## Least Common Multiple

Common Multiple A common Multiple number is a multiple of two or more numbers. Example Multiple of 3 and 4: Number Multiples 3 3, 6, 9, 12, 15, 18, 21, 24, … 4 4, 8, 12, 16, 20, 24, … So, the common multiples of 3 and 4 are: 12, 24, … Least Common Multiple … Continue reading "Least Common Multiple"

## Pythagoras Theorem

When a triangle has a right angle (90°) and squares are made on each of the 3 sides, then the biggest square has the exact same area as the other 2 squares put together! Pythagoras Theorem can be written in one short equation: a2 + b2 = c2 Where: c is the longest side of the triangle … Continue reading "Pythagoras Theorem"

## How to Find Intercepts From an Equation

x Intercept is where the graph of an equation crosses the x-axis y Intercept is where the graph of an equation crosses the y-axis How To find the intercepts What Intercept Steps x intercepts (x, 0) 1. Set y=02. Solve for x y intercepts (0, y) 1. Set x=02. Solve for y Learn More General … Continue reading "How to Find Intercepts From an Equation"

## Greatest Common Factor

Greatest Common Factor (GCF) or Highest Common Factor (HCF) is the largest of the common factors. Greatest Common Factor is useful to simplify a fraction, because it is the largest number we can divide both numerator and denominator of a fraction. How to Find the Greatest Common Factor Method 1 find all factors of both … Continue reading "Greatest Common Factor"

## Simplifying Square Roots

To simplify a square root, make the number inside the square root as small as possible. How to Simplifying Square Roots Rule   where a, b > 0 Simplifying Square Roots for Fractions Rule Surds Surd is a root we can’t simplify further. So √5 is a surd. But √9 = 3 is not a surd. Learn … Continue reading "Simplifying Square Roots"

## Inverse Operation

Inverse Operation is an operation that reverses or undo the effect of another operation. Definition of Inverse Operation What are Inverse Operations? Inverse means reverse in position / direction. The word “inverse” comes from the Latin word “inversus” which means to turn inside out or upside down. Inverse operation in mathematics is an operation that undoes what was done by the previous operation. Most … Continue reading "Inverse Operation"

## Exterior Angle Theorem

Exterior Angle Theorem For a triangle The exterior angle d equals the angles b plus c. (d = b + c) The exterior angle d is greater than angle b and angle c. (do > bo, do > co) Proof d = b + c : a + b + c = 180° (Because the interior angles of … Continue reading "Exterior Angle Theorem"

## Commutative, Associative, and Distributive Laws

Commutative Laws Commutative Laws say we can swap numbers over and still get the same answer. Commutative Laws for Addition a + b = b + a Commutative Laws for Multiplication a × b  =  b × a From these laws it follows that any finite sum or product is unaltered by reordering its terms … Continue reading "Commutative, Associative, and Distributive Laws"