Math How-Tos

How To: Identify characteristics of a sample during a survey

To identify characteristics of a sample in your survey, there are many factors to consider of your samples. The first four characteristics you need to focus on are gender, age, income level, and education level. All four of these characteristics must be proportional to that of the population. You also need to consider the geographic location. Only take samples from the immediate geographical area. Finally, an important characteristic of the survey is the sample size. You do not want to ask to...

How To: Find Z with the Z-Score formula

In this video tutorial the instructor shows how to find Z with the Z-Score formula. He uses a sample problem to show how to find this. He tells you the formula for z which is a real simple formula. Now he notes down the formula on the board and brings in the example problem with sample values. He substitutes the values in the z-score formula and solves it finding out the z value. This video shows how to find z using the z-score formula and also demonstrates the formula using a simple example.

How To: Change mixed numbers to improper fractions

In this Math tutorial, you will learn how to convert a mixed number into an improper fraction. The narrator explains the process in a very concise yet simple manner that will make math problems involving mixed numbers so much easier to solve. The general idea is to multiply the whole number with the denominator and then add that to the numerator. The explanation and illustration in the video makes it easy to understand.

How To: Identify the slope and Y-intercept given y=mx+b

This tutorial shows how to identify the slope and y-intercept given the formula y=mx+b. In this formula m is always going to be the slope and b is always going to be the y-intercept. Therefore if your given a problem like the one displayed in this video: y= 8/3x + 9, the slope would be 8/3 and the y-intercept would be 9. When given these problems all you have to do is match the given numbers to the formula to find the slope and y-intercept.

How To: Find the circumference of a circle in Geometry

In this tutorial the author shows how to find the circumference of a circle. He says that the circumference of a circle can be calculated by using the formula circumference C = 2 * Pi * R, where R is the radius of the circle. He shows how to solve these kind of problems using some examples and calculating the circumference by substituting the value of radius in the formula. This video gives a good introduction on how to find the circumference of a circle.

How To: Convert percents to decimals

Math Problem Generator shows us how to convert the percentage into decimals in a simple and in a very effective manner. To convert the numbers from the percentage mode to a decimal mode you need to know how to shift the decimals. take any number which is in percentage mode, here it is taken as 85.6% and then take the decimal point and move it to the left two times and that is where you will find there is no more place to move. So the resulting decimal would be equal to 0.856. This is a simple...

How To: Multiply fractions with an easy method

In this video the tutor shows how to multiply fractions. She says that compared to adding or subtracting fractions, it is easy to multiply fractions. She says that to multiply fractions first we need to multiply both the numerators together to arrive at the new numerator. Similarly we multiply the denominators to arrive at the new denominator. Now we can further reduce this new fraction to its simple form which is the desired result. This video shows a small step-by-step method to multiply eq...

How To: Find the area of a triangle when given 2 sides & angle

This video shows you how to easily find the area of a triangle when you know the length of 2 sides and the angle between them. The first thing you have to do is mark the sides of the triangle by a, b, c, where a is the side between A and B, b is the side between B and C and c is the side between C and A. If you know 2 of these 3 sides an you know the angle between them you can find the area of the triangle very simple: Area= (a x b x sin c)/2, where a, b are the two sides and c is the angle b...

How To: Find the percent of a number

In this math made simple series of tutorials the author shows how to find a percent of a number. He shows that to compute x percentage of something we need to movie decimal point in the percentage number two places to the left. There fore to compute the percentage of a number we multiply it with the modified percentage number which has its decimal moved two places to the left. He goes and demonstrates this method by solving many sample problems. If you are looking to find out the percentage o...

How To: Multiply integers for beginners

In this introductory how - to video for pre-algebra, the lesson is simple and clear. You will learn the four basic rules for multiplying positive and negative numbers. You will be able to see the rules on the video screen and you will see two examples written on the white board. The video is short and only the basic explanation is given so you will not get lost in all the reasons behind the rules. This is a great video if you need a reminder on the rules for multiplication of positive and neg...

How To: Evaluate exponents

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.

How To: Find an angle when there are pairs of parallel lines

Consider two pairs of parallel lines, one pair horizontally and another is inclined from vertical position. If one of the four angles is given, then the other three angles can be easily identified. First select the angle which is down to the known angle, it will be same as first one. Then according to the law, that a straight lines consists of 180 degrees. For example if the known angle is 114 degrees, the unknown angle will be 180-114= 56 degrees.

How To: Draw a perpendicular line from a point not on line

The narrator in this video shows you how to accurately make a line that is perpendicular to a given line using a compass. This technique involves using a compass to create two points on a line, which will be used to mark an "X" above the given line. Afterwards, all that is needed is to connect the points to create the line.

How To: Subtract with borrowing

For people who are learning basic math skills, this video will show you how to subtract larger numbers which involve borrowing. If the top number on your rightmost digit is smaller than the number before it, you will need to borrow from the column before it. To do this, you will have to cross out the left hand number, subtracting one from its value. You can then add 10 to your original number and continue with your subtraction. If the left hand number is 0 and too small to be borrow from, you...

How To: Find a central angle

This math tutorial shows you using geometry how to find a central angle. The teaching tutorial shows you how each line and angle are used to determine the angles within the geometry problem so that you can figure out the answer to a question. The specific math problem is used for when you are given two diameters and an arc degree. This is a great explanation if you are struggling with any geometry related question or homework problem and would easily be used to help out as a refresher or to h...

How To: Draw a reflection in Geometry

In this tutorial the author shows how to draw reflections in geometry. He shows how to draw them with a couple of examples in which he uses a reflection line and an object whose image is to be reflected. Now he draws perpendicular lines to the reflection line from the vertex of the original figure. He draws similar lines to all the vertexes all of same length and now after joining the ends of those lines a reflection of the original figure is obtained. This video shows a step by step method t...

How To: Convert between metric units

Do you find yourself annoyed with converting between different metric units? If so, this is the tutorial that you need. This video teaches you how to convert between the metric units as well as the reasoning behind the conversion. By the end of the video, you will be able to convert any measurement in the metric system within seconds. By teaching you the prefixes of the metric system, you can also gain the ability to convert metric units in seconds and no longer fear this measuring system again.

How To: Solve a system of equations via the elimination method

Elimination in mathematics is used to find the solution set of a system of equalities. This video tutorial shows how to use elimination to find the solution set of a given equation and offers several examples to illustrate the process. Before applying this method, the equation must be in the form “Ax +By=C.” When graphing a set of mathematical equations that intersect, the answer to the elimination is the point on the graph where the two lines cross.

How To: Find the area of a kite

Math isn't all about finding the area of drawings.. you can apply those same concepts to finding the area of actual objects. In this video tutorial, learn how to find the area of a kite in a video made for students, by students. If you are familiar with geometry and finding area, you will most likely be able to master this concept quickly.

How To: Add mixed numbers with uncommon denominators

How do you add mixed numbers with uncommon denominators? Well, this video provides a detailed step by step explanation as to how to go about such problems. It also provides an example and applies the required techniques to acquire the solution. The video is very precise in its instructions and does not skip any steps. Therefore, the viewer should have absolutely no problem understanding the concepts behind adding mixed numbers with uncommon denominators after viewing this simple and helpful v...

How To: Graph a straight line given its equation

Doug Simms who runs a page at free math tutoring shows in this video a very broken down process that can help you understand how to graph a straight line from an algebraic equation and why it is that way. On a smart projecting board, in a slide show creating software, he explains at a steady pace how to break down a line into its individual line intercepts and an extra point thrown in for verification. After that, he takes the points and puts them on a graph to show you how to. You'll just ha...

How To: Find the perimeter & area of a complex figure

In this video tutorial the author shows how to find the perimeter and area of a complex figure. He shows that a complex figure can be subdivided into standard geometric figures. In the current example he divides the complex figure into a rectangle and a triangle. Now he computes the perimeter by adding the three sides of the rectangle and the two sides of the triangle. Similarly he computes the individual areas of the rectangle and the triangle and finally adds then up to find the area of the...

How To: Convert mixed numbers to improper fractions properly

In this video tutorial the instructor shows how to convert mixed numbers to improper fractions. The instructor gives a two step approach where in the first step he tells you to multiply the denominator with the whole number and add this result to the numerator. Now in the second and final step the previously obtained result is placed in the numerator with the original denominator giving you the answer. This video gives a clear cut two step approach of how to convert mixed numbers to improper ...

How To: Use the TOA formula in trigonometry

The video is a tutorial in trigonometry. The teacher teaches that the tangent or the tan of an angle is the ratio of the opposite side to the adjacent side of a right angled triangle. If one side and one angle is given then the value of the unknown side can be found by solving the equation tan of angle is equal to opposite upon adjacent side. If the angle is to be found then the tan inverse of the value is seen in the calculator.

How To: Find the volume of a regular pyramid

In this video, you will learn how to find the volume of a regular pyramid. Finding this volume is one of the basic steps in high school geometry. This tutorial will show you all of the steps and equations you need to solve this problem and soon you will be heading straight to the top of the class!

How To: Convert to a higher equivalent fraction

A representative from Math Problem Generator explains in this video that converting a simple fraction from its current state to a higher equivalent can be very simple. He explains the process neatly and provides a great example. To convert a fraction, you must multiply the numerator and the denominator by the exact same number. The example he shows is captured from the screen of a computer and is written out in some sort of a painting program. The example shows that four-ninths equals eight-e...

How To: Solve for the missing ratios or proportions

In this video the tutor shows how to solve the missing ratios or proportions. He explains it with an example, where a number in one of the ratios is missing and he intends to find this value. He shows the example of cross multiplication, where you multiply the values on the either side of the equation diagonally and finally solves the equation which results in the value of the unknown value. This is an introductory video explaining how to use rations and proportions to find missing values.

How To: Find the length of a median in a trapezoid

In this tutorial video the author shows how to find the length of the median of a trapezoid. He starts to show that we first need to add the sum of the parallel sides of the trapezoid which are on the either side of the median. Now this obtained value is to be divided by two to get the length of the median. He explains that the length of the median of a trapezoid is nothing but the average of the lengths of the parallel sides of the trapezoid. If you want to learn how to find the length of th...

How To: Divide similar radicals

While dividing the radicals, the numerator and the denominator must be combined into a single term, for example if we want to divide square root of 3 by square root of seven we need to combine the numerator and denominator into a single factor that is square root of 3/7, then we can divide 3/7 which is 0.4285, and square root of 0.4285 is 0.654 which is the final answer.

How To: Find percent

Finding the percent of a given value is made simple and easy in this math tutorial video. In step one you must divide the part or the portion by the whole. As a result we obtain a decimal number. In step two, we must then move the decimal point two places to the right in order to convert the number into a percent value. This brief video tutorial illustrates the process in these two steps and makes it simple for anyone to be able to obtain a percent value for a portion of a whole.

How To: Convert between fraction, decimal & percent

This video is very informative in explaining the different ways to convert. The man in the video makes key points about the rules to make these conversions. He is also helpful in explaining how to convert from every type of number. A viewer watching this video will be able to understand the basics of converting and how to apply the rules.

How To: Find the coordinate of a point

In this video the author shows how to plot a point on the coordinate plane. He explains about the coordinate plane and shows how to read and write points to it with an example. He says that any point on the coordinate plane has an x, y- coordinate values. He says that for any point its projection on the x-axis is its x-coordinate and the points projection on y-axis is its y-coordinate. He shows how to find this out for a sample value and plots the coordinates of it. In this video the author u...

How To: Convert metric units

In this video the instructor shows how to convert between different metric units. He shows a three step approach to do this. He shows a hierarchy of units arranged from millimeters to kilometers etc. Now he says that the first step is to identify the current units of the values. Next you need to identify the units you want the value in. Next he asks you to see which direction you have to move in the graph and by how many places and now he says that to convert the value in the new units you ne...

How To: Expand fractions

This is an educational video from The Free Math Tutor which explains how and why should we expand fractions. This video is basically for kids who have just been introduced to fractions in mathematics.

How To: Divide larger numbers and do long division

This is video for how to divide large numbers by doing long division with easy methods. This video describes that dividing the "Dividend" with "Divisor" to get the "Quotient" and "Remainder" if they exist. In the given example first "25" taken as the Dividend and "5" is will be the Divisor. Divide this value the multiplication is needed. For above example "5*5=25" is the result so, the "Quotient" is "5".If the value is large for example "506" of dividend and "8" of divisor means, first we sho...

How To: Apply the 5th Law of Exponents

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 ...

How To: Divide fractions with a simple method

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 ...