Hot Math How-Tos
How To: Solve a simple addition problem with the number line trick
It may seem elementary to some, but there are still those (especially young children) who cannot add two numbers together. The easiest way to start out with addition is with the number line trick. This math video shows you the quick trick to learning simple addition problems. From here, things only get tougher.
How To: Use the divisibility rule to test if a large number is divisible by 3
If you're looking for an easy way to determine if a number is divisible by 3, then look no further than the divisibility rule. It's a shorthand way to tell if any given number can be divided by 3, without actually performing the division. Take the number in question, and if the sum off all the digits is divisible by 3, then the original number will be, too. There are four examples in this math video.
How To: Find the variance of differences of random variables 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. For all of the details, watch this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, we learn how to calculate the variance of differences of random variables.
How To: Do hypothesis testing with a large sample proportion in statistics
Learn how to do large-sample-proportion hypothesis testing in stats! 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. For all of the details, watch this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials.
How To: Calculate a t-statistic confidence interval for a small sample size
Want to find the value of a t-statistic confidence interval for a small sample? This clip's your ticket. 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. For all of the details, watch this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials.
How To: Do a small-sample hypothesis test in statistics
Need a hand figuring out how to do small-sample hypothesis testing in stats? 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. For all of the details, watch this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials.
How To: Calculate Type I (Type 1) errors in statistics
Need a quick primer on how to solve type-1 error problem in stats? Let this video be your guide. 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. For all of the details, watch this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials.
How To: Work with z-scores and t-statistics in statistics
Learn about the difference between z- and t-statistics with this video guide. 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. For all of the details, watch this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials.
How To: Use one-tailed and two-tailed tests in statistics
Can't make heads or tails of one- and two-tailed tests? Never fear. This stats lesson 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. For all of the details, watch this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials.
How To: Construct a small sample size confidence interval using a t-distribution
Learn how to build small sample size confidence intervals using t-distributions. 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 construct a small size sample confidence interval using t distribut...
How To: Calculate mean and variance for a Bernoulli distribution
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 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 calculate mean and variance for a Bernouilli distribution.
How To: Find sample distribution 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 (or just 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 calculate sample distribution in statistics.
How To: Calculate mean & variance when given a Bernoulli distribution 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 (or just 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 calculate the mean and variance of a Bernouilli distribution.
How To: Calculate the confidence interval in basic 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 (or just 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 calculate a confidence interval in basic statistics.
How To: Find a 95% confidence interval for a proportion 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 (or just 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 find a 95% confidence interval in statistics.
How To: Evaluate successive percentage changes
The concept of percentages may be a bit difficult to grasp for some beginner level learners. This video attempts to explain the concept of percentages in an easy to understand way.
How To: Multiply decimals together
In this tutorial we learn how to multiply decimals together. Start off by ignoring the decimal points on the equation and just imagining you have normal numbers. Then, multiply the two numbers that you wrote down together. Once you figure that out, it will be time to reintroduce the decimals. Look at the place the decimal is in each number in the beginning equation. Then, add the decimal places together between each of them. From here, place the decimal on the end of the answer you came up wi...
How To: Graph an equation
In this video, we learn how to graph an equation. First, pick a point out of the equation and see if it's a solution to the equation. This equation shows where two lines cross in the math problem. See if the two coordinates are part of the line that is on the equation. The two numbers are going to be the 'x' and 'y' that you plug into the equation. Once you have these written out, you will be able to graph them using the coordinates on the graph. Once finished, you will have graphed the equat...
How To: Multiply and simplify square roots
In this tutorial we learn how to multiply and simplify square roots. When you multiply square roots, you will first need to put them under one radical. From here, you will need to factor out what you have. Once you find a perfect square, find the square root of it. You can either write these as all separate equations or pull the perfect root on the outside of the other parts of the equation. Do the math until you find what you are left with. From here, you can do basic math to find what's lef...
How To: Graph a circle
In this tutorial, we learn how to graph a circle. When given an equation to graph the circle, you will first need to find the vertex of the circle. Once you find this, you can use those coordinates to mark the vertex on the graph. Follow the negatives and positives to go up, down, left, and right on the graph. Next, you will need to find the 'r' value of the equation. After this, you will use this to continue to graph the rest of the points around the vertex. When finished, draw the outline o...
How To: Solve an equation with fractional powers
Solving equations involving fractional powers of a variable are not that hard to solve as they sound. In fact, just watch this video to learn a few tips and solving these type of equations will become a little bit easier.
How To: Subtract decimals
In this video, we learn how to subtract decimals. If you can subtract using basic numbers, then you will be able to subtract decimals. First, you will line up the tens and the other units of the numbers. Once this is finished, you will start to take away the top number from the bottom number. Borrow from the number to the left if you need to, then write down what you are left with on the bottom. Once you come up with your number, make sure you place in the decimal point where it goes. All you...
How To: Solve multi-step equations with variables on both sides
This video is aimed at beginner level viewers and shows one of the basic techniques involved while solving linear equations having one variable.
How To: Subtract rational expressions
In this video, we learn how to subtract rational expressions. To start, you will need to find common denominators. To do this, factor out the denominators in the fractions on both sides of the equations. Now you need to build the lowest common denominator for these two fractions. To do this, take the first denominator and take whatever is missing from the second. After you do the math for this, you will build new fractions with the common denominator as the denominator. Leave the denominator ...
How To: Factor differences of squares
A video that demonstrates one of the basic techniques involved in factorizing an equation that contains the difference of two terms which are also perfect squares themselves and are equated to 0.
How To: Understand angle relationships
In this tutorial, we learn how to understand angle relationships. Start out by drawing an angle out and looking at the different parts of it. From here, you will start to find where the different angles are. Linear pairs equal 180 degrees and are on a straight line. Once you learn this, you can write them out on the paper. Supplementary angles equal 180 degrees as well. Two angles that add up to 90 degrees are complimentary angles. Once you learn the relationships between angles, you can bett...
How To: Understand completing the square
In this video, we learn how to understand completing the square. First, you will write the quadratic expression out. Then, you will write the open bracket so you write it out in the correct format. Now, find the number in front of the 'x' term, which is the coefficient. Then, write this number on the other side of the equation in the parenthesis. From here, you will need to follow the proper rules of math to find out what the square is equal to. When you are finished, make sure you label the ...
How To: Factor a trinomial by grouping
Factor a trinomial by grouping
How To: Understand negative exponents
In this video, we learn how to understand negative exponents. The one rule you have to remember is when you have a number with a negative power, then you need to divide it over one. You can take this term and put it in the denominator of your fraction to make it a positive exponent. For example, if you have 5 to the -1, then you can move the 5 to the denominator and get 1/5, which is the same exact thing! This is one of the most basic rules in math. Once you understand this, simplifying fract...
How To: Add rational expressions
In this tutorial, we learn how to add rational expressions. When you have two rational expressions, you will first need to factor every denominator. After this, find the lowest common denominator from all of them. After this, rewrite every fraction so it has the lowest common denominator for the denominator. Leave it in factored form for the denominators. Multiply the top and the bottom to find the answer for each of the fractions in the equation. When finished, make sure you find the most si...
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 square roots
In this tutorial, we learn how to rationalize square roots. You cannot have square roots in the denominator of an equation. You need to multiply so the square root goes away. You can do this by multiplying the top and bottom of the equation by the bottom denominator. From here, this will make the square root go away, so your equation will be normal numbers. After you have done this, you will have the equation answered and you will be able to simplify it to find the end answer. You can do this...
How To: Graph a parabola
With this tutorial, we learn how to graph a parabola. The way you can tell it's parabola is that the 'x' value will be squared. With a line, 'y' and 'x' are not squared. The 'a' is the number in front, which will also be the coefficient in the graph. 'B' will be the number following that and 'c' will be the last number. Once you identify these, remember that they are always numbers. From here, you can draw out your graph. Follow the numbers that you just listed and then you can graph it out c...
How To: Calculate a limit at infinity with a radical
In this video, we learn how to calculate a limit at infinity with a radical. The idea is to take out the higher power of 'x' in the denominator first. If the x squared is under a radical, take that out so you're left with just 'x'. After this, divide every term by 'x'. Once you are finished with this, you can rewrite the equation. Next, you will use the rules of math to find the answer of the equation. This is hard math to do if you aren't used to it! Make sure you practice with the samples i...
How To: Use inductive reasoning
In this tutorial we learn how to use inductive reasoning. Start out with your equation that is giving you your statement. You need to prove whether this is true or not by figuring out the equation. Look at the different angles to see if they are a linear pair and then see if they are the same. Compare them to see if they add up to 180 degrees and use your mathematical logic. Once you understand the backbone to doing this type of math and what the exceptions are, then you will be able to figur...
How To: Understand the properties of real numbers
In this video, we learn how to understand the properties of real numbers. Natural numbers start at one and continue on and on. Zero is not a natural number. A whole number is just like a natural number, except it includes zero. Integers are the negatives included with whole numbers. There are no decimals included in integers. Integers also include positive numbers and no decimals with them, just whole numbers. Rational numbers are fractions and all decimals that end at a certain point. Once y...
How To: Find the arc length of a function
In this tutorial, we learn how to find the arc length of a function. All you're doing when finding arc length is finding the curve between 'a' and 'b'. Imagine this as a string you're pulling straight to see how long it is going to be. The formula says if your function is in 'y=x' you have to take one times the derivative squared. This is a basic formula that you will use to find the arc length. When you plug in your values to this equation, you will find the answer. Practice with the example...
How To: Graph a parabola
In this tutorial, we learn how to graph a parabola. Quadratic functions are parabolas. To graph these, you will first need to look at the function, which is the set of outputs for a set of inputs. Write this out on a t-chart to find what your 'x' and 'y' values are. Once you find these, you will plug in the coordinates to a graph. After you have written down the coordinates, you can graph your parabola. This is easy to do if you are familiar with quadratic functions and good at math. Just pra...
How To: Put rational expressions in lowest terms
Putting a rational expression in its lowest terms (also called "reduction") is a bit tricky, but it becomes very easy once you know a few tricks.
How To: Complete the square
Quadratic equations are easy to solve when they can be factorized. This video teaches another method of solving a quadratic equation when its not easy to find factors for it.