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CBSE Class 9 Maths Number Systems Formulas

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Last updated date: 28th Apr 2024
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Class 9 Maths Number System Formulas

Do you find it difficult to cope up with the Math formulas and equations? Do math formulas seem to be complicated to remember? Not a matter to distress over. What if we tell you that you no longer require struggling to mug up all Math formulas of Class 9? Yes! You will get formulas of the number system in the Class 9 Maths Formula Sheets designed by subject matter experts at Vedantu. This sheet is inclusive of all formulas of number system class 9 chapters wise.


Where can I find Formulas of Maths of Class 9?

CBSE Class 9 Maths Formulas all chapters are available for free access and revision on Vedantu.com. You can simply download the important Maths Formulas and equations PDF 9th class to solve the problems easily, quickly and score higher grades in your Class 9 CBSE Board Exams at Vedantu.


Number System Class 9

Natural Numbers: These are in numerical form of -1, 2, 3, 4, 5, 6, 7, 8, 9, 10..........denoted by N.

Whole Numbers: These are in numerical form of – 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10..........denoted by W.

Integers: -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 denoted by Z.

Rational Numbers: All the numbers that can be mathematically written in the form p/q, q ≠0 are known as rational numbers where p and q refers to the integers.

Irrational Numbers: A number‘s’ is known as irrational, if it cannot be mathematically written in the form p/q where p and q are integers and q ≠ 0.

Decimal Expansion: Such an algebraic expansion in the decimal form of a rational number is either terminating or non terminating recurring. Therefore, we can say that a number whose decimal expansion is either terminating or non terminating/ recurring is what we call a rational number. There are following properties of a decimal expansion which are as below:

  • For an irrational number, the decimal expansion is non terminating and non recurring.

  • All the rational numbers and irrational numbers can be taken together.

  • We can make a collection of real numbers.

  • A real number may be either rational or irrational.

  • If ‘r’ is rational and ‘s’ is irrational then r + s, r - s, r . s will invariably be the irrational numbers, however r/s may either be rational or irrational

  • We can represent every irrational number on a number line using Pythagoras theorem.

  • Rationalization is the method of taking out square roots from the denominator. For example, for a mathematical expression 2 + √6/√4, to remove we will multiply both numerator as well as denominator by √4.


Important Number System Formula Class 9

1. Polynomial Expressions Formulas


Binomial

(2x + 3y),(3x − 2y)etc

Monomial

3, 2x, 23y etc.

Trinomial

x2 + 4x + 5 etc.

Linear polynomial

x+2, 3x + 5 etc

Quadratic polynomial

ax2 + bx + c etc

Biquadratic polynomial

x4 + 5x3 + 2x2 + 3

Cubic polynomial

x3 + 4x2 + 5 etc


2. Coordinate Geometry Formulas


Equation of a line

ax + by + c = 0

Equation of a circle

x² +y² =r²

Here ‘r’ refers to the radius of the circle

Equation of an ellipse

x²/a²+y²/b²=1

Equation of a parabola

y² = 4ax

Equation of a hyperbola

x²/a² - y²/b²=1

Angle between two lines

θ = tan²−1(m/1+m1m2)

Distance formula

√(x2−x1)²+(y2−y1)²


3. Circles Formulas


Area of circle 

πr²

Diameter of circle 

2r

Circumference of circle

2πr

Sector angle of circle

θ = (360/(πr)

Area of the sector

(θ/2)×r²

Area of the circular ring

π × (R²−r²)

r = Radius of inner circle.

R = Radius of outer circle.

θ = Angle between two radii.


How to Learn all the Formulas of CBSE Class 9 Maths Number Systems?

Number systems comprise a variety of formulas such as the circumference of a circle, polynomial expressions, distance formula, etc. If you do not learn all the formulas properly, you can get confused and will not be able to solve the question. Here are some tips on how to learn all the formulas of CBSE Class 9 Maths Number Systems:

  • When you are learning any formula of CBSE Class 9 Maths Number Systems, you should go through its definitions and explanations given in the textbook to understand what the formula is about. 

  • After learning a formula, you should use the solved examples in textbooks and reference books to understand how to apply it and solve a question correctly. 

  • CBSE Class 9 Maths Number Systems Formulas - Number System, Important Number System Formula, and FAQs available on Vedantu provide you with explanations in simple language. You can use our platform to revise these formulas and improve your understanding of Number Systems. 

  • Once you have learned all the formulas, try solving questions based on CBSE Class 9 Maths Number Systems. By practising these questions, you can learn how to use a formula in a question and improve your mathematical skills. 

  • While learning the formulas of CBSE Class 9 Maths Number Systems Formulas, you should also learn how they were derived. By learning the derivation of a formula, you can understand the concept more clearly.


Why is Number Systems Important for CBSE Class 9 Maths Students?

Maths is an important subject for CBSE Class 9 students. The CBSE Class 9 Maths syllabus comprises a lot of important concepts that are necessary to learn. Number systems are one of these concepts. Learning the number systems is really helpful as it makes other concepts of Class 9 Maths easier to understand. 

Below are some other reasons why you should learn number systems: 

  • The CBSE Class 9 Maths Number Systems Formulas - Number System, Important Number System Formula, and FAQs give you a better understanding of real numbers, integers, natural numbers, and whole numbers

  • Learning about CBSE Class 9 Maths Number Systems will help you learn other concepts in your maths syllabus with ease. 

  • Number systems contain many formulas, including polynomial functions, circles, and geometry. So, learning the CBSE Class 9 Maths Number Systems will assist you in solving questions based on these topics too. 

  • The CBSE Class 9 Maths Number Systems carry a significant amount of weightage in the Class 9 Maths exam. If you go through this concept thoroughly, you will be able to score well in the exam.

Competitive Exams after 12th Science

FAQs on CBSE Class 9 Maths Number Systems Formulas

1. How can I Learn all Formulas of Number System Class 9?

The best way to learn all number system class 9 formulas is to have them handy. You should have access to categorical formula sheets whenever, wherever so that you are able to keep practicing them and quickly correct or retain them if not able to remember. It gets difficult to learn formulas when you try to grasp them from scattered chapters and equations. The key is to have them in place in an ordered manner like one above.

2. How can I Find all Formulas of Number System Class 9?

The team of Math experts at Vedantu has created a list of number system formulas class 9 Mathematics formulas with logical explanations. In addition to formulas and equations, you will also find methods of solving as well as how and where to use them. The comprehensive formula sheet is available at Vedantu for free PDF download and you can have access to it anytime.

3. What is the Benefit of Formula Sheet of Number System Class 9?

Success is said to be the sum of little attempts that are repeated daily and frequently. Using this sheet of important formulas as a curriculum of your exam preparations, you will be able to understand the logic, appropriate method of solving complex numerical problems faster, score higher marks in school exams and crack several competitive exams!