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### How to Perform Associative Operations

Addition and multiplication are both *associative operations*, which means that you can group them differently without changing the result. This property of addition and multiplication is also called the [more…]

### Find the Square Root of a Number

A square root is the most common root operation. A root is the inverse operation of an exponent (which means that it undoes an exponential operation), and so a [more…]

### Evaluate Mathematical Expressions

The ideas of equality, expressions, and evaluation are vital concepts when working with equations.**An ***equation* is a mathematical statement that tells you that two things have the same value — in other words [more…]

### How to Solve Equations with Parentheses

In math, parentheses — ( ) — are often used to group together parts of an expression. This helps you to find the order of precedence when you work with equations. When it comes to evaluating expressions [more…]

### How to Multiply Numbers

To multiply numbers, you need to know how to work with the different times signs as well as parentheses. If you multiply large numbers, you also need to know how to stack them in columns, so that you can [more…]

### How to Tell One Differential Equation from Another

Before you can solve a differential equation, you need to know what kind it is. There are several different types of equations, including linear, separable, exact, homogeneous, and nonhomogeneous. [more…]

### Two Effective Ways to Solve Differential Equations

You can solve a differential equation in a number of ways. The two most effective techniques you can use are the method of undetermined coefficients and the power series method. [more…]

### Solving Differential Equations Using Laplace Transform Solutions

Laplace transforms are a type of integral transform that are great for making unruly differential equations more manageable. Simply take the Laplace transform of the differential equation in question, [more…]

### Differential Equations Workbook For Dummies Cheat Sheet

Once you’ve figured out the type of differential equation you’re dealing with, you can move on to solving the problem by using the method of undetermined coefficients or the power series method. If a stubborn [more…]

### The Basics of Evaluating Equations

An *equation* is a mathematical statement that tells you that two things have the same value — in other words, it's a statement with an equals sign. The equation is one of the most important concepts in [more…]

### Applying Order of Operations to Expressions with Only Addition and Subtraction

Some expressions contain only addition and subtraction. When this is the case, the rule for evaluating the expression is simple. When an expression contains only addition and subtraction, evaluate it step [more…]

### Applying Order of Operations to Expressions with Only Multiplication and Division

Some expressions contain only multiplication and division. When this is the case, the rule for evaluating the expression is pretty straightforward. When an expression contains only multiplication and division [more…]

### Applying Order of Operations to Mixed-Operator Expressions

Often an expression contains at least one addition or subtraction operator and at least one multiplication or division operator. These expressions are [more…]

### Applying Order of Operations in Expressions with Exponents

Evaluate exponents from left to right *before* you begin evaluating Big Four operations (adding, subtracting, multiplying, and dividing). The trick here is to turn the expression into a Big Four expression [more…]