Math Features
How To: Graph a linear equation using slope-intercept form
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.
How To: Graph linear equations with a table of values
The author teaches us how to graph the linear equations with tables. Given a set of linear equations in terms of "x and y", first we have to draw a table having a column each for x and y. We have to enter an arbitrary value of x in that table and substitute that value in the given equation to get the corresponding y value. Once you obtain both x and y values, the next step is to plot them in a graph. Consider an example: in the linear equation x=2y,on substituting an arbitrary value of x=2,we...
How To: Use eigenvectors & eigenspaces for a 3x3 matrix
Learn how to use eigenvectors and eigenspaces for a 3x3 matrix in linear algebra. 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 (or just finish your homework or study for that next big test).
How To: Understand the Pythagorean Theorem
In this video Ken teaches you about the Pythagorean Theorem. The Pythagorean Theorem is used to find the missing length of a side of a right triangle. By watching this video, you will learn how to find any the length of any side by using a simple mathematical formula. Ken walks you through various examples changing the dimensions of the triangle you are solving as well as changing the side you are solving. Ken even includes a real world application to further your understanding of the Pythago...
How To: Find the distance between two points
The user tries to explain to us how to find the distance between two points. It should be noted that we are not talking about using a ruler to measure the distance between two points. The video creator is talking about the math problem that involves finding distance between two points. He uses an electronic white board to explain to us how this is done. He goes step by step and uses a basic equation to help the viewer understand these concepts.
How To: Solve area of inscribed equilateral triangle
This video walks you through the steps of solving a problem that requires us to figure out the area of an equilateral triangle inscribed in a circle. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Find the sum of reciprocals of complex numbers
In this tutorial the instructor shows how to calculate the sum of reciprocals of complex numbers. If you have to find out the sum of the reciprocals of two complex numbers first you will have to find out the least common multiple of the denominators. To do this multiply the numerator and denominator of the first fraction by the second complex number. Similarly multiply the numerator and denominator of the second fraction by the first complex number. Now you will have two fractions whose denom...
How To: Divide numbers with exponents
In this tutorial, we learn how to divide numbers with exponents. The quotient rule states that we can divide two powers with the same base by subtracting the exponents. With the same base, you can subtract the exponents to get something that would be the answer. For example, if you have 6(to the fourth) divided by 6(to the second), this would come to equal 6(to 4-2). This would break down to equal 6(to the second power). Once you have this, you will be able to do the math for this and figure ...
How To: Find the area of a hexagon
In this video you can learn how to find the area of a hexagon. Visualize that the hexagon is made up of six equilateral triangles, with each side of the hexagon as the base for a different triangle. Determine the length of any triangle side by measuring it. Each side should be equal in length to any other side. L will represent this number. Determine the height of any triangle. This can be done by putting one end of your ruler at the halfway point on any side of any triangle and the other end...
How To: Simplify and rewrite the complex number "i"
The powers of the complex number "i" run their course in a cyclical nature, like annual seasons of "American Idol." Simplify your life - or at least your math class life - by learning how to rewrite the powers of "i" into simple, single variable expressions.
How To: Solve word problems involving units of volume in basic math
Need some help figuring out how to tackle application problems involving volume? 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 solve application problems involving units of volume.
How To: "Back out the tax" from a receipt
In this video, we learn how to back out the tax from a receipt. If you have a receipt where you see how much you paid and know the tax rate, except you want to figure out the cost of the item before the tax. First, take the cost of the item including tax and what the tax rate is. To figure out the original price, let x equal the cost of the item. Add the tax to the cost of the item which will equal the cost you paid. Perform the equation 1x+(tax rate)= (total price). After you figure this equ...
How To: Simplify complex rational expressions
In order to simplify complex rational expressions, it is important to be able to find the lowest common denominator. Complex rational expressions are fractions that are divided by fractions. When you have found the lowest common denominator, then, you should multiply both fractions by the common denominator.
How To: Play with a Mobius Strip & topology tricks
This was a three flip mobius strip with one surface that yields a loop with 8 twists. It takes 6 lines to flatten it which leads to 7 zones, one less than the number of resulting twists.
How To: Multiply mixed numbers easily
This video tutorial shows you how to multiply mixed numbers. When doing this the first thing that you want to do is put the mixed numbers into a improper fraction form. From this step you can simplify the numbers based on what you are using. In this case you can take out the 3 and 21 and simplify it to 1 and 7 respectively. From here you do the basic multiplication to get one improper fraction. Then turn this number back into a mixed fraction to complete your problem.
How To: Find approximate area with sigma notation, For Dummies
From the people who brought you the Dummies instructional book series, brings you the same non-intimidating guides in video form. This is Mathematics for Dummies. Just watch this video tutorial to learn how to find approximate area using sigma notation, For Dummies.
How To: Prove an inscribed angle is half of a central angle
This video walks you through the steps to prove an inscribed angle is half of a central angle that subtends the same arc. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you feel like your back in the classroom but rather comfortably from your home.
How To: Convert a percentage to a decimal number
Learn how to easily convert percentage values into decimals in this quick video. When converting percentages it is important to remember that a percentage simply means to divide by 100. For example, take 5%. That means 5 divided by 100 or 0.05. These can easily be done on your calculator once you understand the meaning of percentage. Another example, let's take 23%. Divide 23 by 100 and you get .23. Finally, as a last example takes 99%. Take 99 divide it by 100 and the answer will come out to...
How To: Multiply polynomials with the FOIL method
Looking for a primer on how to solve polynomials via the FOIL approach in basic algebra? 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 (or just finish your homework or study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how...
How To: Multiply 2 digit numbers using the grid method
This video shows the method to multiply two digit numbers using the grid method. First make a grid of three rows and three columns. Put a cross in the first row and first column or the (1,1) position. Separate the ones and the tens in the number. In our example 43 is broken into 40,3 and 56 is broken into 50,6. Put these numbers in the remaining places in the first row and first column. Now multiply every number with the other and place it in the corresponding location in the grid. In our exa...
How To: Complete the square and solve the quadratic equation
In order to solve a quadratic equation by completing the square, take a quadratic equation and make sure that the coefficient of the first squared term in one. If it is not factor it by pulling the term out to get it to one. Now just write down the first two terms in side a bracket and after it add the third term. Now take the coefficient of the x term and take one half of it and square it and put that number back into the bracket. Now as you added a new number, to cancel it out subtract it f...
How To: Perform mental subtraction for math class
Having problems with subtraction. For some people, mathematics doesn't come easy, but there are tricks to solving certain problems, like subtraction. Check out this math video tutorial to learn how to perform mental subtraction for math class.
How To: Multiply fractions easily
In this tutorial, we learn how to multiply fractions easily. First, you will need to know where the numerator and denominator are in the equation. Numerator is on top and Denominator is on the bottom. When you multiply fractions, you multiply the top and then the bottom of the fractions straight across. Once you have multiplied them, you will write your number out as a fraction. Make sure you reduce your fraction as much as you can, or else it will not be a correct answer. To reduce it, see w...
How To: Rationalize the denominators of radicals in math
Need some help figuring out how to the rationalize denominators in prealgebra? 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 (or just study for that next big test).
How To: Find the area of a trapezoid
In this video, we learn how to find the area of a trapezoid. The formula to figure out how to find the answer is: Area= 1/2x (base1 x base2) x height. Now, find the bases and the height of the trapezoid. Remember that the height must always be perpendicular to the bases. Once you have found these, add the bases and multiply by the height. You can use a calculator to do this or do it off hand if you're good with math. For the third step, divide the answer by 2 and then write down the answers w...
How To: Graph an inequality on a number line
Need a little help in understanding the number line and graphing an inequality? Great! Here you will learn a valuable lesson with this how to do video. A basic tutorial, it explains what kind of dot to use when you are graphing inequalities. Then it shows you how to place the dot on the line and where to draw the line in answer to the problem. If you are just beginning your pre-algebra, then this quick video will get you pointed in the right direction.
How To: Reduce a fraction by finding common factors in math
The aim of the video is to show how to reduce a fraction by factoring out prime numbers that are common to both the numerator and the denominator. The example shown in the video is 27/21. The number 27 can be achieved by multiplying 3 by 9 and the number 21 is the result of 3 multiplied by 7. The common factor, therefore in both the numerator and the denominator is 3. 3 on the top divided by 3 on the bottom is 1 and so this can be removed without affecting the value of the fraction, leaving 9...
How To: Find the area of a square or rectangle in geometry
In this video tutorial, viewers learn how to find the area of a rectangle. The formula for finding the area of a rectangle is: A= b x h. The base is the horizontal bottom lie of the rectangle and the height is the vertical straight line of the rectangle. Whenever working with area, users must square the unit of measurement. To find the area of a square, multiple the side of the square twice (square it). This video will benefit those student viewers who are struggling with math, and are in nee...
How To: Solve a proportion word problem in algebra
In this math lesson we will learn how to solve a proportion word problem. Watch the video to learn how to set up a proportion, solve it, and interpret the answer.
How To: Solve word problems using proportions
This video shows the method to solve word problems using proportions. In the given problem, we have to find the time taken by a person to type 390 words if the person takes 1 minute to type 30 words. This can be solved using proportions. We take two fractions which are equal. We type '30 words' in the numerator of the first fraction and 1 minute in its denominator. This fraction must be proportional to the second fraction. The second fraction has '390 words' in the numerator and the variable ...
How To: Divide mixed numbers
In order to divide mixed numbers, you should change the mixed numbers into improper fractions. With the problem 5 ¼ divided by 2 3/8, you should convert both mixed fractions to improper fractions. 5 ¼ becomes 21/4, when you multiply 4 times 5 and add one. 2 3/8 becomes 19/8, when you multiply 8 times 2 and add 3.
How To: Find a percentage of a number
This video in the Education category will show you how to find a percentage of a number. For example, what is 12% of 56? The simple way to do this is to find 10% of 56; which is 5. 6. Then you find 1% of 56 is .56. Then you add 10% plus 1% plus 1%, that is, 5. 6 plus .56 plus .56; which is 6. 72. And that’s the answer. The other way to do this is to make decimal out of 12; which is .12. Now multiply .12 by 56 and the product is 6. 72. These are the two methods of finding out a percentage of a...
How To: Use a change of basis matrix in linear algebra
Need help figuring out how to utilize change of basis matrices in linear algebra? 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 (or just finish your homework or study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how use a ...
How To: Find the equation of a line in point-slope form
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...
How To: Convert a Mixed Number to an Improper Fraction Tutorial
This easy tutorial will show you how to convert a mised number into an improper fraction in a few easy steps.
How To: Graph a line using an x-y table
In this video the instructor shows how to graph a line using X-Y table values. He specifies a four step approach. In the first step he picks numbers for the value of x. In the next step he substitutes the values of x in the equation of the line to obtain the corresponding y values, in the third step he plots these ordered pairs on a graph sheet. Finally in the fourth step he joins them resulting in a straight line for the given equation. This video clearly shows how to graph a line using an X...
How To: Factor trinomials by grouping in algebra
Learn how to factor trinomials using the grouping method in this free video algebra lesson. 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 (or just study for that next big test).
How To: Find the circumference of a circle
In this video tutorial, viewers learn how to find the circumference of a circle. This task is very easy, simple and fast to do. To find the circumference of a circle, multiple Pi with the diameter of the circle. The value of Pi is 3.14. The diameter is equal to 2 times the radius. Simply multiply the radius by 2 to find he diameter. The diameter is the straight horizontal line in the center of a circle. This video provides a demonstration for viewers to easily understand and follow along. Thi...
How To: Convert recurring decimals to fractions
This series of videos demonstrates how to do conversions of recurring decimal numbers to fractions. In a few simple steps, you'll be able to transfer these repeating numbers to simple fractions.
How To: Find partial derivatives of vector-valued functions
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 (or just finish your homework or study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to find the partial derivative of a vector-valued function in linear algebra or vector c...