Math

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How to Add and Subtract Fractions in Algebra (Video)

In algebra, adding and subtracting fractions is easy when you find the common denominator. This video shows you how to convert fractions for the common denominator. After you determine the common denominator, you can add and subtract fractions, including story problems, with ease.

How to Find the Volume of a Solid with a Circular Cross-Section (Video)

Calculus allows you to calculate the volume of conical objects by dividing the object into an infinite number of circular cross-sections - geometrical shapes resembling pancakes or washers - and adding up the volume of all those cross-sections through integration. This video tutorial shows you how.

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Mastering the Formal Geometry Proof

Suppose you need to solve a crime mystery. You survey the crime scene, gather the facts, and write them down in your memo pad. To solve the crime, you take the known facts and, step by step, show who committed

Sizing Up the Area of a Polygon

Not only can polygons be classified by the number of sides they have and by their angles, but they can also be grouped according to some of their qualities. Polygons can have three personality characteristics

Simple and Easy Geometry Tips and Tools

The first rule of life? Life (as well as geometry) can be difficult. But why make it more difficult than it has to be? Do you need help with geometry? Here are 11 tried-and-true tips to make your forays

Measuring and Making Angles

On a map, you trace your route and come to a fork in the road. Two diverging roads split from a common point and form an angle. The point at which the roads diverge is the

Classifying Three Types of Triangles

Triangles are classified according to the length of their sides or the measure of their angles. These classifications come in threes, just like the sides and angles themselves. That is, a triangle has

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How to Solve Complex Word Problems

To solve complex word problems, you use the same skills as when you solve basic word problems, but the calculations become harder. For example, instead of a dress costing an amount such as

Find the Absolute Value of a Number

The absolute value of a number is the positive value of that number. It tells you how far away from 0 a number is on the number line. The symbol for absolute value is a set of vertical bars.

How to Find the Factors of a Number

The factors of a number are all those numbers that can divide evenly into the number with no remainder. The greatest factor of a number is the number itself, so you can always list all the factors of any

How to Increase the Terms of a Fraction

Even if fractions look different, they can actually represent the same amount; in other words, one of the fractions will have increased terms compared to the other. You may need to increase the terms of

How to Reduce a Fraction to Its Lowest Terms

Even if fractions look different, they can actually represent the same amount; in other words, one of the fractions will have reduced terms compared to the other. You may need to reduce the terms of fractions

How to Convert a Mixed Number to an Improper Fraction

Although mixed numbers are great for everyday use, it is often easier to work with improper fractions when you want to solve math problems. To convert a mixed number to an improper fraction, follow these

How to Cross-Multiply Two Fractions

Cross-multiplication is a handy math skill to know. You can use it for a few different purposes. For example, you can compare fractions and find out which is greater.

How to Divide Fractions by Finding the Reciprocal

Dividing fractions is just as easy as multiplying them. In fact, when you divide fractions, you really turn the problem into multiplication by using a reciprocal.

How to Find the Sum of Fractions with the Same Denominator

When you add two fractions that have the same denominator (bottom number), you simply add the numerators (top numbers) together and leave the denominator unchanged.

How to Add Fractions with Different Denominators

When the fractions that you want to add have different denominators, there are a few different ways you can do it. Here, you’ll learn the easy way, then a quick trick that works in a few special cases,

Use Rectangles to Identify Composite Numbers

Some numbers can be placed in rectangular patterns. Mathematicians probably should call numbers like these “rectangular numbers,” but instead they chose the term composite numbers. For example, 12 is a

How to Subtract Numbers

Subtraction is usually the second operation you discover, and it’s not much harder than addition. In fact, you can subtract larger numbers by stacking them in columns, similar to how you add large numbers

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

How to Find the Least Common Multiple

The least common multiple (LCM) of a set of numbers is the lowest positive number that is a multiple of every number in that set. For example, the LCM of the numbers 2, 3, and 5 is 30 because

How to Convert an Improper Fraction to a Mixed Number

Although improper fractions are great for solving math problems, the results may be easier for people to understand if you first convert them to mixed numbers. To convert an improper fraction to a mixed

A Closer Look at Pi (p)

The symbol p (pi — pronounced pie) is a Greek letter that stands for the ratio of the circumference of a circle to its diameter. Here’s the approximate value of p:

How to Subtract Fractions with the Same Denominator

Subtracting fractions with the same denominator (bottom number) is easy. When the denominators are the same, you can just think of the fractions as pieces of cake.

Move the Decimal Point to Change a Number’s Value

When you’re working with whole numbers, you can multiply or divide any number by 10 just by moving the decimal point to the right or left, respectively. When you multiply by moving the decimal point to

How to Round Decimals

Rounding decimals works almost exactly the same as rounding numbers. You will usually need to round a decimal either to a whole number or to one or two decimal places.

Adding decimals is almost as easy as adding whole numbers. As long as you set up the problem correctly, you’re in good shape. To add decimals, follow these steps:

How to Subtract Decimals

Subtracting decimals is almost as easy as subtracting whole numbers. As long as you set up the problem correctly, you’re in good shape. Here’s how you subtract decimals:

How to Multiply Decimals

Multiplying decimals is different from adding and subtracting them in that you don’t have to worry about lining up the decimal points. In fact, the only difference between multiplying whole numbers and

How to Divide Decimals

When you know how to do long division, figuring out how to divide decimals is easy. However, unlike dividing whole numbers, with decimals, you have to add trailing zeros in the dividend and you also have

How to Use Trailing Zeros and Leading Zeros in a Decimal Number

When you work with decimal numbers, you need to understand the difference between trailing zeros and leading zeros, as well as how they affect the value of the number.

How to Convert between Percents and Decimals

It is easy to convert percents to decimals and decimals to percents. For example, to convert a percent to a decimal, you drop the percent sign (%) and move the decimal point two places to the left. That’s