Math: Page 16

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps. With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to multiply and divide rational algebraic expressions.

Area of a triangle can be calculated when you have the length of its base and height. In this case the area is 1/2 times the base and its height. If you do not know the height of the triangle but know the lengths of all the sides of the triangle then you can calculate its area using the Herons formula. First to use it you need to computer the semi perimeter of the triangle S, which is S = (a + b + c)/2, where a, b, c are the lengths of the sides of the triangle. Now the area of the triangle is...

This video is about Annual percentage Rate(APR) and the Effective APR rate.The video begins with an example of a credit card which has a APR rate of 22.9% and daily periodic rate of 0.06274%.You can get the APR rate by multiplying the daily peiodic rate with 365, which in this case will be 0.06274*365 which is equal to 22.9.If you convert the daily periodic rate into decimal values , it will be 0.006274.So for example, if you have 1 dollar in your balance on day 1, on day 2 you will owe...

This tutorial, taught by a teacher from Lincoln High School in Los Angeles, CA, will teach you how to find the volume of a cylinder when given its radius.So, if you are having trouble with this concept, or you're just not connecting with your own teachers, give this tutorial a try. This step by step will show you, with examples, how to determine volume and pass your geometry class with flying colors.

To solve simple algebraic expressions you have to use different properties. Distributive property is one among them. To apply distributive property in a algebraic expression multiply each term inside the parenthesis by the outside term. In this way you are distributing the outside term to all the inside terms and removing the parenthesis. Hence it is called distributive property. After multiplying add the like terms to simplify it further. Care should be taken to ensure the proper sign changes...

Exponential functions are functions which contains terms which are integers raised to the power of variables. Note that the variables are not raised to the power of integers, but the integers are raised to the power of variables. Variables raised to the power of integers are called as polynomials and are a different class of functions. But exponential functions grow very fast than polynomials with the increase in the value of the variable. To understand the growth of these functions take a...

When a triangle is inserted in a circle in such a way that one of the side of the triangle is diameter of the circle then the triangle is right triangle. To prove this first draw the figure of a circle. Now draw a diameter to it. It can be any line passing through the center of the circle and touching the sides of it. Now making this as the side of a triangle draw two lines from the ends of the diameter to a point on the circle. Now join the center of the circle to the other vertex of the...

Learn how to add rational, or fractional, numbers by following the tutorial in this video. In the case of fractions where the denominators are the same, the addition is simple: you simply add the numerators and keep the denominator the same. When the denominators are not the same, you need to find the least common denominator (or multiple). Take a look at your denominators and test different numbers to find the smallest multiple of the two. Then, convert the two original fractions so that their...

Khanacademy tackles problems involving multiplicative inverse (i.e. taking the number one and dividing it by that number) and dividing rational numbers in its simplest form (lowest common form).

Given a equation of a line, you can graph the line. A system of equations is nothing but equations of more than one line. In a single equation all the points that lie on the line, satisfy the equation of the line. Similarly a solution of a system of equations is points that satisfy each and every equation of that system. A system of equations can have a single point as solution when the lines intersect at a common point, or have a unlimited points in solution when the lines overlap on each...

Khanacademy teaches us how to handle simple inequalities (less than or more than). In an equation, we usually have one solution. In problems involving inequalities, there is a whole set of answers. For instance, x minus five is less than 35. The answer for x is a whole series of numbers that when five is taken away from it, is less than 35. This equation is handled like any other equation involving an equal sign. We add five on both sides of the equation and the answer for x is any number that...

The first problem that is show is exponential decay. First you will need to create a table with hours and substance left. The next step is to find the trend by noting that we are left with a certain percentage of the substance. One you have the trend you will use this to calculate the amount of substance left in said hours, in this case 6 hours. The following example shows you how to solve exponential growth. It is essentially the same except for the fact that you will be increasing, so instead...

A square root of a number is a value which when multiplied to it self gives you the original number. The square roots of perfect squares are whole numbers. Like square root of 9 is 3, because 3 times 3 is 9. Similarly square root of 81 is 9 because 9 times 9 is 81. Others numbers do not have a perfect square root and in those cases you can only simplify the number to an extent. So to find out the square root of any number first you need to factorize that number. Factorize the number into...

When you are given a point through which a line passes and the slope of that line, you can calculate the equation of that line. The general equation to solve this kind of equations is called as point-slope form. The point slope of a line passing through (a, b) with slope of m is (y - b) = m * (x - a). Now substituting the values in the above equation you can obtain the equation of the line in terms of x and y. In case you are given with two points first find the slope of the line which is the...

Decimal numbers are numbers which contain a integral part before a point and a decimal part after the point. The first step in solving decimal arithmetic is being able to understand decimal numbers. Reading a decimal number is similar to reading a whole number except for a few minor differences. In a normal number the right most digit is ones place and the place next to it is tens place and so on the value of the position increases as you move left. But a decimal number starts from a tenths...

If you have a circular or semicircular protractor like the one used in this video, making a pie chart is as easy as – well — pie. This will teach you how to use your protractor to measure out each individual slice in your pie chart. Learn how to visualize statistical data through hand-drawn pie charts with this free video math lesson.

Sometimes it is much easier to work out an equation if your numbers are in decimal form instead of fractions. This is especially useful if you are using a basic calculator.Check out this tutorial and learn exactly how to convert fractions into decimals in math class.So, if you are new to conversions, or simply need a refresher, have a look at this informative video and start rockin' your math tests.

Are you "just not a math person"? Hogwash. Everyone seems to think that at one point in their life. With a little practice and study, math will become more and more easy to understand. Start your journey towards become a "math person" with help from this video, which teaches how to graph a linear equation using slope-intercept form.

This video shows the method to solve a pair of linear equations by plotting their graph. Look for points of intersection of the two graphs which is the solution. Let us solve 5x-y=6 and 2x+y=8. Writing the equations of lines in slope intercept form, we get y=5x-6 and y=-2x+8. Now we plot the two lines. For the slope 5 or 5/1, we go up 5 units and left 1 units from the point of intersection on the y axis. For -2 or -2/1, we go down 2 units and left 1 units from the point of intersection on the y...

When you start out using fractions, one of the first things you will learn is how to add and subtract them. In this tutorial, made specifically for beginners, you will learn the basics of adding fractions with mixed numbers. This is really not very hard and if you follow along with the step by step presented in this tutorial, you will have the hang of it in no time. Once you master this step, you will be well on your way to an A in your math class!