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

Adding Fractions

A fraction like 1/2 says we have 1 out of the 2 parts the whole is divided into. The top number is called numerator The bottom number is called denominator How to Add Fractions To add fractions there are Three Simple Steps: Make sure the bottom numbers (the denominators) are the same Add the top

Expanded Notation

Definition Expanded Notation is about Writing a number to show the value of each digit. Expanded Notation is shown as a sum of each digit multiplied by its matching place value (ones, tens, hundreds, etc.) Examples 1,234 = 1 × 1,000 + 2 × 100 + 3 × 10 + 4 × 1 98,765 = 9 ×

Rational Function

Definition Rational Function is A function that is the ratio of 2 polynomials. It is Rational because one polynomial is divided by the other polynomial, like a ratio. (Note: the denominator cannot be zero.) Examples Learn More FOIL Method Counting Numbers Difference Multiplicative Inverse Definitions Index

Alternate Exterior Angles

Definition When 2 lines are crossed by another line (Transversal): Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal. How to remember the angle pairs are on Alternate sides of the Transversal, and they are on the Exterior of

Alternate Interior Angles

Definition When two lines are crossed by another line (Transversal): Alternate Interior Angles are a pair of angles on the inner side of each of those 2 lines but on opposite sides of the transversal. How To remember: The angle pairs are on Alternate sides of the Transversal, and they are on the Interior of

Composition of Functions

By combining these 2 function into 1 function, we have performed function composition, which is the focus of this section. Definition of Function Composition Function composition is a method to combine existing functions. Another method is to carry out the usual algebraic operations on functions, including addition, subtraction, multiplication, & division. We do this by

Sphere: Definition, Properties, Surface Area, Volume, Spheroid, and Hemisphere

Sphere is like circle in two-dimensional shape. But it is three-dimensional shape. Sphere things in daily life are like bubbles, marbles, balloons, balls, water drops, etc. Definition of Sphere Sphere is three-dimensional shape. It is a set of points that has same distance to the center. The distance is called radius (r). besides that, it

Quadrilateral: Definition, Properties, Family Tree, Formula, Examples

What Is Quadrilateral Quadrilateral is two-dimension shape that closed and has four sides. It come from latin words, “quadri” means four and “lateral” means sides. The internal angle is 360°. In real life, there are many things that has quadrilateral shape. For example: table top, book, picture, kite, envelope, etc. Quadrilateral Properties There are two