Cross Multiply

To cross multiply is to go from this: To a × d = b × c How Does it Work? Multiplying the top (numerator) and bottom (denominator) of a fraction by the same amount doesn’t change its value. So, To cross multiply: Multiply the top and bottom of the left side fraction by the bottom

Continuous Function: Definition & Examples

Definition of Continuous Function  Function describe as a relation of each value from the first set that is associated exactly one value from another set. Function has many types in mathematics. One of them is continuous function. Continuous function is one of topics in calculus. Continue means unbroken. Continuous function is a function that has

Multiplying Fractions

Multiply the tops, then multiply the bottoms. How to multiply fractions There are 3 simple steps to multiply fractions Multiply the the numerators (top numbers). Multiply the denominators (bottom numbers). Simplify the fraction if needed. Example Step 1 Multiply the the numerators Step 2 Multiply the denominators Step 3 Simplify the fraction Mulltiplying Fractions and Whole Numbers

FOIL Method

FOIL Method is a handy way to remember how to multiply 2 binomials. Definition FOIL stands for “First, Outer, Inner, Last“ F O I L First Outer Inner Last It is the sum of: multiplying the First terms, multiplying the Outer terms, multiplying the Inner terms, and multiplying the Last terms. Examples (a+b)(c+d) = ac + ad +


There are twelve months in a year: Months in Detail Here are the twelve months in detail: Month Order Month Name 3 Letters Format Days in Month 1 January Jan 31 2 February Feb 28 (29 in leap years) 3 March Mar 31 4 April Apr 30 5 May May 31 6 June Jun 30

Permutations and Combinations: Definition, Notation, Examples

Definitions a Combination is when the order doesn’t matter. a Permutation is When the order does matter. In other words: A Permutation is an ordered Combination. Permutations There are 2 types of permutation: Permutation with Repetition: such as the lock. It could be “444”. Permutation without Repetition: for example the first three people in a

Taylor Series: Common & Expansion Formula, and Examples

Taylor series is one of topic in numerical method. It describes the sum of infinite terms of any functions. If there are more and more terms, it will give the high accuracy. It was introduced by English mathematicians, Brook Taylor. One of Taylor series application is scientific calculator operation. Sometimes when we need to determine

Solving Systems of Linear Equations Using Matrices

Example Solve x + y + z = 6 2y + 5z = −4 2x + 5y − z = 27 Change into matrix form AX = B where A is the 3×3 matrix of x, y, z coefficients X is x, y, z B is 27, 6, −4 Then find the value of x, y, z X =

Solving SAS Triangles

SAS (Side, Angle, Side) is when we know 2 sides and the angle between them. How to solve an SAS triangle ? use the Law of Cosines to calculate the unknown side, use the Law of Sines to find the smaller of the other two angles, use the three angles add to 180° to find

Piecewise Functions: Definition, How to Solve, Examples

Piecewise Functions Definition A function can be expressed as a graph. But, not all of function has a whole graph. Some function has some pieces of the graph. It is called as piecewise function. The pieces of a function depend on x value that input into the formula/function. In another words, it is possible that