Rational Numbers: Definition & Examples

What are rational numbers Numbers are core of mathematics. Almost all of mathematics parts consist of numbers. There are some types of numbers. One of them is rational numbers. Rational numbers were invented by Greek mathematician, Phytagoras. Rational numbers consist of natural numbers and integers. Rational numbers symbolized as boldface Q (Q). It is type

Implicit Differentiation

Some equations in x and y in mathematics do not explicitly define y as a function x and cannot be easily manipulated to solve for y in terms of x, even though such a function may exist. If it happen, it is implied that there exists a function y = f( x) such that the given

Volume and Area of a Sphere

Definition A sphere is a perfectly round geometrical object in 3D space that is the surface of a completely round ball. Sphere Facts Here are some interesting facts about sphere: It is perfectly symmetrical All points on the surface are the same distance “r” from the center It has no edges or vertices (corners) It

Standard Form

Definition What is “Standard Form”? It depends on what you are dealing with! Standard Form of a Decimal Number In Britain, this is another name for Scientific Notation, where you write down a number this way: 4321 = 4.321 × 103 In this example, 4321 is written as 4.321 × 103, because 4321 = 4.321 ×


A Kite is a flat shape with straight sides. It has 2 pairs of equal-length adjacent sides. Characteristics of Kite Two pairs of sides Each pair is 2 equal-length sides that are adjacent The angles are equal where the 2 pairs meet Diagonals (dashed lines) cross at right angles, and one of the diagonals bisects

Cylinder: Definition, Properties, Types, Surface Area, Volume

“cylinder” was named base on Latin (Cylindrus) and Greek (Kylindros). It means “roll”, “roller”, and “tumblr”. Cylinder is a shape that is common in daily life such as can, money box, toilet tissue roll, tumbler, etc. Definition of Cylinder Cylinder is three-dimensional shape with two congruent parallel circular shape (circles or ellipse). There is also

Linear Equations

A linear equation is an equation for a straight line. Equation of a line is one of algebra concept. It is basic concept of others. They are like in mathematics and physics. In real life, it is applied in speed calculation, cost of rental car / taxi, etc. General Form  Equation of a line has

Adjacent Angles

In the lesson below, you will learn about how to identify whether angles are adjacent. Definition Adjacent angles are 2 angles that have a common vertex & a common side. The vertex of an angle is the endpoint of the rays that form the sides of the angle. The common vertex and common side we mean here are

Order of Operations (PEMDAS): Definition & Examples

Order of operation is a basic concept in mathematics, especially in algebra. It has been studied in elementary school and continued in next level of education. It uses to solve multiple operation in mathematics. Definition of Operation Operation means doing something to solve mathematics’ problem. It contains addition, subtraction, division, multiplication, etc. There are simple

Integration by Parts: Formula & Examples

Integration by Parts Formula Integration is one of calculus part. Integration is not only consisting of general formula, but also integration by substitution and integration by parts. Different problem needs different way to solve it. Integration by parts was discovered by mathematicians, Brook Taylor, in 1715. Integration by parts is used to solve integration problems