Introduction to Rational numbers
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This is meant for age group 11 to 14 years. For Class VIII CBSE. Some viewers have requested me to send the file through mail. So I allowed everybody to download.My request is whenever you are using plz acknowledge me. Pratima Nayak ,Teacher,Kendriya Vidyalaya,Fort William,Kolkata pnpratima@gmail.com Based on Text book
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The document provides an overview of number systems throughout history. It discusses how ancient civilizations like the Egyptians and Babylonians experimented with different bases like base-12 and base-60 systems. It then covers the decimal system and describes number types like rational, irrational, integer, natural numbers and their properties. The document also discusses concepts like fractions in ancient Egypt, binary numbers and the expansion of numbers into terminating, non-terminating recurring and non-recurring decimals.
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i am as astudent making a ppt on hindi very important grammar for selfstudy i hope you will help of this ppt
Tanmay
This document defines and describes different types of numbers. It begins by defining a number as a mathematical object used to count, measure and label. It then discusses the historical development and extensions of the concept of number, including natural numbers, integers, rational numbers, real numbers, complex numbers and more abstract number systems. It provides examples and properties of each type of number and discusses their classification and relationships to one another.
number system
The document provides an overview of the history and types of number systems. It discusses how ancient civilizations like the Egyptians, Babylonians, and Mayans developed different base number systems based on counting fingers and toes. It then explains the modern decimal number system and provides examples of different types of numbers like rational, irrational, integer, natural numbers. The document also briefly touches on concepts like terminating and recurring decimals as well as scientists who contributed to the study of number systems.
Number Systems
The document discusses different numeration systems used in various cultures and time periods around the world. It begins by explaining that the appropriate numbering system depends on the application. It then provides details on tally systems, the Hindu-Arabic numeral system, and various place-value systems including binary, decimal, and other bases. It also discusses the evolution of the concept of real numbers to include integers, rational numbers, and irrational numbers.
number system school ppt ninth class
To download -https://clk.ink/MS2T
this will lead to a google drive link./
its a ppt based on the topic no. system.
it covers all the basics of ninth class cbse.
maths ppt rajni mam.ppt
Numbers were first used thousands of years ago for commerce using only whole numbers and rational numbers. Over time, the definition of numbers expanded to include zero, negatives, rationals, irrationals, and complexes. Early humans used tally sticks and body parts like fingers to count. Abacuses were also used as counting tools before modern numerals. Ancient Egyptians experimented with base-12 and base-10 systems, counting joints on fingers and using lines to represent numbers. Numeral systems like Hindu-Arabic decimal system facilitated development of science and commerce. Numbers can be terminating or recurring decimals, rational or irrational.
The concept of a number
The document discusses the concept of numbers. It states that a number is an abstract concept that is represented by numerals according to certain numeration systems, like the Hindu-Arabic system with numerals 0-9 or the Roman system with numerals like I, V, X. A number system consists of numbers and binary operations like addition and multiplication that yield a unique result. Numerals are symbols that represent numbers, while numbers are concepts.
Number system.pdf
A number system is a method for writing and representing numbers using digits or symbols in a consistent way. It allows unique representation of numbers and performing arithmetic operations. The main types of number systems are decimal, binary, octal, and hexadecimal, which use bases of 10, 2, 8, and 16 respectively. Number systems are used daily for tasks like making phone calls, budgeting, cooking, using elevators, shopping, and more. [/SUMMARY]
Math Project
The document discusses different types of real numbers. Natural numbers can be defined as either positive integers or non-negative integers. Whole numbers are used interchangeably to refer to non-negative integers, positive integers, or all integers. Rational numbers are numbers that can be expressed as fractions of integers, while irrational numbers like √2 or π have decimal expansions that continue forever without repeating. Almost all real numbers are irrational since the set of rational numbers is countable but the set of real numbers is uncountable.
Math Project
The document discusses different types of real numbers including natural numbers, whole numbers, integers, rational numbers, and irrational numbers. Natural numbers can be defined as positive integers or non-negative integers. Whole numbers are sometimes used to refer to non-negative integers, positive integers, or all integers. Rational numbers are numbers that can be expressed as fractions, while irrational numbers like √2 have decimal expansions that continue forever without repeating.
Lesson 4 square numbers
This document discusses square numbers. A square number is the result of multiplying a number by itself. The area of a square is equal to the side length squared. Properties of square numbers include: being even if the number of trailing zeros is even; squaring an even number yields an even number while squaring an odd number yields an odd number; and the unit digit of a number squared equals the unit digit of the digit at the ones place squared. The document provides examples of square numbers and lists 10 properties of square numbers. It concludes by asking students to enumerate the special square numbers between 0 and 900.
Numbers (1)
Numbers can be classified into different number systems based on their properties and uses. The main number systems are natural numbers, integers, rational numbers, real numbers, and complex numbers. Natural numbers are used for counting and include positive whole numbers starting from 1. Integers add negative whole numbers, rational numbers can be expressed as fractions, real numbers include rational and irrational numbers, and complex numbers extend the real numbers to include numbers with real and imaginary parts.
2.1 lbd numbers and their practical applications
The document discusses the history and development of numbers and numerical systems. It begins with early counting methods using tallies and evolved to include the Egyptian, Babylonian, Roman, and Hindu-Arabic systems. The modern number system is then built up from the natural numbers to integers to rational numbers to real numbers, which include irrational numbers. Imaginary and complex numbers were later introduced to solve problems involving square roots of negative numbers. Place value systems and the ability to represent zero were important developments.
CLASS IX MATHS
God gave us natural numbers, while other types of numbers were created by humans. The German mathematician Kronecker expressed that natural numbers play a significant role in human thought. The document then defines various types of numbers - natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. It provides properties and examples for each number type. Rational numbers can be expressed as terminating or repeating decimals, while irrational numbers cannot be expressed as fractions. Together, rational and irrational numbers form the set of real numbers.
Mathematics Real Numbers PPT.pptx
The group members are Aaryan Lal Das, Aryan Rai, Aakriti Lama, Pooja Gupta, Chaitanya Bajla, and Tanvi Chand. They created a mathematics project defining different types of numbers. Real numbers include rational and irrational numbers, and can be positive or negative. Rational numbers are numbers that can be expressed as a quotient of two integers. Integers are whole numbers that can be positive, negative or zero. Natural numbers are the positive integers from 1 to infinity. Whole numbers include natural numbers and zero. Irrational numbers cannot be expressed as a quotient of two integers. The addition rule is to keep the sign of the larger number when adding numbers with the same sign
Secondary Lecture
This document discusses different types of number systems, including natural numbers, integers, rational numbers, real numbers, and complex numbers. It provides details on key concepts for each system. Natural numbers are the counting numbers starting from 1. Integers add negative whole numbers. Rational numbers are fractions with integer numerators and denominators. Real numbers include rational and irrational numbers, which can be represented by decimals. Complex numbers consist of real numbers combined with imaginary numbers using the imaginary unit i, where i^2 = -1. Each number system forms a proper subset of the next largest system.
Cbse class-8th-rational numbers-amans-maths-blogs
We know that a number that can be written as \frac{p}{q}, where p and q are integers and q \neq 0, is known as RATIONAL NUMBERS. Thus, the set of the rational numbers contains all integers and fractions. The set of rational numbers is denoted by Q. Therefore, N \subseteq W \subseteq Z \subseteq Q.
Types of Numbers
Prompt, complete, accurate and self-explanatory visual presentation of the concepts of various types of numbers and number line. A brief description of numbers with diagrammatic representation so that students can understand. How these numbers can be represented on the number line.
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Introduction to Rational numbers
- 2. Mathematics is the ‘Queen of Science’ and Number theory is the ‘Queen of Mathematics’.
- 3. Introduction Number theory as a fundamental body of knowledge has played a pivotal role in the development of Mathematics. The Greek Mathematician Pythagoras and his disciples believed that “everything is number” .
- 4. History The system of writing numerals was developed some 10,000 years ago. India was the main centre for the development of the number system which we use today. It took about 5000 years for the complete development of the number system.
- 5. History The Whole numbers are fountain head of all Mathematics. The present system of writing numerals is known as Hindu-Arabic numeral system. In this system, we use the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. It is also called the decimal system with base 10. The word ‘decimal’ comes from Latin word ‘Decem’ which means ‘Ten’.
- 6. Number System Natural numbers N = {1, 2, 3, g}, Whole numbers W = {0, 1, 2, g}, Integers Z = {3, – 2, – 1, 0, 1, 2,3g} Rational numbers Q
- 8. The numbers of the form where p and q are integers and q ≠ 0 are known as rational numbers. The collection of numbers of the form , where q > 0 is denoted by Q. q p q p Rational numbers include natural numbers, whole numbers, integers and all negative and positive fractions. Rational numbers
- 10. Representation of Rational Numbers on the Number Line To express rational numbers appropriately on the number line, divide each unit length into as many number of equal parts as the denominator of the rational number and then mark the given number on the number line.
- 11. Representation of Rational Numbers on the Number Line Express on the number line. 7 4
- 12. Representation of Rational Numbers on the Number Line Express on the number line. 5 17
- 13. Representation of Rational Numbers on the Number Line Express on the number line. 3 2
- 14. To find rational numbers between two rational numbers
- 15. To find rational numbers between two rational numbers
- 16. To find rational numbers between two rational numbers
- 17. To find rational numbers between two rational numbers
- 18. To find rational numbers between two rational numbers
- 19. To find rational numbers between two rational numbers
- 20. So, unlike natural numbers and integers, there are countless rational numbers between any two given rational numbers.
- 21. Four Properties of Rational Numbers
- 22. Addition
- 23. Addition
- 24. Addition
- 25. Addition