Education: Page 44

In this video the tutor explains the 5th Law of Exponents. He reminds the viewer that when polynomials are multiplied, their exponents get added. Now he states that when a polynomial is raised to another power, the exponents are multiplied instead of adding. The 5th Law of Exponents states that when a polynomial with a power 'a' is raised to a power 'b', then the final power of the exponents is the value of the product of the exponents, i.e., a * b. This video states the 5th Law of Exponents...

This video describes how to divide fraction values using simple method. Example we will take as in video "12" should be divided with "1/2" that is "12%(1/2)=?". This is the example we should solve. In first step we has to flip the "Denominator" to easily find the output. So now, we can rewrite the example as "(12/1)%(1/2)".It is in the form of division, when we convert it to multiplication it will change as "(12/1)/(1/2)" and then "(12/1)*(2/1). So, denominator "1/2" flipped to "2/1". In the...

Inside the container we have some water molecules and inside those water molecules we have some sugar molecules. We have more water molecules so in this case the thing which is more of called SOLVENT and the thing which is lesser is called SOLUTE. We can say sugar molecule dissolves in the water. The combination of Solvent and Solute is called the SOLUTION. Diffusion is spreading the molecules from high concentration to low concentration. If we take two containers of water which are joined from...

Addition got you down? An expert instructor from Khan Academy walks you through the mysteries of adding two numbers together by breaking it down into easy to understand terms. Fun animated chalkboard examples make it easy for kids and adults alike to learn how to add. Also demonstrates how to add using the number line. Introduces the concept of numbers less than zero. Includes addition of both large and small numbers, and how to carry over the numbers on more complex problems.

Step 1: Convert the mixed numbers to improper fractions.

This video shows you how to easily remember "greater than" and "less than" math symbols. The first thing you have to remember is that "less than" symbol looks like the letter L ("less than" symbol is "<"). When you see this sign, remember that < looks like L and means "less than". The other symbol, "greater than" does not look like the letter L, therefore it cannot be "less than" and it's easier to remember. The "greater than" symbol is ">". That's it! Good Luck!

In this tutorial the instructor shows how to find the Y-Intercept given the equation of the line in Point-Slope form. He shows how to do this with an example. He tells to substitute the value of x to zero to find out Y-Intercept as Y-Intercept is nothing but the point where the line meets x-axis, where the value of x co-ordinate is zero. By watching this simple tutorial you can easily compute the Y-intercept of an equation in point slope form.

The above video is very informative to anyone who does not know the division of fractions. The author very neatly explains the meaning of a common divisor i.e. it is a number that divides two numbers evenly. Therefore, one must divide a fraction as many times until the remaining fraction has 1 as a divisor. It is very easy to find the common divisor. Both the numerator and the denominator must be divisible by that number. The author in the present video has done a good work.

This video is provided by Mr. Binley. Let's learn this with an example, let's say that we want to divide 0.492 by 0.4, the most important thing remember while dividing the decimal numbers is that we need to convert the divisor into a whole number, here we need to convert 0.4 into a whole number. To do this we need to move the decimal to the right, then 0.4 becomes 4, now do the same thing to the dividend (0.492), move the decimal to the same location that we followed while moving the decimal...

In this tutorial the instructor shows how to find the surface area of a sphere. He explains the equation to calculate the surface area of a sphere as 4 * Pi * r * r , where r its the radius of the sphere. Now if you have the radius of the sphere, by substituting its value in this equation and substituting the value of Pi, you can obtain the surface area of a sphere. If you want to compute the surface area of a sphere watch this video where it is clearly explained how to compute it along with an...

This how-to video explains in detail about an alternate mental subtraction method.

Learn how to translate shapes with a few simple steps.

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...

This technique can be used to write answers for a question asked in the exam or can be used to write a paragraph while applying for a scholarship or while writing a brief letter. The main thing to be considered while writing the paragraph is having an outline, all we need to do is prepare an outline before starting the paragraph. First write the "main idea" that is to be delivered, then the main idea should be supported with additional details, there can be two to three additional points to...

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-Y...

This video tells you how to find a slope of a parallel / perpendicular to it. In the equation y = mx + c, m is the slope. To calculate the slope of a line that is parallel to another line, you have to consider the rule m1 = m2 which means slope of the first line m1 is equal to the second line m2, if both the lines are parallel. Take the equation y = 2/3x - 7.2/3 is the slope. According to the rule m1 = 2/3 and so m2 = 2/3.Now to calculate the slope of perpendicular line you have another rule...

This is a mathematical educational video on how to find extra points for a parabola. In the first two examples there is no need for finding extra points as they have five points and have zeros of the parabola. In example 3 we need to find extra points. The equation is y=4xsquare-4x+4. You can take x= -1 and get the value for y. You will get a point now. Similarly you can substitute -2 for x in the same equation and get the value for y. Now you get another point. Now you can draw the parabola.

In this math tutorial the instructor discusses the properties of a rhombus. He begins by saying that the properties of a rhombus are similar to the properties of a square. He says that the rhombus is a quadrilateral and hence the sum of internal angles of it is 360 degrees. He says that four sides of a rhombus are equal in length. He says that a rhombus has two diagonals which cross each other at their mid points and are perpendicular to each other but says that the lengths of diagonals...

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...

Math always seems hardest until someone shows you how to do the problem and then it all seems just so simple. This video will walk you through the process of finding the surface area of a cone when you also have to derive the slant height. Use this example to help with your other cone problems.

Steps involved in calculating the lateral surface and total area are:

In this video the tutors explain about the concepts of Circular Velocity and Acceleration. She explains the concepts using a real world small experiments. She shows that the equation to calculate circular velocity is v = (2 * Pi * r) / T, where r is the radius of the circle the object moves in, and T being its time period. Now she takes the values from the experiment and calculates the velocity of the other tutor who is the object that runs around in the circle for the experiment. She even...

This video shows you graphically how to learn to divide basic numbers. You are first shown how division works by dividing up money between cartoon characters, and this is then translated into a proper mathematical equation. The teacher does a very good job of showing us that division is an operation performed by everyone almost everyday at some level, and he also shows us how division is actually a reverse of multiplication. By watching this video, you'll be able to learn division of basic...

This is how to calculate the area of a rhombus. A rhombus is a quadrilateral shape in which all sides are congruent. A rhombus has two sets of parallel lines, the diagonals of which form 90-degree angles at the point they meet. Also the angles opposite to one another are congruent. The area of a rhombus can be gotten by multiplying both the diagonals and then dividing the total by 2. Say one of the diagonals is 10 and the other is 12, the area will be 10 x 12 = 120/2 = 60. That is how to...

This video teaches "How to solve Formula Problems".

In this tutorial the instructor shows how to write a Slope-intercept equation that is perpendicular to a line and passes through a point. He shows how to do this by solving an example with sample values. He says that the slope of a line perpendicular to the original line is the negative inverse of the slope of original line. Now he writes down the slope value in the general equation y = mx + c, and by substituting the sample value in the equation he obtains the value of the Y-intercept c, thus...

The first thing you have to do is draw a line of the same length as the radius of the circle you want to draw. Then, open the compass the same size as the line length you draw is. Rotate the compass and you will create a circle. Please note that drawing this on a single sheet of paper can be difficult because the paper can move. Also, you can try rotating the paper, instead of the compass.

This video tutorial shows how to solve inverse proportions. The tutor says that in inverse proportion it works differently than in the direct proportion. He says that in inverse proportion more means less or less means more. He uses the example of driving a car to illustrate his idea. He says that if you drive a car with more speed, you take less time to reach a place i.e. here more speed means less time. He goes on and solves a problem involving inverse proportion explaining how to solve these...

This is a video on writing essays. The video is a part of a series on essay writing. The current video involves inserting examples into an essay that you are writing. The speaker describes how to complement arguments contained within essays that provide support to the argument. The purpose is to improve the strength of arguments and, by extension, the quality of the essay. The speaker goes on to describe different phrases that are helpful in introducing examples into an essay.

Ever thought about writing your own poems? You can learn how to in minutes by watching this adorable video. In it, you will discover how to create your own Limerick and haiku poems. A limerick is a rhyming poem that contains 5 lines and a haiku is a Japanese style poem containing 3 lines. This tutorial will teach you all about the amount of syllables you will need in each of the poems as well as several example poems for you to use for reference. Also, don't forget to take notes!

In order to subtract fractions from whole numbers you have to perform a few steps. First we have to borrow one from the whole number. So if you are subtracting 1/16 from 3, 3 becomes 2. Then you have to change the one you borrowed, so the 1 becomes 16 over 16 or 16/16 to match the common denominator in the fraction 1/16. So 16/16 - 1/16 = 15/16. Then you add the 2 that you had left after you borrowed the one from the whole number. The answer is 3 - 1/16 = 2 15/16.

Working with integers is the basis of all mathematics. Subtracting is naturally a little more complicated than adding. If you are having trouble with subtraction, check out this video. This tutorial illustrates how to subtract integers, as used in high school math courses.

When you divide polynomials, you subtract the exponents. This video is filmed in such a way that the camera is focused on a piece of paper with polynomials while the narrator talks the viewer through each step. He is very clear with showing his work step-by-step while he dictates. Students who are new to dividing polynomials will find this video to be very clear and easy to understand. It's a short video that goes straight to the point which is what people look for when they are seeking...

In this video tutorial the author shows how to use the Cosine Law. He shows how to find an angle of a triangle where he know all the sides of a triangle, using the cosine Law. He uses a lower case letter to designate a side and a capital letter to designate an angel apposite to that side. He gives the formula for the cosine law using a triangle as an example. Now he goes on and demonstrates how to use a scientific calculate. He shows how to use the degree mode in the calculator to solve these...

Multiplying decimals is made easy in this math tutorial. The narrator illustrates the process for multiplying decimal numbers in a very simple to understand fashion. You start by simply ignoring the decimals and multiplying the numbers as you normally would. The video shows you the rest of the steps to arrive at a number with the decimal in the right place.

Another thing you will learn in geometry is volume. In this tutorial, learn how to find the correct volume of a rectangular prism. A rectangular prism is a three dimensional object, which is why you are searching for volume as opposed to area. Check out this video and see just how easy it is to calculate rectangular volume.

In this video the author explains the various concepts like speed, velocity, free fall speed etc., Speed tells you how fast you are going, i.e. it is distance divided by time taken to travel it. Velocity is nothing but speed along with direction. Now she tells that acceleration is used to measure the rate of change in velocity. So she says that acceleration is difference in velocity divided by the time. She also explains that there can be acceleration with out change is speed as there can be a...

This video is about subtracting mixed numbers and renaming.

In this Math Made Easy tutorial the author shows how to subtract positive and negative numbers. He says that because of the numerous combination of positive and negative numbers it adds to a lot of confusion. Now he shows a trick of how to add positive numbers to negative numbers showing that it's equivalent to subtracting the negative number from the positive number. He shows that if you want to subtract a negative number from a positive number we should actually cancel all the signs and then...

This is an excellent educational video on mathematics. This video teaches you how to find the volume of cylinder with an example. The volume of cylinder is the bottom area multiplied by the height. Here, the height is 12 inches and the radius is 9 inches. The bottom area is Pi r square=piix81 sq inches. volume = piix81x12 = piix972