Math Features
How To: Convert mixed numbers into improper fractions
For example consider 1 and 2/3. In this mixed fraction 1 is the whole number and 2/3 is the fraction. You simply have to multiply the denominator with the whole number and add the numerator to the resulting answer. Consider the fraction 1 and 2/3.All you have to do is multiply the whole number 1 with the denominator 3 which is step one and gives you 3 as a result and then add 2 the numerator to the result of step one that is add 2 with 3 and it will give you 5. Then just take the end answer a...
How To: Work with steric hindrance in organic chemistry
In this free video science lesson from Internet pedagogical superstar Salman Khan, you'll learn how to use Markovnikov's rule to understand steric hindrance in organic chemistry. Whether you need help studying for that next big test or could just use a hand finishing your homework, you're sure to be well served by this video lesson. For more information, including detailed, step-by-step instructions, take a look.
How To: Use a formula to find the area of a parallelogram
This video shows us how to use a formula to find the area of a parallelogram. The formula for finding the area of parallelogram is the same as finding the area of rectangle or a square which is equal to length time’s breadth. But the parallelogram looks a bit different and the parallelogram is basically a rectangle but it is not at right angles. If you draw two altitudes then it is a rectangle with two triangles and if you cut one of the triangles and paste it next to another triangle then we...
How To: Find the lowest common multiples
Watchers of this video will learn how to find the "lowest common multiple", the lowest whole number that can be divided by each of two numbers evenly. For example, the lowest common multiple of 8 and 12 is the lowest number of which 8 and 12 are both factors. To find the lowest common multiple of 2 numbers, find the factors of both numbers. One way to do this is to make a "factor tree", drawing branches with factors from each number until it cannot be factored any more. Once both numbers are ...
How To: Use the quadratic formula to solve algebraic equations
Using the quadratic formula to solve equations may bring one, two, or no algebraic solutions. The quadratic formula is special to quadratic equations, which can have fractions, radicals, or neverending decimals. Learn how to solve quadratic equations using the quadratic formula with 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 ea...
How To: Multiply fractions
Doug Simms gives a demonstration of multiplying fraction in a simple and easy manner. The simplest problems have proper fractions to be multiplied by proper fractions, and the answer can be arrived at by simply multiplying the numerator (upper value) of one fraction with the numerator of the other, carrying out the same operation with the denominators (lower values) of the two fractions, and finally, reducing the resultant fraction by a common factor, if any. Doug also gives three other examp...
How To: Simplify rational expressions in algebra
Mathematical expressions containing binomials create double the pleasure for math geeks because they get twice as much expressions to solve.
How To: Use the substitution method to solve problems
This video teaches you how to use substitution to find the point on a graph (the x and y coordinates) where two separate equations would cross. Substitution is a trick of algebra that allows you to find this point without making a graph. The first step is to isolate one of the variables (x or y) in one of the equations. That way, you know that that variable is equal to everything on the other side of the equals sign from it. You can then take that whole side, and substitute it into the other ...
How To: Use the midpoint formula to find midpoint of a line
In this video the tutor shows how to find the midpoint of a line. He goes on and gives a formula to find out the mid point of a line. The x coordinate of the mid point of a line is the average of the x-coordinates of the end points of that line. Similarly the y coordinate of the mid point of a line is the average of the y-coordinates of the end points of that line. He notes down the formula and explains it by taking an example. This video shows how to compute the mid point of a line given its...
How To: Find the equation of a perpendicular line
In this video the instructor shows how to find out an equation of a perpendicular line. If you need to find the equation of a line passing through the given point and perpendicular to another line, the first thing you need to do is compute the slope of the given line. Obtain the slope of the equation by writing it in the form of y = mx + b. Now the product of slopes of two perpendicular lines is negative one. So the slope of our required line will be negative inverse of the slope of given lin...
How To: Find the areas of a parallelogram and a triangle
The video teaches the viewer how to find the area of a parallelogram and the area of a triangle. For a parallelogram, the first step is to find the right angle, the line perpendicular to the base (this is a line you draw, not part of the parallelogram). The height of the line that forms this right angle with the base is the perpendicular height. Next, find the length of the base. The area is the base times the height. For a triangle, find the right angle with the base (again a line you draw)....
How To: Use geometry nets
Viewers learn that a net is the shape formed by "unfolding" a 3-dimensional figure, so a net shows all the faces that make up the surface area of the figure. Viewers are then asked to determine what type of 3-dimensional figure can be made from a given net (note that a cylinder has 2 circular bases, a pyramid has triangular faces, a cone has 1 circular base, and a prism has rectangular faces). Students are also asked to determine if a given net can be used to make a cube. This video will bene...
How To: Solve separable first-order differential equations
Need to know how to solve separable differential equations in algebra? Learn how with this free video 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 finish your homework or study for that next big test).
How To: Change decimals to fractions
In this tutorial, we learn how to change decimals to fractions. First, you will take your decimal and put it over 1. Any number divided by 1 will be that number that you started with. To get rid of the decimal, you can multiply it by hand and moving the numbers to the left. To keep the number the same, you also have to multiply the bottom of the fraction by the same number. Now, you can just simplify the fraction and you will end up with the correct number! This is easy to do and is a great b...
How To: Solve an equations for x
This video demonstrates how to solve algebraic equations of the first degree for the variable, "X"; in other words, the variables contained in these equations are not raised to any power other than one, which is implicit. The video starts out with an example of such an algebraic equation. Before beginning to solve the equation, the video explains the meaning of the equals sign, the definition of an equation, and what a variable is. Next the video explains what is meaning by "solving for X". T...
How To: Find the length of a side of a triangle using cosine
To find the length of a side of a triangle using cosine, you first need to find the angle and which sides are given. After you determine the angle and given sides, you'll need to figure out which trigonometric ratio to use. If you are given the adjacent side and the hypotenuse, you need to use cosine to solve. The degree equals adjacent divided by hypotenuse. In the example, Cos 39=3.5/x. After simplifying the equation, we found x to be 4.49. If the directions ask you to round, be sure to rou...
How To: Multiply rational expressions
The video describes the basic process of multiplying two rational expressions. The problem illustrated in this video involved multiplying rational expressions of monomial terms with integer coefficients. As with the other example problems, we follow the steps of: factoring, canceling, and multiplying. Because these terms are monomials, no factoring is required (but we still state it as a step for similarity to solving other problems). We then find the greatest common divisor for both terms to...
How To: Understand the basics of exponent laws
Before you can effectively use exponents, it is necessary to understand the laws behind them. First, in order to multiply a number raised to an exponent, by that number raised to another exponent, just add the exponents: for example, 2^5 * 2^2 is 2^(5+2), or 2^7. In short, a^m * a^n = a^(m+n). Similarly, dividing a number raised to an exponent by that number raised to another exponent can be done by subtracting the exponents: a^m / a^n = a^(m-n). To raise a number raised by an exponent to ano...
How To: Multiply math fractions
Math is one of those subjects in school where you either love it or hate it or just don't get it. But math is nothing to fear, because it's a part of our everyday lives, and ifs something everyone should know the basics of. Don’t let math intimidate you. Whether you’re multiplying two fractions or a fraction and a whole number, solve the problem without a calculator in just a few steps.
How To: Learn to calculate percent error with this music video
Math, chemistry, physics can all be a very difficult thing to understand. But if you have the right teacher, then it can make life a bit easier. Maybe even a music video explaining it can be a bit easier. In this tutorial, if you're having a tough time with calculating the percent error, this music video may be what you need. So check it out and good luck!
How To: Add fractions with unlike denominators
In order to add fractions that are not alike, you will need to find the lowest common denominator. This is the least common multiple of the fractions. To add 2/3 plus 1/5, you will need to find the lowest common denominator. Here, it is best to think of all of the multiples of the denominators. If it helps, make a list. For 3, it is 3, 6, 9, 12, 15, etc. For five, the multiples are 5, 15, 20, 25, etc.
How To: Add rational numbers
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 the...
How To: Do multiplication
For people who are learning how to multiply, this video will show you easily how to multiply numbers with more than one decimal place. Starting with your rightmost digit on your bottom number, multiply with your top number as if you were doing a simple multiplication problem. After you have finished, place a 0 below the rightmost number of your product as a place holder and continue to multiply with your next digit in the bottom number. After you have completed this for all your numbers, you ...
How To: Subtract fractions with like denominators in basic math
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). With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to subtract fractions with like denominators in basic math.
How To: Add mixed numbers
A mixed number is just another way of expressing a fractional number. This video shows two methods by which two mixed numbers may be added.
How To: Multiply mixed numbers together
In this video we learn how to multiply mixed numbers together. First, take your mixed numbers and write them into an equation. Next, convert the numbers both to top heavy fractions. Now, multiply the top numerators together and then the denominators together. If you can't work out the numbers in your head use a method by writing it out in a table. As soon as you finish and end up with a final fraction, you need to simplify this. Find how many of each number goes into the larger one and then t...
How To: Be a human calculator
Before we had the calculator and before we had the abacus we had the human brain to complete our math problems for us. Remember that? Well, it seems that few of us do, resorting to calculators on our phone for elementary subtraction problems and multiplication.
How To: Find the Volume of Composite Figures (Also Called Composite Shapes)
Composite figures are composed of several geometric shapes and are three-dimensional shapes. The first composite shape is a combination of a rectangular prism and a pyramid. To find the volume of the entire shape you find the volume of each individual shape and add them together. The second figure consists of a cylinder and a hemisphere. Check out the video below for the full lesson.
How To: Find the area of irregular shapes
This video explains how to find the area of irregular shapes. Draw the shape on a grid or graph paper. This will help you divide your shape into pieces. Draw dotted lines to divide the shape into squares, rectangles or triangles. For instance, if you have an "L" shape, you can divide the shape into two rectangles. Be sure your shapes do not overlap. Calculate the area of each individual shape. The graph paper will help you determine the length and width of each shape. Add the resulting areas ...
How To: Rotate a shape about the origin 90° counter-clockwise
Davitily thinks that you can learn to rotate the images quite easily. In this video Davitily explains the process of rotating a geometrical shape about the origin. This rotation is counter-clockwise. Davitily explains the various steps involved in this process. Two steps are explained in this process. The explanation is very simple and done in a very interesting manner. This video is the perfect choice for people wanting to learn the rotation of shapes. This video is a must for people interes...
How To: Find the value of a variable in an algebraic equation
Need help figuring out how to solve simple algebraic equations? Learn how with this free video 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 finish your homework or study for that next big test).
How To: Calculate math without a calculator
Before the calculator and even the abacus was invented, there was a little instrument called the human brain that we used to do math. Remember that? While most of us turn to our trusty Ti-84s to do calculus homework or whip out our cell phone calculators to determine how much we should tip at Johnny Rocket's, it can often be much faster to use our own brains, along with a piece of paper and pencil.
How To: Calculate weight if given the mass
The video shows how to calculate weight if the mass is given and vice versa.Later on in this unit you will learn about Newton's laws of motion and Newton's second law of motion gives us a way to change mass into weight and vice versa.This law will tell you what is happening to objects when the net force on the object is not equal to zero and the easy way to say what will happen is that the object will accelerate.But how much the object accelerates depends on two things,firstly the mass of the...
How To: Find the average value of a function over an interval
When you have to find the average of two or five numbers then you have to add all the numbers and then divide then by two or five respectively. However in the case of the function you have infinite many values over any interval. But it is not possible to add all and then divide by infinity. Therefore you have to calculate in a different way. Imagine that you have to find the average of y=f(x). Then you have to average it from the interval from ‘a’ to ‘b’. The inner area under the curve shall ...
How To: Translate a shape
Learn how to translate shapes with a few simple steps. - First step: Find the new verticals under the transformation which are T3,2. Values are A=(-5,-8), B=(-3,-4), C=(-8,-3), D=(-6,1). Find the points of the verticals on the graph and connect the points one by one until you can get one shape.
How To: Use the ratio formula to find coordinates of a point
This video is recorded in a mathematics class room. It is very clear by the sound and picture. The faculty here is explaining that the ratio between two numbers can be found using various formulae and methods. For example, 3:1 is the ratio between p and q. Likewise he explained the other formulae and methods.
How To: Solve a probability math word problem
In this lesson, you will learn how to solve a probability word problem. Need help with your algebra and geometry? Well...
How To: Write a logarithm as a sum or difference of logarithms
This video shows the method to write a logarithm as a sum or difference of logarithms. The square root of the term given is taken out as half according to the rule. Then the numerator and denominator is divided into product of factors. This is broken into the difference of numerator and denominator according to the rule. Finally, the product of factors is expressed as the sum of factors. Now we see the domain of the term. As the term is a square root of the term it should be greater than zero...
How To: Evaluate square roots
This is the video about how to evaluate square roots. The square root of a number is a number that you can square to get it, that is, a number that you can multiply by itself to get the number. So, 2 is a square root of 4, because 2 x 2 = 4, and 3 is a square root of 9, because 3 x 2 = 9. (-2) x 2 is also 4 and (-3) x 2 is also 9. Numbers that have square roots always have two, a positive one and a negative one, but the square root symbol means only the positive one, so we can have one answer...
How To: Simplify fractions with variables in basic algebra
Need help reducing fractions containing algebraic variables? Learn how with this free video 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 finish your homework or study for that next big test).