Basic Math & Pre-Algebra

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How to Scale Recipe Proportions with the Table of Joy

An example of proportions that often comes up in maths exams concerns the amount of each ingredient you need for a recipe. You can use the Table of Joy to figure out how to scale a recipe. The recipe is [more…]

What You Need to Know About Angles for Basic Maths Tests

Angle is another word for corner. For example, you may hear of footballers scoring from tight angles, meaning they’ve turned the ball round a sharp corner. The word ‘angle’ also shows up in other words [more…]

What Role Does Tessellation Play in Basic Maths?

Tessellation is a fancy word for fitting shapes together so that there are no gaps between the shapes and none of the shapes overlap – as if you’re solving a jigsaw puzzle, tiling a wall or paving a path [more…]

How to Determine the Area of Compound Rectangles

One of the most troublesome things you have to do with areas is find the total area of a shape made up of several rectangles. This may seem tricky, but after you see what’s going on, things start to make [more…]

Volume and Capacity for Basic Maths

The volume of an object is how much space the object takes up – or, if you were to drop the object into a full tub of water, how much water would overflow. [more…]

How to Read Maps and Plans

Nobody’s going to ask you to draw maps or even read a map in great detail at this stage of your maths career. But you do need to be able to look at a map and understand what it says, to convert distances [more…]

Basic Math Tips: Percents

Percents are commonly used in business to represent partial amounts of money. They're also used in statistics to indicate a portion of a data set. As you practice basic math problems, you'll discover that [more…]

Basic Math Tips: Fractions

Fractions are a common way of describing parts of a whole. They're commonly used for English weights and measures, especially for small measurements in cooking and carpentry. If you want to be proficient [more…]

Basic Math Tips: Decimals

Decimals are commonly used for money, as well as for weights and measures, especially when using the metric system. As you practice basic math and pre-algebra problems, you'll find that decimals are easier [more…]

1,001 Basic Math & Pre-Algebra Practice Problems For Dummies Cheat Sheet

To successfully master basic math, you need to practice addition, subtraction, multiplication, and division problems. You also need to understand order of operations, fractions, decimals, percents, ratios [more…]

Math Topics to Study for the Miller Analogies Test (MAT)

Math: it really is everywhere, even the MAT. If you don’t like math, don’t worry: The Miller Analogies Test doesn’t require you to do a lot of calculation. But you do have to know a few things about the [more…]

Mathematical Order of Operations

The rules for deciding the order to evaluate arithmetic expressions, no matter how complex, are called the order of operations. The complete order of operations in math is: [more…]

Mathematical Inequalities

When two numbers are different in value, a variety of symbols are used to turn them into an inequality. The four most common inequalities in arithmetic are: [more…]

Mathematical Place Value

Our number system (Hindu-Arabic) has ten familiar digits, 0 to 9. Numbers higher than 9 are made using place value, which assigns a digit a greater or lesser value depending on where it shows up in a number [more…]

Understanding Absolute Value and Negation

The positive value of a number is its absolute value. It tells you the distance of a number from zero on the number line. Placing bars (| |) around a number or expression gives you its absolute value: [more…]

Basic Algebra Conventions

In algebra, a letter such as x that takes the place of a number in one or more equations is called a variable. Practices you need to know about how algebra problems are written: [more…]

Solving an Algebraic Equation

An algebraic equation is an equation with at least one variable. Apply operations equally to both sides to modify an equation. For example, you can add 2 to both sides, subtract [more…]

Basic Math & Pre-Algebra Workbook For Dummies Cheat Sheet

To successfully study pre-algebra, understand that a specific order of operations needs to be applied. Also recognize some basic math principles, such as the ability to recognize and understand mathematical [more…]

Converting Metric Units to English Units

The English system of measurements is most commonly used in the United States. In contrast, the metric system is used throughout most of the rest of the world. Converting measurements between the English [more…]

Following the Order of Operations

When arithmetic expressions get complex, use the order of operations (also called the order of precedence) to simplify them. Complex math problems require you to perform a combination of operations — addition [more…]

A Guide to Working with Exponents, Radicals, and Absolute Value

Exponents, radicals, and absolute value are mathematical operations that go beyond addition, subtraction, multiplication, and division. They are useful in more advanced math, such as algebra, but they [more…]

A Quick Conversion Guide for Fractions, Decimals, and Percents

Fractions, decimals, and percents are the three most common ways to give a mathematical description of parts of a whole object. Fractions are common in baking and carpentry when you're using English measurement [more…]

Inverse Operations and Commutative, Associative, and Distributive Properties

The Big Four math operations — addition, subtraction, multiplication, and division — let you combine numbers and perform calculations. Certain operations possess properties that enable you to manipulate [more…]

Basic Math & Pre-Algebra For Dummies Cheat Sheet

With arithmetic a little understanding can go a long way toward helping master math. Some math concepts may seem complicated at first, but after you work with them for a little bit, you may wonder what [more…]

Using Prime Factorizations

Every whole number greater than 1 has a prime factorization — that is, the list of prime numbers (including repeats) that equal that number when multiplied together. For example, here are the prime factorizations [more…]

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