## Mixed Fractions

Mixed Fraction is also known as Mixed Number A Mixed Fraction is a whole number and a proper fraction combined. Each example is made up of a whole number and a proper fraction together. That is why it is called a mixed fraction or mixed number. 3 Types of Fractions There are 3 types of

## How To Find if Triangles are Congruent

Triangles are congruent when all corresponding sides & interior angles are congruent. The triangles will have the same size & shape, but 1 may be a mirror image of the other. 2 triangles are congruent if they have: exactly the same three sides and exactly the same three angles. We don’t have to know all 3

## Dividing Fractions By Whole Numbers

How to Divide a Fraction by a Whole Number? To Divide a Fraction by a Whole Number: Multiply the bottom number of the fraction by the whole number Simplify the fraction (if needed) Example   Step 1 Step 2 Can’t be simplified more Learn More Fractions Improper Fractions Adding Fractions Simplest Form of Fractions Algebra

## Fractional Exponents

A fractional exponent is an alternate notation for expressing powers and roots together. Fractional Exponents are also known as Radicals or Rational Exponents. Whole Number Exponents First, look at whole number exponents: The exponent of a number says how many times to use the number in a multiplication. Fractional Exponents Remember that when aa is a

## Equal, Greater, or Less Than

As well as the familiar equals sign (=) it is also very useful to show if something is not equal to (≠) greater than (>) or less than (<) Equality and Inequality Definition In mathematics, equality is a relationship between 2 quantities or more (generally 2 mathematical expressions) asserting that the expressions represent the same

## 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 ×

## Kite

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