UrbanPro
true

Take Class 10 Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Number System

Suvam Banerjee
06/03/2021 0 0

Natural Numbers: The set of counting numbers is called natural numbers. It is denoted by N, where N = {1,2,3, …..}

Whole Numbers: when zero is included in the set of natural numbers, then it is a set of whole numbers. It is denoted by W, where W = {0,1,2, …..}

Integers: When in the set of whole numbers, natural numbers with the negative sign are included, then it becomes a set of integers. It is denoted by Z, where Z = {-…. , -2, -1, 0, 1, 2, …..}

Integers can be divided into negative and positive integers.

Prime Numbers: The natural numbers which have no factors other than 1 and itself are called prime numbers.

Co-prime Numbers: Two numbers that have no common factor except one are called co-prime numbers. Example: 11 and 18 etc.

Rational Numbers: The numbers that can be expressed in the form of p/q where p and q are integers and co-prime are called rational numbers. It is denoted by Q. Rationalnumbers can be positive or negative.

Irrational Numbers : The numbers which are not rational numbers, are called irrational numbers. or π = 3.141592 is an irrational number.

Real Numbers : Set of all rational numbers as well as irrational numbers are called real numbers. The square of all real numbers is positive.

Some important points on numbers :

  • 2 is the only even prime number.
  • Number 1 is neither divisible nor prime.
  • Two consecutive odd prime numbers are called prime pair.
  • All natural numbers are whole, rational, integer and real.
  • Fractions are rational.
  • 0 is neither negative(-) nor positive(+) number.
  • Dividing any number by 0 gives infinity () whereas dividing 0 by any number gives 0.
  • The sum and product of two rational numbers is always a rational number.
  • The product and sum of a rational number and irrational number is always an irrational number.
  • There can be infinite numer of rational and irrational numbers between two rational numbers and two irrational numbers.

 

0 Dislike
Follow 1

Please Enter a comment

Submit

Other Lessons for You

BODMAS Rule
BODMAS stands for Bracket, Of, Division, Multiplication, Addition and Subtraction. In specific regions, PEDMAS (Parentheses, Exponents, Division, Multiplication, Addition and Subtraction) is the synonym...
A

Ashesh Kant Pandey

0 0
0

The Completing the Square Method
In this video, we'll study "The Completing the Square Method"

Understanding the Number System
The number system is a foundational concept in mathematics and plays a vital role in various aspects of our daily lives. Whether you're counting, measuring, or performing complex mathematical operations,...

Thale's Theorem And Its Converse.
In a triangle if a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points then it divides the two sides in the same ratio. This theorem is popularly known...

Tips To Score Excellent Marks In Maths
Hello students. Some tips for you all to score excellent marks in Maths: (1) Do not mug up sums and Theorems. Try to understand the concept. (2) Memorise all formulas and identities well. (3) Understand...
X

Looking for Class 10 Tuition Classes?

The best tutors for Class 10 Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class 10 Tuition with the Best Tutors

The best Tutors for Class 10 Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more