Hot Math How-Tos
How To: Find the area of an oblique triangle using formulas
In this tutorial the instructor shows how to find the area of an oblique triangle using different formulas. To find the area of an oblique triangle there are different formulae. The first formula to calculate the area of a triangle is area A = (1/2) * a * b * Sin(C), where a and b are the lengths of the two sides of the triangle and C is the value of the angle of the triangle that lies in between the two sides a, b. Now substitute these values in the given formula to find the area if you have...
How To: Divide proper fractions
This video shows you how to easily divide proper fractions. In the first step, you have to calculate how many times does the denominator fit into the numerator. You need to divide the numerator by the denominator. If the denominator does not fit into the numerator, you have to write 0, followed with a point, at the top of the calculation ("0."). Next, you add a 0 next to the numerator (multiply it by 10). Now, you have to calculate how many times does the denominator fit into the numerator ag...
How To: Write the equation of a circle in standard form
Here you'll be shown how to take the equation of a circle, and convert it into standard form. Also, it will be explained just what standard form is, while running through the process of conversion. You'll be able to use techniques to quickly work off the numbers on the equation, one by one, until it's simplified enough to understand. Complicated algebra functions become much simpler when you see these easy to use techniques, that will help you rearrange the equation into a form that is actual...
How To: Find the area of rectangles, triangles & rectangles
In this tutorial the author shows how to find the area of Rectangles, Triangles and Parallelograms. He says that an area of a figure is nothing but the amount of space taken up by that figure. He now explains that the area of rectangle is length times the breadth. He demonstrates it with an example. Now he says that an area of a parallelogram is base times height. He also demonstrates how to find the area of a parallelogram. Finally he shows the area of a triangle is half times the product of...
How To: Calculate the area of a parallelogram
Calculating The Area Of A Parallelogram A parallelogram is a 4-sided shape formed by two pairs of parallel lines. Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is:
How To: Calculate simple interest
Learn how to calculate simple interest with step-by-step instructions using the formula I=prt. Simply defined, interest equals principle times rate times time. The video shows various examples of calculating this formula by plugging different variables into the equation. Although, these calculations can seem hard to follow, the way they are presented is straightforward and simple to understand. The video also explains converting percentages to decimals, which is the cornerstone of applying th...
How To: Write a slope-intercept equation given an X-Y table
In this tutorial the author shows how to derive a slope-intercept equation of a line given an X-Y table. He explains that the general form of slope intercept form which is y = m*x + b. Now he intends to find value of slope, i.e. m first. Now slope is change in y over change in x. He computes the slope using the X-Y values from the table. Next he substitutes a pair of x, y value in the equation to compute the value of y intercept b. Now finally substituting the values in the equation the slop-...
How To: Remember "greater than" & "less than" symbols
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!
How To: Find the slope, given a graph
If you watch this video, you will learn what slope is, and how to find it. Slope is defined as rise divided by run, where rise in the increase the Y coordinate and run is the increase in the X coordinate. For example, if you pick two points, you can travel from the left point to the right point. However many points you go is the run. How far up you go is the rise. For example, if your rise is 4 and your run is 2, then you divide 4 by 2 to get your slope, 2. When you're finding the rise, if yo...
How To: Find the surface area of a cone without slant height
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.
How To: Find the Radius of a Circle from Arc Length
The video provides two example problems for finding the radius of a circle given the arc length. Problem one finds the radius given radians, and the second problem uses degrees.
How To: Use PEMDAS to evaluate an algebraic expression
Algebra is not as hard as it looks. Learn how to evaluate expressions correctly by using the order of operations, which can easily be remembered as PEMDAS- Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. You can solve any problem in algebra with this approach.
How To: Understand the differences / similarities between squares, rectangles & rhombi
This math lesson from Yay Math covers four-sided shapes in geometry. Learn about the differences and similarities between rectangles, squares and rhombi (the plural of rhombus). The properties of rhombi and squares are covered, so sit back and enjoy this educational (and FUN) math lesson.
How To: Solve population proportion problems in statistics
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 pop. proportion problems in stats.
How To: Use a unit circle to find trig values
In this tutorial, we learn how to use a unit circle to find trig values. The unit circle has a radius one, use the definition of the trig functions to figure this out. Write them down if you need to, to remember what they are. You will also need two special triangles to help figure this out. Make sure you know the short side is opposite 30 degrees. Now, draw out your graph and find the ordered pair of pie, then find the y value of it. From here, find the cosine, tangent, and other units using...
How To: Rationalize a denominator that contains a surd
In this video, we learn how to rationalize a denominator that contains a surd. First, you need to rationalize the denominator by removing any square root sign. To do this, you will multiply the fraction but the flip of the denominator over itself, with the square root. Then, you will multiply the top by the bottom with the square root and this will remove it from the equation once you do the math to multiply it out. Once you're done, the number will be rationalized and you will have the answe...
How To: Divide and give an answer as a fraction
In this video we learn how to divide and give an answer as a fraction. If you are starting out with a simple fraction, you will simply take the number before the divide sign on the top and the second number on the bottom. If you end up with a number that is able to be simplified, make sure you take it down to it's most simple version possible. You can end up with a top heavy fraction, which means there will be whole numbers involved. Do the division to figure out how many times the bottom num...
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: Convert Fahrenheit to Celsius for chemistry
This is a video tutorial in the Education category where you are going to learn how to convert Fahrenheit to Celsius for chemistry. Doing this is really simple and easy and doesn't take much time. But, you must know the formula for doing the conversion. The formula is degrees Celsius is equal to degrees Fahrenheit minus 32 divided by 1.8. Using this formula let us convert 75 degrees Fahrenheit to degrees Celsius. Inserting 75 in the formula, we get (75 - 32) divided by 1.8. and the answer is ...
How To: Compare 2 distributions with the Z-Score formula
This is a video tutorial in the Education category where you are going to learn how to compare 2 distributions with the Z-Score formula. In this example Doug's class has X bar as 71 and a standard deviation of 4. Corey's class has X bar as 68 and a standard deviation of 11. If both Doug and Corey beat the class average and have the same standard score, will Doug have a lower grade than Corey? If both of them have a standard score of 1.5, then Doug will get 77 marks and Corey will get 84.5 mar...
How To: Find how many toothpicks will be needed to form the nth figure in a sequence
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 employ inductive reasoning to determine the number of toothpicks you'll require to generate the nth (e.g., the 50th) figure in a sequence of figures.
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: 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: Convert mixed numbers into top heavy fractions
In this video tutorial, viewers learn how to convert mixed numbers to top heavy fractions. This task is very easy, fast and simple. Begin by multiplying the whole number with the denominator and then add the numerator. In the final answer, the numerator will be greater than the denominator. The denominator stays the same and does not change. This video provides several examples and demonstrations for viewers to have a better understanding. This video will benefit those students who are strugg...
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: Solve word problems containing radical equations
See how to unpack and solve a word problem containing radical equations with this free video math lesson from Internet pedagogical superstar Simon Khan. 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: Solve word problems involving mixtures
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 unpack and solve word problems involving a mixture of two or more substances.
How To: Solve basic linear function word problems in algebra
Need some help solving linear function word problems? See how it's done with this free video math lesson. Need help finding the 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 o...
How To: Find the sum of consecutive odd integers in math
Need some help figuring out the sum of a string of consecutive odd integers? See how it's done with this free video math lesson. Need help finding the 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...
How To: Simplify expressions involving absolute value
Need to know how to simplify expressions involving absolute values? It's an absolute cinch. 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). With this free math tutorial, you'll learn how to divide one fraction into an...
How To: Find the formula for a piecewise function from a graph
Need to know how to find the formula for a piecewise function from a graph? 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: Graph a rational function using limits
Need help figuring out how to graph a rational function with limits? Learn how to graph a rational function using limits to find discontinuities and functional asymptotes 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: Graph a system of linear equations on a TI83 or TI84
Need to know how to solve a standard-form system of linear equations by graphing using a TI83 or TI84 series graphing calculator? 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: Use matrices to solve systems of equations on a TI83
This video shows how to use matrices to solve systems of linear equations on TI83 and TI84 series graphing calculators. 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: 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: Determine the eigenvalues of a 3x3 matrix
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 determine the eigenvalues of 3x3 matrices in eigenvalues.
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: Solve equations with algebraic variables on both sides
In basic algebraic equations all the variables are on left side of the equation. But as the complexity of the problems increases you will find that the equations will contain variables on both sides of the equation. To solve these kinds of problems first simplify the equations on each side of the equation. You can use the distributive law to do this. Next try to cancel the variable on the right side of equation by adding the negative value of that variable to both the sides of the equation. N...
How To: Simplify square roots in less than a minute
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...
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...