Nuf555555
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Natural numbers include all counting numbers from 1 to infinity. They are represented by the capital letter N. Integers include all natural numbers along with their negatives and zero, and are represented by Z. Fractions are numbers that are parts of a whole, with a numerator on top and denominator on bottom. Rational numbers are numbers that can be represented as a ratio of two integers, while irrational numbers cannot be represented as a ratio of two integers. Real numbers include all rational and irrational numbers.
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![A number which includes natural numbers
[1,2,3..],whole numbers[0,1,2,3,..],and
negative of counting numbers[,-3,-2,-
1,0,1,2..] are known as integers . they are
represented by z.
examples:-](https://image.slidesharecdn.com/nuf555555-130513102420-phpapp01/85/Nuf555555-5-320.jpg)
![Rational
number
Any number that can be made by
dividing one integer by another .i .e
.p/q where p and q are integers and q
is not equal to 0 are known as
rational numbers.the decimal
expansion of rational numbers is
terminating[ending]or repeating . it is
represented by q. Examples;-](https://image.slidesharecdn.com/nuf555555-130513102420-phpapp01/85/Nuf555555-8-320.jpg)
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"To preserve my brains I want food and this is now my first consideration. Any sympathetic letter from you will be helpful to me here to get a scholarship."
- Srinivasa Ramanujan (Indian Mathematician)
A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner. It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures. It also allows us to operate arithmetic operations like addition, subtraction and division.Tanmay
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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.RATIONAL NUMBERS CLASS8.pptx
RATIONAL NUMBERS CLASS8.pptxMadhusudan159
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This document defines different types of numbers and rational numbers. It explains that rational numbers can be expressed as a ratio of two integers in the form p/q, where p and q are integers and q is not zero. Examples of rational numbers include 1/2, 4/3, and 5/7. The document also discusses how rational numbers can be represented on a number line, with rational numbers existing between every two integers. Properties of rational numbers are listed, including closure, commutativity, associativity, additive identity, and additive inverse.RATIONAL NUMBERS CLASS8.pptx
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This document defines different types of numbers and rational numbers. It explains that rational numbers can be expressed as a ratio of two integers in the form p/q, where p and q are integers and q is not zero. Examples of rational numbers include 1/2, 4/3, and 5/7. The document also discusses how rational numbers can be represented on a number line between integers, with an example given between 0 and 1. Properties of rational numbers are listed, including closure, commutative, and associative properties as well as additive identity and inverse.Types of numbers
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The document defines and provides examples of different types of numbers:
Natural numbers start at 1 and do not include 0. Whole numbers include all natural numbers and 0. Even numbers are divisible by 2, while odd numbers are not. Prime numbers are only divisible by 1 and themselves, while composite numbers can be divided by other numbers.Year 10 Mathematics British outline.pptx
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A brief overview of required topics for year 10 Maths 
Real numbers system
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Real numbers include decimals, fractions, integers, rational numbers like fractions and repeating decimals, and irrational numbers like pi. They can be positive or negative, and are organized on a number line that extends infinitely in both directions. Real numbers are grouped into categories including counting numbers, whole numbers, integers, rational numbers, and irrational numbers.1Types Of Numbers- Lecture Note of Mathematics Conversion Program.pdf
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Mathematics 際際滷sNumber systems
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This document contains information about different types of numbers including rational numbers, irrational numbers, integers, natural numbers, and real numbers. It discusses how rational numbers can be expressed as fractions with integer numerators and non-zero denominators, and how irrational numbers cannot be expressed as fractions. It also contains examples of terminating and non-terminating decimals. Additionally, it discusses number lines and includes an example of marking distances on a number line.Power point number
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Numbers are mathematical objects used to count, measure, and label. They include natural numbers like 1, 2, 3, whole numbers which are simply the counting numbers, integers which include positive and negative whole numbers, and rational numbers which can be expressed as fractions. Numbers are commonly represented by numerals and are used for more than just counting, such as with telephone numbers, serial numbers, and codes.FS English Level 2 March 02, 2023 (Spelling, Punctuation and Grammar : Usin...
FS English Level 2 March 02, 2023 (Spelling, Punctuation and Grammar : Usin...MdImran691
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The document provides information about different types of numbers:
- Integers are whole numbers that can be positive, negative, or zero. Prime numbers only divide by 1 and themselves.
- Rational numbers can be written as fractions or recurring decimals. Irrational numbers are never-ending, non-repeating decimals like .
- Positive numbers are greater than 0, negative numbers are less than 0. A number line can help visualize positive and negative numbers and find differences between them.
- Place value refers to the value of each digit in a number depending on its position - the further left, the greater the value. Large numbers can be written with commas separating groups of three digits.FS Maths Level 2 - February 28, 2023 (All about numbers)
FS Maths Level 2 - February 28, 2023 (All about numbers)LeadAcademy3
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The document provides information about different types of numbers:
- Integers are whole numbers that can be positive, negative, or zero. Prime numbers only divide by 1 and themselves.
- Rational numbers can be written as fractions or recurring decimals. Irrational numbers are never-ending, non-repeating decimals like .
- Positive numbers are greater than 0, negative numbers are less than 0. A number line can help visualize positive and negative numbers and find differences between them.
- Place value refers to the value of each digit in a number depending on its position - the further left, the greater the value. Large numbers can be written with commas separating groups of three digits.FS Maths Level 2 February 28, 2023 (All about numbers).
FS Maths Level 2 February 28, 2023 (All about numbers).LeadAcademy3
油
The document provides information about different types of numbers:
- Integers are whole numbers that can be positive, negative, or zero. Prime numbers only divide by 1 and themselves.
- Rational numbers can be written as fractions or recurring decimals. Irrational numbers are never-ending, non-repeating decimals like .
- Positive numbers are greater than 0, negative numbers are less than 0. A number line can help visualize differences between positive and negative numbers.
- Place value refers to the value of each digit in a number depending on its position - the further left, the greater the value. Large numbers can be written with commas separating groups of three digits.Maths number system
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The document discusses different number systems used in mathematics. It begins by explaining that a number system is defined by its base, or the number of unique symbols used to represent numbers. The most common system is decimal, which uses base-10. Other discussed systems include binary, octal, hexadecimal, and those used historically by cultures like the Babylonians. Rational and irrational numbers are also defined. Rational numbers can be written as fractions of integers, while irrational numbers cannot.Nuf555555
- 3. the number 1 and any other number obtained by adding 1 is known as natural numbers . They include 1,2,3,4.. Etc. hence they are also known as counting numbers. The smallest natural number is 1 but the greatest natural number is not defined. A set of natural numbers are denoted by capital letter N. Example-
- 4. No. of balloons left=0
- 5. A number which includes natural numbers [1,2,3..],whole numbers[0,1,2,3,..],and negative of counting numbers[,-3,-2,- 1,0,1,2..] are known as integers . they are represented by z. examples:-
- 6. Fraction is a numeric quantity which is not a whole number but a part of whole number. 揃 the bottom number (the denominator) says how many parts the whole is divided into 揃 the top number (the numerator) says how many you have. Fractions Examples:-
- 7. When we divide any two numbers and if they are not divisible we put a point or dot to separate the whole number part from the fractional part of a number. Example:-
- 8. Rational number Any number that can be made by dividing one integer by another .i .e .p/q where p and q are integers and q is not equal to 0 are known as rational numbers.the decimal expansion of rational numbers is terminating[ending]or repeating . it is represented by q. Examples;-
- 9. Irrational numbers A number which can not be written as simple fractions . i .e p/q where p and q are integers and q is not equal to 0 are known as irrational numbers. The decimal expansion of irrational no. is not terminating and non repeating . Examples:-
- 10. Real numbers The collection of rational numbers and irrational numbers together is known as real numbers . Real numbers are represented by R.
- 11. Made by Group 6