In this Education video tutorial you will learn how to know if matrices can be multiplied. If the column of the first and the row of the second match, you can multiply them. For example if, matrix A has 2 rows and 3 columns (A: 2x3) and matrix B has 3 rows and 4 columns (B: 3x4), then you can multiply them. But, if A: 3x2 and B: 3x4, you cannot multiply them. The shape of the resultant matrix will be the shape of the outer numbers. For example, we saw that if A:2x3 and B :3x2, then they can b...
When you need to crunch numbers quickly — and I mean really quickly — there's a cool method you can use to multiply two numbers together in just a few seconds.
This video tells us the method to find the surface area of an aluminium can or cylinder. The surface area includes the outside area of the curved portion and the aluminium top and bottom. The formula to find area is the multiple of 2, pi, r, r+h or (2)(pi)(r)(r+h). The radius of the cylinder is the radius of the circular top or bottom. In the example shown in the video, the radius is 4 inches and the height is 12 inches. Substituting the values in the formula, we get the surface area as (2)(3...
This video describes about how to solve multiple proportions. The first step describes how to cross multiply and solve the equation. There are three proportions solved in this video and they are explained how to arrive the final answer. The first step is multiplying the denominator with the opposite numerator and an answer is arrived and again the same is multiplied to arrive a final answer. Two more proportions are solved in the same manner. The video camera is focused on the white board in ...
A percent problem is one in which you are given a quantity and asked to compute the value of a percent of it. You may also be given the whole quantity and a part of it and asked to compute the percentage of the part in the whole. To do these kind of problems you need to use the rule which states that the ratio of the part to the base it equal to the ratio of the percent to hundred. That is part/base = percent/100. This comes from the definition of percentage which states that percentage is eq...
Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self-study. Students get self-study resources targeted to the needs of individual courses, and teachers gain generic mathematics support and study materials for use with students.
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...
Ever wanted to perform a magic trick but didn't really have the hand eye skills most magicians seem to have? Always thought magic can be performed only by face-to-face and not long distance (say over the phone)? Well think again as I teach you how to do the Mathematical card trick "The Power of Three"
Written Instructions with accompanying video for anyone who wants to make a basic pant exactly to your measurements! Please get your correct measurements before you begin from How to Take Your Measurements.
In this algebra video the instructor shows how to work with complex numbers. When you have a positive number under the square root, you can easily find its value by writing it in the form of product of numbers, and then solving. That is, to find the square root of a positive number, you can find another number which multiplied by itself gives the original number. This new number becomes the square root of the original number. But when you are asked to find out the square root of a negative nu...
This video teaches us the concept of nth roots. The video starts with the square root of constants. We find the number which when multiplies by itself for two times results in the constant inside the square root. Then we find the square root of variables. Here again the same concept is used. We find the variable which when multiplied by itself for two times results in the given variable. Then we find the cube root. Here we find the number which when multiplied by itself for three times result...
In this math tutorial, you will learn how to simplify square roots with product and quotient rules. To begin, you will need to multiply the square roots so that the two square roots in your equation are reduced down into one. The rule for non-negative "A" and "B" is that the square root of "A" multiplied by the square root of "B" yields the square root of A x B.
In this video the instructor shows how to simplify radicals. A radical is nothing but another name for a square root. To find the square root of a simple number the first thing that you need to do is factor it. If you need to compute the square root of a number, you first need to find a number which multiplied by itself gives the original number under the root. For example, to find the square root of 9, you need to find a number which multiplied by itself gives 9. Here the answer is 3. When 3...
In this video the instructor shows how to multiply and divide integers. When multiplying or dividing two numbers if the signs of the two numbers are same then the sign of the result is a positive number. When multiplying or dividing two numbers if the signs of the two numbers are not same then the sign of the result is a negative number. So a positive number multiplied by a positive number gives a positive number. Similarly a negative number multiplied by a negative number gives a positive nu...
Exponents are the times you multiply a number by itself. So 3 to the third power would equal 27. Another example could be 3 to the second would be 9. Any number with an exponent is always multiplied by the same number depending on the power. So this means that 5 to the third power would be 5x5x5, which would equal 125. One thing to remember is that when any number is multiplied by the power of 0, the number always is one.
This is a video tutorial in the Education category where you are going to learn how to write equations in pre-Algebra. Write an equation that represents the following sentence and then solve the equation. The product of n and 6 is 12. That's n multiplied by 6 or 6n = 12. We want to solve our equation for n. That is we want to get n all by itself on the left hand side. Since n is multiplied by 6, we got to divide both sides by 6. So, we get 6n/6 = 12/6. On the left hand side of the equation, 6...
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 change...
Exponent of a number is nothing but the number multiplied to it self the exponent number of times. So five squared it equal to five multiplied to it self. Now when an exponential number is divided with another such number the result is the number raised to the different of the exponents. That is the ratio of x raised by a to x raised by b is x raised to (a-b). Similarly if we multiply a exponential number with other such number, the result is equal to that number raised to the sum of exponent...
JustMathTutoring This video shows the procedure of finding derivatives using the Chain Rule. The Chain Rule states that the derivative of a composition of functions is the derivative of the outside function evaluated at the inside multiplied by the derivative of the inside. This can be stated as if h(x) = f[g(x)] then h'(x)=f'[g(x)]g'(x). This is explained by two examples. In the first example we find the derivative of the sine of square of 'x'. We take the derivative of sine at square of 'x'...
This video shows us the method to find the percent increase or decrease in a quantity. This can be done in 30 seconds. The formula states that the percentage increase or decrease is equal to the product of the ratio of amount (increase or decrease) and the original amount and 100. This is explained by two examples. In the first example the amount of increase of the price of groceries is found by taking the difference of the new price and the old price. This is divided by the original price an...
318770 Multiply or divide rational expressions. Here Ms Robichaudd guides you nicely that how to multiply or divide rational expressions. She starts with divide and simplify. In first step she shows you how she multiplied and flip. And then to simplify it more she took out the common factor from the bracket to cancel the same numbers from numerator and denominator. In next step she multiplied across and got the final answer. And then she gives other example, Multiply and Simplify. Here again ...
This is a mathematical instructional video on how to find the least common multiple. Let us now find the least common multiple for 25, 100, 18. This can be written as 5 square, 2 square multiplied by 5 square, 2 multiplied by 3 square. The highest factor in these numbers are, 5 square, 2 square and square. If you multiply 5 square with 2 square and 3 square you will get the final answer as 900. This is the least common multiple of 25, 100, and 18. This method is explained very clearly in this...
This video explains to you how to find the area of a square. The area of a square is given by the formula
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 ...
The author in this video explains the concept of fundamental rule of proportions. Fundamental rule of proportions means cross multiply. He explains that to arrive from an equation which has fractions into the one without equation multiply the top of left side with the bottom of right side and equal it with bottom of left side multiplied with top of the right side. In this way proportions can be cross multiplied to arrive at an algebraic expression. If you want to master the rule of proportion...
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 ...
When you see a problem involving a fraction, don't freak out. Dividing fractions is actually fairly easy once you learn the simple formula of how to do it.
In this tutorial the author explains of how to find out percentages of a given number. He explains that x percent of some number y is x multiplied by y and divided by 100. He goes on and explains this concept with numerous examples. He suggests a short cut to move the decimal point of a number two digits to the left to divide that number by 100. The author demonstrates many more similar tricks and short cuts using which one can easily solve percentage problems. So if you are looking for a goo...
This video is about multiplying decimals together. The numbers to be multiplied are 1.003 times 2.8. First, you multiply like you would normally. Apply the number of decimal places. Count total number of digits to the right of the decimals. In this case it four. Apply the number of decimal places to the result. Starting from the right move four decimal places. Put the decimal point after the "2".
This video teaches you to subtract mixed numbers with borrowing. Consider 2 mixed numbers. For example 8 and 2/7 and the other 5 and 4/5.You have to subtract 5 and 4/5 from 8 and 2/7. First you have to convert the fractions to their common denominator. To equate the denominators of these two fractions you have to multiply the first denominator with the numerator and the denominator of the second fraction and also multiply the numerator and denominator of the first fraction with the denominato...
The video is about how an old stalled photographic image with faded backgrounds to a normal image. A nice clean digital image is taken and is mixed with a texture of a paper and produces a final composite image of all effects combined. The procedure is not that difficult but it needs to be followed in a proper order. First the paper texture is taken as a base and then the clean digital image is dragged onto this texture. The blending mode is adjusted from normal to multiplied blending mode, w...
Radical expressions are those in which the radical symbol (under root sign denoting the square root or the nth root) is present (either multiplied or added). Solving these is a bit tricky, but involves similar algebraic maneuvers in a different way.
When a number is expressed in the form of x multiplied by 10^y such that, x < 10 and y is an integer, the number is said to be in standard form. Standard form of expressing numbers finds its use in scientific and statistical fields. This video demostrates how to express, as well as perform basic mathematical operations namely, addition/subtraction, multiplication and division of numbers in the standard form using four examples/mathematical problems. The first two examples demostrate multiplic...
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...
Thinking of an unknown exponent as a cat stuck in a tree, you will see how to bring down the exponent by using the the log function. In other words, you will be utilizing the Power Law to bring the exponent down in front of the log function. In this slightly more complicated example, a little work has to be done to first be able to take the log (i.e., get the base by itself). Then once you take the log, the unknown still isn't entirely by itself, so you divide off everything it's being multip...
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 smal...
In this video, Mr. Maisonet provides a quick and easy method for calculating the area of a trapezoid. In the first step, The lengths of the two bases (the two sides of a trapezoid that are parallel to one another) are averaged. The lengths of the bases are first added together, and the sum is divided by two, yielding the average. The average is then multiplied by the height. The resulting product is the area of the trapezoid. This method for finding the area of a trapezoid is mathematically s...
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...
This video shows how to find the equation of the line perpendicular and parallel to a given line. The video starts off with an example, given the lines and the slopes (m). When 2 lines are parallel to each other, they have the same slope. When 2 lines are perpendicular to each other, the slopes multiplied together will give -1. Knowing these rules, the tutorial maker provides an example with numbers. He then leads each step of the process. Each step is written out in either black, red, blue o...
This video both shows the viewer how to calculate the volume and surface area of a cylinder. It also explains what these different numbers mean. The volume is the amount of ‘matter’ that the cylinder can hold. The surface area is literally the area of the cylinders curved face and the two end circles.
