In this tutorial, we learn how to know the difference: census, study, & sample survey. The census is when everyone's opinion is needed. An example is when you will see census studies happen throughout the year from the government seeing how many people live in one household. A study is when you only need the opinion of experts. This can be when companies are releasing a new product and need the opinions of doctors or dentists about it. A sample survey is when a few people's opinions are enough....
In this tutorial, we learn how to bisect a line segment. First, you need to adjust your compass so the distance from the sharp part and the drawing part is the size of the line. Then, put the sharp part on one side and draw your arc with the pencil. Do this on both sides of the line so your image shows two arcs that intersect each other. Since you have these two intersecting lines, you can draw a line between these to show where the middle of the line would be. Use a ruler to draw this...
This video tutorial is in the Education category which will show you how to evaluate a line integral along a straight line segment using the definition of the line integral. This video evaluates a line integral along a straight line segment using a parametric representation of the curve (using a vector representation of the line segment) and then integrating. A vector representation of a line that starts at r0 and ends at r1 is r(t) = (1-t)r0 + tr1 where t is greater than equal to 0 and lesser...
In this tutorial, we learn how to find the volume of a pyramid. The equation to figure out how to find the volume of a pyramid is 1/3ab x h. When you begin, find the height, length, and square feet of the pyramid, then fill these into the appropriate spots in the equation. Once you find this, you will be able to find the correct number of the volume of the pyramid. After this, make sure you have the correct labels on the answer that you get from the equation you filled out. When finished, you...
In this tutorial, we learn how to identify the constraints & function to be optimized. When you are asked for the elements of constraints, you are being asked for the plain English version. If you are told you only have so much of something inside of a written problem, then take into account all of the limits that are listed. Once you have these, write them down so you have them in one place. After this, write down the number for the unrestricted part of the problem. After this, you will be...
In this tutorial, we learn how to write equivalent fractions. If you have a negative in front of the fraction, it's the same as writing the negative on the numerator or the denominator. If we would have a negative on the top and on the bottom, this would cancel both out to create a positive, which wouldn't be right. To write the fractions, simplify it. If it's already simplified, you will need to multiply the fraction. After you do this, you will finish the equation and have it written out in...
In this tutorial, we learn how to find the standard deviation with the Z-Score formula. First, take your problem and write it out one by one underneath each other. Then, you will need to substitute the numbers in for the variables that are in the problem. Once you do this, you will follow the basic rules of math to find out what the answer to the problem is appropriately. Once you have done this, finish off the problem to find the answer, then you will have found the standard deviation using...
In this tutorial, we learn how to evaluate functions. A function is an equation with an input and an output. For the value of "X" there is going to be a value for the rest of the values that are in the equation. To start, write out the equation, then substitute the "x" with the appropriate number. After this, substitute the "x" in the rest of the equation where it belongs. Once finished, work out the rest of the equation in the appropriate order. Now you will be able to finish it and get the...
This is a video tutorial in the Education category where you are going to learn how to draw an isosceles trapezoid. This video demonstrates how to draw an isosceles trapezoid with a long base (B), a short base (b) and a 35 degree angle. First you draw the long base. Now center the short base at the center point of the long base and mark the end points of the short base with dots. Next draw perpendicular dotted lines from the dots extending upwards. Draw 35 degree angles from either end of the...
In this video, we learn how to use the PRIME operator in math. The prime operator is the opposite of something in the equation. Take a look at the illustration in the video that is shown. Once you see that, you will be able to tell what A prime and B prime are. A prime is the opposite of "A". If a number is shaded in "A" it should not be shaded in "A Prime". The same goes for the prime of the letter "B". Just pay attention to what the numbers selected for each letter is, then use the opposite...
In this tutorial, we learn how to find the interior and exterior angles of a triangle. I triangle has three angles and their measurement when added together will equal 180. For example, if one angle is 80 and another is 30, then start off saying the equation equals 180. Write in 80+30+X in front of the equals sign, then subtract the combined like terms from the 180. After this, you will have found the value of x, which will also be the measurement of the last angle. Make sure to write out the...
In this tutorial, we learn how to understand fractional exponents. Starting with an example, let's say you have the square root of four as an equation. The answer to this is two. A fractional exponent is not much different than this problem. Let's say you have 4 to the 1/2 power. This would be equal to (2 squared) 1/2. Now, using the third exponent law, the term becomes 2 to the power of two x 1/2. This will leave you with the answer of two. Now you know how to get the correct answer and can...
In this tutorial, we learn how to draw a parallelogram given base, angle & altitude. First, you will draw the base of the parallelogram, using your ruler to measure out the line. Next, you will draw a dotted line perpendicular to the line that you just drew that is 3 cm in length. Then, you will draw another dotted line on top of the one you just drew. This dotted line shows where the top of your parallelogram will be. Then take your protractor and draw it at the angle the problem gives you....
This is a video tutorial in the Education category where you are going to learn how to do fraction multiplication. Before multiplying two fractions together by multiplying across the numerators and the denominators, you should always try to cross cancel as your 1st step. For example in the problem, (-15/4) x (14/5), 15 and 5 will cross cancel to 3 and 1. Similarly, 14 and 4 will cross cancel to 7 and 2. So, what you will get now is (- 3/2) x 7. Also you should take care of the signs. In this...
This is a video tutorial in the Education category where you are going to learn how to apply the 6th Law of Exponents. The 6th law of exponents says, to raise a product to a power, you can multiply each of its factors by the same power. For example if you have (acm) to the power x, that will be equal to the product of (a to the power x), (c to the power x) and (m to the power x). How is this done? (acm) to the power x is same as (a to the 1, c to the 1 and m to the 1). What we are doing is, we...
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...
In this video, we learn how to flip and go to divide fractions. First, take your equation and then look at the fractions that you are given. If you work this out and end up with a fraction that can be reduced further, then reduce it. If you understand how to multiply fractions then you will understand how to divide them. You will take the second fraction in your equation and flip it upside down. Now the denominator will be the numerator and so on. Once you do this, you will change the sign to...
In this tutorial, we learn how to use the distance formula for two points. The distance formula is D= the square root of (X2-X1) squared, plus (Y2 minus Y1) squared. It may look confusing, but it's just a derivation of a theorem. First, find the two points that you have and graph them. If you want to know the distance between them, you cannot just count squares if it's a diagonal line. If you remember geometry, you can draw a right triangle over the line to figure out the distance. After this...
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...
The discriminate of any equation in any degree plays an important role in determining the roots of that equation.
In case of a quadratic equation with a positive discriminate, the roots are real while a 0 discriminate indicates a single real root. A negative discriminant indicates imaginary (complex number format) roots.
As shown in the video (along with a plot of the aforesaid equation), the discriminant of the equation a(x^2) + bx + c is (b^2) - 4ac. This is a straightforward way of...
In this tutorial, we learn how to understand the properties of a square in Geometry. The four angles on the inside of a square have to be right angles. All but be 90 degrees and add up to 360. A square has four equal sides, which you can notate with lines on the sides. The diagonals of the square cross each other at right angles, so all four angles are also 360 degrees. Diagonals have to be equal in length to each other as well. Once you better understand this, you will be able to learn more...
In this tutorial, we learn how to find the percent of a number. First, take the percent and convert it into a decimal. Then, multiply this by your other number. After this, you will come up with the answer to the problem. An example of this would be if you had the question: what number is 25% of 40. First, you would find the decimal of 25, which is .25. After this, you would multiply that by 40 and then come up with the correct answer, which is 10. Repeat this process for the different...
In this tutorial, we learn how to find abc, curve direction & y-intercept (quadratic eq). First, you need to find the a,b, and c of the equation. A will equal what the coefficient is in the equation, B will equal the second, and C will equal the third term. This tells us if the numbers are positive or negative, so so know if the parabola opens up or down. To graph C, you will know what the y-intercept is going to be, then find the matching units. After this, you will use B to shape the parabola...
In this tutorial, we learn how to use the Quintile Formula in Statistics. To find the quintile rank of a formula that is in a certain set, you will first need to count the number you are given. Then, read the equation so you understand what the R, N, equal side, and other numbers mean. Once you understand what all of these mean, fill in the formula with the correct information. Use the information you are given in the question to fill it into the equation. When finished, you will apply the...
In this tutorial, we learn how to simplify algebraic fractions. First you will need to simplify the fractions. You need to factor the numerator out, figure out what A is and what B is. Then, figure out what C is and what the products equal as well. When you have these, you will be able to fill these factorizations into the equation. Rewrite the equation with your figured out numbers inside, then you will be able to solve the equation. Use the rules of PEMDAS to figure out how to solve it, then...
Having trouble with word problems in algebra? Watch this video to clear a few concepts as well as to learn how to systematically tackle word problems in exams.
As explained in the video, the solution to any algebraic problem can be found by using the following 5 steps:
1) Define the variable.
2) Construct the appropriate equation.
3) Properly solving the equation.
4) Finding the solution, taking into account, the conditions mentioned in the problem.
5) Writing the proper units of...
A topic which is taught during school days: The slope - intercept equation of a line in a 2 dimensional space.
As explained in the video, it is written in the following form:
y = mx + b
Here the x and y symbols represent the co-ordinate axes, m represents the slope of the line which is nothing but the ratio of y upon x (in equation form represented as tan(A) = (y/x)) and the symbol b represents the distance from the origin, at which the line intersects with the y axis.
The derivation...
In this tutorial, we learn how to divide fractions step by step. First, you will need to know the different parts of the fraction, the numerator and the denominator. After you know these, you will flip the second fraction in the equation so the numerator is at the bottom and the denominator is at the top. Once you do this, change the division sign to a multiplication sign. Now, you will multiply the fraction as you normally do and then have the answer! This is a very simple way to divide...
In this tutorial, we learn how to find the area of a triangle given three points. First, you will need to plot the points on a graph. After this, find the base and the height using the graph. Next substitute into area of a triangle formula and then evaluate. When you finally find the area of the triangle, then you will write down the answer ending it with the units. This is a simple way to find the area of the triangle, you just have to make sure you count correctly and have calculated the area...
In this tutorial, we learn how to change fractions to decimals. First, you will need to divide the numerator by the denominator. The numerator is the top number and the denominator is the bottom number. Once you get this number, you will end up with a decimal instead of a fractions. When finished, you will end with the number that will be your answer! Practice doing this with simple numbers, then move onto more difficult to test your mind and get better and better at math! This is an easy...
This video tutorial is in the Education category which will show you how to solve single-step inequalities using the reciprocal. Let's solve the problem "negative 5/2 X is less than equal to negative 1/5". To solve for "X", we need to get rid of "negative 5/2". To do that, we multiply both sides of the inequality by the reciprocal of 5/2 and we need to keep the negative sign also. So, we multiply both sides by "negative 2/5". Whenever we multiply a negative to both sides of an inequality, the...
Comparing evaluations of the same thing done on different scales can seem difficult, but there is a simple equation you can use to translate something expressed in one numerical scale into another. This video will show you how to use it and make your math life easier.
The concept of percentage growth or decline is confusing to a lot of people. If you're one of those people, watch this video. It breaks down how percentage change and growth rates work and how you can calculate them from any pair of numbers.
Math is arguably the most important subject your children study in school, and making sure they're keeping up is important. If you want to determine whether you child is performing up to their grade level, watch this video. It will give you ideas for ways to test whether that is the case.
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.
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 demonstrate that a diagonal line drawn from one corner of a rectangle to another will generate two equivalent triangles.
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 problems involving function inverses.
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 express a number as a decimal, percent and/or fraction.
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 explain what a percentage is within the context of basic arithmetic.
This free video science lesson from Internet pedagogical superstar Salman Khan presents a general introduction to the concept of reaction mechanisms 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.
In this free video science lesson from Internet pedagogical superstar Salman Khan, you'll learn how to apply Markovnikov's rule to solve carbocation problems in organic chemistry. Whether you need help studying for that next big ochem 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.
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.
In this free video science lesson from Internet pedagogical superstar Salman Khan, you'll learn how to handle SN2 substitution reactions in stereochemistry. 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.
In this free video science lesson from Internet pedagogical superstar Salman Khan, you'll learn how to visualize chiral molecules 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.
Solving 6 math problems using different methods is the idea behind this video. First, you make three rows of numbers vertically from 1-9. All the numbers match across for example, 1 1 1, 2 2 2, 3 3 3, and so on. Each set of numbers creates a mathematical problem who's solution is the number six. These problems require some thinking to solve. The only one that is immediately apparent is 2 2 2=6 which is, of course, 2+2+2=6, (3x3)-3=6, the square root of 4 =2. This done on all three of 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. With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to sum inches and feet, expressing your result in feet.
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 find the width of a fence when given numbers for its length and perimeter.
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 convert between decimeters and kilometers in basic mathematics.
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 simple percent problems in basic arithmetic.
Need how to know how to add pounds to ounces and ounces to pounds? 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 sum pound and ounce weight units.
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 express ounces as pounds and pounds as ounces.
Want to know how to express yards as miles? 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 calculate how many yards make up a mile.
In this clip, you'll learn how to convert between yards and inches by formula. 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 word problems that require you to express yards as inches or...
Looking for a thorough guide on how to convert between Fahrenheit and Celsius temperature scales? It's easy! And this clip will teach you everything you'll need to know. 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,...
Could you use a hand tackling metric conversions? You're in luck. 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 convert between metric units in basic mathematics.
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 convert between US customary and metric units in basic arithmetic.
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.
Need to know how to express gallons in quarts, pints and cups? 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 convert between gallons, quarts, pints and cups.
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 weight in basic arithmetic.
