
♦ Addition (+) ⇒ a x (b + c) = (a x b) + (a x c)
For example: 5 x ( 3 + 5) = (5 x 3) + (5 x 5)
♦ Multiplication (x) ⇒ a x (b – c) = (a x b) – (a x c)
For example: 7 x ( 4 – 2) = (7 x 4) – (7 x 2)
Those are the 4 properties of integers, in the following discussion we will discuss integer operations. Hopefully a brief explanation this time about Properties of Integer Operations and Examples useful and thank you so much.
List of contents
Recommendation:
- Class 6 Farewell Speech Text: Main Contents, Characteristics,… Farewell Speech Text for Class 6: Main Contents, Characteristics, Purpose and Examples of Speeches - What is the composition of the text of farewell speech for class 6 which is good and true and touching?
- Friendship Short Stories: Definition, Writing Tips and Examples Friendship Short Stories: Definition, Writing Tips and Examples - What are Friendship Short Stories like? On this occasion, Seputarknowledge.co.id will discuss whether it is the Short Story of Friendship and other things about it. Let's see together…
- Fractional Numbers: Definition and Types Fractional Numbers: Definition and Types - Here we will discuss one of the subjects that is said to be difficult. The subject is mathematics, for some people say so. In math...
- Sharia Accounting: Understanding According to Experts, Basic… Syari'ah Accounting: Understanding According to Experts, Legal Basis, Characteristics, Purpose, Principles, Characteristics And The advantages - What is sharia accounting and its advantages? discuss it and...
- Islamic Words of Wisdom Islamic Words of Wisdom - On this occasion, SeputihKnowledge.co.id will discuss Islamic Words of Wisdom and examples. Let's look at the discussion together in the article below to get more...
- The formula for calculating the surface area of a tube without a lid Formula for calculating the surface area of a tube without a lid - How to calculate the surface area of a tube without a lid close?, On this occasion Seputarknowledge.co.id will discuss it and of course other formulas as well covered it. Let us…
- Boyle's Law: Definition, Formulas, Applications and Examples… Boyle's Law: Definition, Formulas, Applications and Examples of Problems - In this discussion we will explain about Boyle's law. Which includes the meaning of Boyle's law, the Boyle's law formula, the application of…
- Examples of Flat Shapes: Types, Characteristics and Formulas of Flat Shapes Examples of Flat Shapes: Types, Properties and Formulas of Flat Shapes - What are the examples of Flat Shapes?
- Three Variable Linear Equation System: Features, Components,… System of Three Variable Linear Equations: Features, Components, Solving Methods and Example Problems - What is in what do you mean by a system of three-variable equations? On this occasion, Se regarding the knowledge.co.id will discuss it...
- √ Collection of Trigonometry Material Topics (Complete Discussion) Collection of Trigonometry Material Topics (Complete Discussion) - This time we will discuss trigonometry material. Trigonometry is a branch of mathematics that deals with the relationships between angles and sides in triangles. Gathering…
- Environmental Speech: Definition, Purpose, Characteristics and… Environmental Speech: Definition, Purpose, Characteristics and Examples - How is the text of environmental speech structured? what's good and right?, On this occasion, Seputarknowledge.co.id will discuss it and of course things Which…
- Faith in Qada and Qadar: Understanding, Proof, Wisdom and… Faith in Qada and Qadar: Definition, Proposition, Wisdom and Their Functions - What is meant by Faith in Qada and Qadar?
- Pythagoras: History, Theorem Formulas and Example Problems Pythagoras: History, Theorem Formulas and Example Problems - Who is Pythagoras with his Theorem? On this occasion, Seputarknowledge.co.id will discuss what Pythagoras is with formulas and examples the question. Let us…
- Geometry Series: Definition, Formulas, Properties and Example Problems Geometry Series: Definition, Formulas, Properties and Example Problems - What is a geometric series?
- √ Definition of Mean, Median, Mode (Formulas, Example Questions) Definition of Mean, Median, and Mode In statistics, there is a measure of the concentration of data. Some measures of data centering that you need to know are the mean, median, and mode. What are the mean, median, and mode...
- Karate: Definition, History, Basic Techniques and Flow Karate: Definition, History, Basic Techniques and Trends - What is Karate? On this occasion, AboutKnowledge.co.id will discuss what Karate is and other things about it. Let's take a look at the discussion on...
- Types of Official Letters, Characteristics, Functions and Examples Types of Official Letters, Characteristics, Functions and Examples - What are the types of official letters? On this occasion, Seputarknowledge.co.id will discuss it and of course about other things as well covered it. Let…
- Definition of Floor Gymnastics: History, Types, Elements and… Definition of Floor Gymnastics: History, Types, Elements and Benefits of Floor Gymnastics - What is Floor Gymnastics and examples? On this occasion, Seputarknowledge.co.id will discuss Floor Gymnastics...
- Resultant Force: Definition, Formulas, Newton's Laws, Example Problems… Resultant Force: Definition, Formulas, Newton's Laws, Example Problems and Discussion - What is meant by resultant force? On this occasion, Seputarknowledge.co.id will discuss it, including formulas and of course…
- Logarithmic Equations: Formulas, Properties, Example Problems And… Logarithmic Equations: Formulas, Properties, Examples of Problems and their Discussion - What are Logarithmic Equations and Examples the problem?, On this occasion, Seputarknowledge.co.id will discuss it and of course about other things Also…
- Geographical Location of Indonesia: Definition, Impact,… Geographical Location of Indonesia: Definition, Impact, Supporting Factors, Strengths and Weaknesses - What is meant with the Geographical Location of Indonesia? On this occasion, Se regarding the knowledge.co.id will discuss the geographical location Indonesia…
- Motivational short stories: definition, writing tips and examples Motivational Short Stories: Definition, Writing Tips and Examples - What is a Motivational Short Story?, On On this occasion, Seputarknowledge.co.id will discuss whether it is the Short Story of Friendship and other things about it. Let's see…
- Preface: Definition, Structure and Examples Preface: Definition, Structure and Examples - How to write a good Preface ?On this occasion, Around the Knowledge.co.id will discuss what is the Preface and other things about it. Let's see…
- Roman Numerals: History, Basic Numbers, How to Write, Formulas… Roman Numerals: History, Basic Numbers, How to Write, Formulas and Disadvantages - Do you know what they are Roman numerals and how to read them? covers…
- DNA and RNA: Definition, Characteristics, Differences and… DNA and RNA: Definition, Characteristics, Differences and Discussion of the Process - What are the meanings and differences of DNA and RNA? On this occasion, Seputarknowledge.co.id will discuss it and of course other things that...
- Definition of Operating Systems and their Types (Full Discussion) Understanding Operating Systems and Types (Full Discussion) - On a computer we know the terms software and hardware. What we will discuss is the understanding of the operating system and its types which are…
- Integers are: Definition and Kinds Integers are: Understanding and Kinds - For most people mathematics is one subjects they don't like, because according to them mathematics makes them dizzy and difficult with formulas And…
- Absolute Value Equation: Explanation and Example Problems Absolute Value Equations: Explanation and Example Problems - What are the properties of absolute value equations?, On On this occasion, Seputarknowledge.co.id will discuss this and of course other things as well covered it. Let's see…
- Quadratic Equations: Definition, Types, Properties, Formulas and… Quadratic Equations: Definition, Types, Properties, Formulas and Example Problems - What are quadratic equations and formulas the root? On this occasion, Seputarknowledge.co.id will discuss what is a quadratic equation, the root formula And…
- Momentum and Impulse: Definition, Formulas, Collisions, Laws of… Momentum and Impulse: Definition, Formulas, Collisions, Law of Conservation of Momentum and Example Problems - What is Momentum and Impulse? On this occasion, Around the Knowledge.co.id will discuss what is Momentum and impulse as well as things matter…