Maths

Properties of Multiplication of Integers

The multiplication of integers refers to the product of two or more integers. To recall, the set of numbers ...

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Business Mathematics

Business Mathematics consists of Mathematical concepts related to business. It comprises mainly profit, ...

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Set Theory

Set Theory is a branch of mathematics in which we study about sets and their properties. Georg Cantor ...

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Principle of Mathematical Induction

Mathematical Induction is a technique of proving a statement, theorem or formula which is thought to ...

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Profit and Loss as Percentage

Profit and loss percentage are used to refer to the amount of profit or loss that has been incurred in ...

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Box Plot

When we display the data distribution in a standardized way using 5 summary – minimum, Q1 (First Quartile), ...

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Bernoulli Trials and Binomial Distribution

Bernoulli Trials and Binomial Distribution are explained here in a brief manner.  Bernoulli trial is ...

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Probability

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random ...

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Profit

Profit in Maths is considered as the gain amount from any business activity. Whenever a shopkeeper sells ...

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Bivariate Analysis

Bivariate analysis is one of the statistical analysis where two variables are observed. One variable ...

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Statistical Term - Bias

Bias is a statistical term which means a systematic deviation from the true value. It is a sampling procedure ...

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Probability and Statistics Symbols

Probability is the chance that something will happen – how likely it is that some event will happen. ...

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Probability Distribution

The probability distribution gives the possibility of each outcome of a random experiment or events. ...

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Binary to Octal Conversion

In binary to octal conversion, we learn to convert base 2 number system into base 8 number system. We ...

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Binary Division

What is Binary Division? Division is probably one of the most difficult operations of the basic arithmetic ...

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Probability Distribution of Random Variable

The probability distribution gives the possibility of each outcome of a random experiment or events. ...

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Probability Density Function

Probability Density Function (PDF) is used to define the probability of the random variable coming within ...

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Binary Operation

The basic operations of mathematics- addition, subtraction, division and multiplication are performed ...

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Binary Number System

Binary Number System: According to digital electronics and mathematics, a binary number is defined as ...

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Probability Mass Function

The Probability Mass Function (PMF) also called as probability function or frequency function which characterizes ...

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Prism

Prism is a three-dimensional solid object in which the two ends are exactly of the same shape. It is ...

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Binary Multiplication

What is Binary Multiplication? The binary multiplication operation is actually a process of addition ...

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Binary Subtraction

Binary subtraction is another basic binary operation. The basic operations in mathematics are addition, ...

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Profit and Loss

Profit and Loss formula is used in mathematics to determine the price of a commodity in the market and ...

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Prime Numbers

Prime numbers are the numbers with two factors, 1 and the number itself. It can be divided evenly by ...

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Binary Addition

Binary addition is on of the operations of binary operations concept. To recall, the term “Binary Operation” ...

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Binomial Theorem

Binomial Theorem – As the power increases the expansion becomes lengthy and tedious to calculate. A ...

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Proper Fractions

Definition of Proper Fractions: When the numerator is less than the denominator, it is called a Proper ...

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Prime Factorization and Division Method for HCF

Prime factorisation method and division method are explained in Maths to determine the HCF(Highest Common ...

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Binomial Theorem for Positive Integral Indices

Binomial Theorem We all know the expansion of \( (a+b)^2, (a+b)^3, (a-b)^2, (a-b)^3\) \((a+b)^2\)=\(a^2+2ab+b^2\) \((a+b)^3\)=\(a^3+3a^2 ...

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Properties of Addition

Properties of addition are defined for the various conditions and rules of addition. These properties ...

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Prime and Composite Numbers

Prime and composite numbersare two of the types of number based on the number of factors they have. What ...

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Conditional Probability: Bayes' Theorem

Bayes’ theorem describes the probability of occurrence of an event related to any condition. For example: ...

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BODMAS and Simplification of Brackets

An arithmetic expression involving multiple operations is not as simple as operations involving two numbers. ...

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De Morgan's Law and Properties of Complement of a Set

De Morgan’s law states that ‘The complement of union of two sets A and B is equal to the intersection ...

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Precision

What is Precision? Precision refers to the amount of information that is conveyed by a number in terms ...

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Basic of Algebra

Basics of Algebra cover the simple operation of mathematics like addition, subtraction, multiplication, ...

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Boolean Algebra

What is Boolean algebra? Boolean algebra is one topic where most students get confused. But it is pretty ...

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Properties of Definite Integrals

Integration is the estimation of an integral. It is just opposite process of differentiation. Integrals ...

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Population and Sample

In statistics as well as in quantitative methodology, the set of data are collected and selected from ...

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Bar Graph - Data Collection Method

Definition The pictorial representation of data (generally grouped), in the form of vertical or horizontal ...

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Vector Product

Vector product- Cross Product of Two Vectors We know that there are two ways of multiplying vectors. (i) ...

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Properties of Hexagon

What is Hexagon? A closed figure which is two-dimensional and is made up of straight lines is called ...

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Polynomial Division & Long Division Algorithm

The polynomial division which involves the division of any two polynomials. The division of polynomials ...

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Average Value & Calculation

What is Average? The average is the middle value calculated by adding up all the numbers and then dividing ...

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Categorical Data

In statistics, it is important to recognise the different types of data. It is because statistical methods ...

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Properties of Isosceles Triangle

An isosceles triangle definition states it as a polygon that consists of two equal sides, two equal angles, ...

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Polygon, Curve and Angle

Geometry is the most practical branch of Mathematics that deals with shapes and sizes of figures and ...

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Asymptotes

An asymptote is a straight line that constantly approaches a given curve but does not meet at any infinite ...

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Central Tendency

In statistics, the central tendency is the descriptive summary of a data set. Through the single value ...

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Properties of Matrices Transpose

Matrix Transpose A collection of numbers arranged in the fixed number of rows and columns is called ...

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Pie Chart

The “pie chart” also is known as “circle chart” divides the circular statistical graphic into ...

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Ascending Order

Ascending order is a sorting method in which the sort starts from the lowest to the highest or the smallest ...

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Chain Rule and Composite Functions

Derivative of Composite Function with the help of chain rule: When two functions are combined in such ...

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Properties of Rational Numbers

To know the properties of rational numbers, we will consider here the general properties of integers ...

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Construction of Perpendicular Line Through a Point

Perpendicular Line Through a given Point: Lines which intersect each other at right angles are perpendicular ...

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Significant Figures: Rules For Arithmetic Operations

Arithmetic Math Arithmetic is a branch of mathematics, that involves the study of numbers, operation ...

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Chord of a Circle and its Theorem

Chord of a circle: The line segment joining any two points on the circumference of the circle is known ...

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Properties of Triangle

We will discuss the properties of triangle here along with its definitions, types and its significance ...

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Perpendicular Distance of a Point from a Plane

The shortest distance of a point from a plane is said to be along the line perpendicular to the plane ...

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Data Handling - Arithmetic Mean and Range

There is an immense amount of data in this world. The internet age has only compounded this problem. ...

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Circles

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. ...

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P-value

In Statistics, the researcher checks the significance of the observed result, which is known as test ...

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Permutation and Combination

Permutation and combination are all about counting and arrangements made from a certain group of data. ...

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Basics of Mathematics: Arithmetic, Geometry, Algebra & Words

The first thing that you should know about Mathematics is that it is not a subject, it is a language. ...

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Circumference of a Circle

Circumference of the circle or perimeter of the circle is the measurement of the boundary across any ...

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Pythagoras Theorem

Pythagoras Theorem is an important topic in Maths, which explains the relation between the sides of a ...

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Triangle Construction: Given its Perimeter and Two Angles

Given: The Perimeter of the triangle and two angles are known to us. Requirements: A ruler, a protractor ...

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Arithmetic

Arithmetic is among the oldest and elementary branches of mathematics, originating from the Greek word ...

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Cluster Analysis

What is Cluster? When we try to group a set of objects that have similar kind of characteristics, attributes ...

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Quadrant

The axes of a two-dimensional Cartesian plane system divides the plane into four infinite regions is ...

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Perimeter of Square

The perimeter of a square is the length that its boundary covers. The perimeter of a square is obtained ...

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Area Under the Curve - Calculus

Area under the Curve Until now, we have seen definite integral as a limit of a sum and we know how to ...

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Cofactor

What is a Cofactor? A cofactor is a number that is obtained by eliminating the row and column of a particular ...

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Quadratics

A quadratic equation can be defined as a equation of a second degree, which implies that it comprises ...

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Perimeter of Rectangle

Perimeter of Rectangle could be considered as one of the characteristics or properties of the rectangle. ...

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Combinatorics

Combinatorics is a stream of mathematics that concerns the study of finite discrete structures. Features ...

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Quadrilateral: Angle Sum Property

The angle is formed when two line segment joins at a single point. An angle is measured in degrees (°). ...

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Perimeter of a Parallelogram

Geometry is a branch of Mathematics that deals with the study of different geometrical shapes. It is ...

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Decimal Number Comparison - Through Graphical And Analytical Method

The concept of decimal is used in each and every field of mathematics. For example: measurement of weight, ...

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Quotient

In Maths, the quotient is the number which is generated when we perform division operation on two numbers. ...

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Finding the Perfect Cube of Numbers

A cube is a three dimensional figure which has all the edges of equal length. The volume of a cube is ...

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Area of a Square - Introduction to Area

Area of a square is defined as the number of square units needed to completely fill a square. In general, ...

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Comparison of Ratios

Ratio A ratio is a quantitative relation of two amounts or numbers that can be expressed in the following ...

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Radical

A Radical is an expression that involves a root, usually a square root or cube root. There are three ...

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Percentage Increase or Decrease

Percentage literally means ‘per 100’, which is a number expressed as a fraction of 100. So when you ...

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What Do You Mean By the Complement of a Set?

Complement of a set Before studying about the Complement of s set, let us understand what sets are? A ...

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Random Sampling

Random sampling is a method of choosing a sample of observations from a population to make assumptions ...

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Percentage

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100, which means, ...

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Area of Sector of a Circle

Definition 1: A circle is the collection of all the points in a plane which are at a fixed distance from ...

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Complex Numbers

Complex numbers are the numbers which are expressed in the form of a+ib where i is an imaginary number ...

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Rational Expressions

Rational expressions show the ratio of two polynomials. It means both the numerator and denominator are ...

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Pentagon

In Geometry, we study about different types of shapes. The two-dimensional shape that is composed of ...

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Compound Interest

What is Compound Interest? When we observe our bank statements, we generally notice that some interest ...

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Rational Numbers

Rational numbers are represented in p/q form where q is not equal to zero. It is one of the most important ...

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Patterns

Mathematics is all about numbers. It involves the study of different patterns. There are different types ...

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Area of Quadrilateral

You are already acquainted with the term area. It is defined as the region occupied inside the boundary ...

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Concept of Ratio

A ratio is a mathematical expression of comparing two similar or different quantities by division. It ...

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Rational Numbers To Standard Form

Standard form of Rational numbers Numbers which can be expressed in the form of p/q, where p and q are ...

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Parts of a Circle

Circumference of Circle Many objects that we come across in our daily life are ‘round’ in shape. ...

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