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### Defining Number Systems in Algebra

A *number system* in algebra is a set of numbers — and different number systems solve different types of algebra problems. Number systems include real numbers, natural numbers, whole numbers, integers, rational [more…]

### How to Multiply Two Mixed Numbers

Knowing how to multiply fractions will help when it comes to multiplying two mixed numbers. This is because when multiplying mixed numbers, you first have to change them to improper fractions. You then [more…]

### How to Determine Which Data Analysis to Use in Statistics II

Statistics II is often about data analysis, and the trick is to know when to use which analysis method. The following table helps you compare, contrast, and decide what data analysis to use and when. Use [more…]

### Computer Output for Statistics II

If you’re taking Statistics II, you’re likely to face questions on computer output for multiple regression and ANOVA. Professors like to give output on exams and ask you to interpret it. Sometimes they [more…]

### How to Multiply Three Mixed Numbers

Multiplying mixed numbers is quite similar to multiplying simple fractions. Sometimes, you may need to multiply three or more mixed numbers together, for example, when applying one discount after another [more…]

### Statistics II For Dummies Cheat Sheet

Statistics II elaborates on Statistics I and moves into new territories, including multiple regression, analysis of variance (ANOVA), Chi-square tests, nonparametric procedures, and other key topics. Knowing [more…]

### How to Remember the Order of Operations

You have to follow the order of operations with each algebra problem you solve. Following the order of operations in algebra ensures that anyone reading a mathematical expression can solve it the same [more…]

### How to Determine What Variables Represent

Algebra uses letters, called *variables**,*to represent numbers that correspond to specific values. Algebraic variables can represent the unknown and what you’re solving for in an algebra problem, as well [more…]

### How to Change Improper Fractions to Mixed Numbers

Changing improper fractions to mixed numbers can help you better understand the result of an algebraic problem. Improper fractions are simply top-heavy fractions whose numerators [more…]

### How to Create Equivalent Fractions Using Common Denominators

You must find a common denominator if you want to add, subtract, or compare fractions that have different denominators. A common denominator, which means having the same number in the denominator [more…]

### Grouping Symbols in Algebra

Grouping symbols organize an algebra problem that contains multiple groups. Algebraic grouping symbols — parentheses, brackets, braces, radicals, and fraction lines — show where a group starts and ends [more…]

### How to Determine Absolute Value

In algebra, the absolute value operation tells you how far a number is from zero. It doesn’t pay any attention to whether the number is less than or greater than zero, and so absolute values are always [more…]

### How to Add Positive and Negative Numbers with the Same Sign

If you add a positive number with another positive number, the sum is always a positive number; if you add two negative numbers, the sum is always a negative number. So when you have an algebra problem [more…]

### Recognizing Operational Symbols in Algebra

The basics of algebra involve symbols. Algebra uses symbols for quantities, operations, relations, or grouping. The symbols are shorthand and are much more efficient than writing out the words or meanings [more…]

### How to Solve Algebra Problems with Grouping Symbols

Grouping symbols organize an algebra problem that contains multiple groups. These grouping symbols — parentheses (), brackets [], braces {}, radicals (the square root symbol), and fraction lines — show [more…]

### Recognizing Relationship Symbols in Algebra

Algebraic relationship symbols show how numbers or terms of an equation relate to each other. The relationship symbols show if one value is larger, smaller, equal, or approximately equal to another value [more…]

### SPSS Syntax Language Variable Definitions

In Syntax, you can define several different characteristics for each of your variables. Here is the full collection of possibilities among SPSS Syntax language variables: [more…]

### SPSS Syntax Language Statements

A single Syntax language instruction can be very simple, or it can be complex enough to serve as an entire program. A single instruction consists of a command followed by arguments to modify or expand [more…]

### SPSS Syntax Language Predefined Variables

Most of the values used in Syntax are from the variables in the data set you currently have loaded and displayed in SPSS. You simply use your variable names in your program, and SPSS knows where to go [more…]

### SPSS Syntax Language Comments

You can insert descriptive text, called a *comment*, into your program. This text doesn't do anything except help make things clear when you read (or somebody else reads) your code. You start a comment the [more…]

### SSPS Syntax Language Relational Operators

Syntax offers conditional statements that are executed only if conditions are right. Usually those conditions are determined by evaluating the contents of a variable with a logical or relational operator [more…]

### SPSS Syntax Language Logical Operators

Syntax offers conditional statements that are executed only if conditions are right. Usually those conditions are determined by evaluating the contents of a variable with a logical or relational operator [more…]

### SPSS For Dummies Cheat Sheet

SPSS is an application that performs statistical analysis on data. Entering and manipulating information in the application can be done by using SPSS’s proprietary language, which is known as the Syntax [more…]

### How to Distribute Variables

Distributing variables over the terms in an algebraic expression involves multiplication rules and the rules for exponents. When different variables are multiplied together, you can write them side by [more…]

### How to Add Positive Numbers with Negative Numbers

When the signs of two numbers that you're adding are different, forget the signs and find the difference between the numbers — which is the difference between their absolute values. The number farther [more…]