Math: Page 6

In this tutorial, we learn how to find the formula of a given sequence. First, you need to decide what you're starting with. Start with a1, then continue on with a2, a3, and a4. Eventually, you will have an "An". You will have an "n" in your numerator and the denominator will start between the numbers of your fractions. Look to see if that works, then you have to see where the signs alternate on the fractions. Write in any negatives that you have, then figure your power out. Once you follow...

In this video, we learn how to identify number types. You will need to figure out what numbers from a list is a rational numbers in your math equations. A natural number is a counting number (1,2,3). A whole number is a natural number and zero (0,1,2,3). An integer is a whole number and a negative whole (-2,-1,0,1,2). A rational number is any number that can be expressed as a ration of integers. An irrational number is any number that's not rational and non-perfect. Once you understand these...

In this video, we learn how to rationalize the denominator. This says that if there is a square root or any type of root, you need to get rid of them. Look at the examples given in the video to get an idea of what types of roots you will be removing and how to do it. To get rid of a square root, all you really have to do is to multiply the top and bottom by that same square root. Do this on all of your problems with a square root and they will be gone in just a matter of minutes!

With this free video math lesson, you'll learn how to do multiply any number by zero. With mathematics, as with anything else, not everyone progresses at the same rate. Basic math is no exception. Happily, in the age of Internet video tutorials, this isn't a problem. Those who progress quickly can go beyond what's being taught them and those who are struggling likewise have all the time in the world to catch up.

In this free video chemistry lesson from Salman Khan, we learn how to work with carboxylic acid derivatives. 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.

With this free video math lesson, you'll learn how to do long division with double and triple-digit numbers. With mathematics, as with anything else, not everyone progresses at the same rate. Basic math is no exception. Happily, in the age of Internet video tutorials, this isn't a problem. Those who progress quickly can go beyond what's being taught them and those who are struggling likewise have all the time in the world to catch up.

A rough definition of standard deviation is that it is a measure of expressing the observed variations about the average in statistical data i.e. by how much do the observed values vary from the mean. This video continues from the previous solved example and demonstrates the mathematical interpretation of the standard deviation that was calculated. We begin with stating the mean and standard deviation values and then calculating the upper and lower bounds of the data based on the standard...

We know the method for answering the question "What is the x percent of y" but, what about the answer to the following question "The x percent discounted price of an article is y. Find the original price." This is a reverse percentage problem that can be solved using the method shown in this video. This video contains three reverse percentage problems. The first two problems are essentially of the same type as explained above. A simple and easy to understand method of finding the original price...

In this video, we learn how to increase or decrease by a percentage. First, to increase you will need to find what the percent of the number is. To do this, you will find 10%, which should be very easy. As soon as you've found this, you can add or subtract to find the percent you need. Then, add this onto the original number and you'll know the percentage. To decrease the percentage, you will do the same type of equation. Except, you will need to subtract as you go to finish the problem. When...

In this video, we learn how to evaluate functions. When evaluating functions, you substitute in the variable to the input given. Once you do this, you will rewrite the equation filing in the appropriate spots with the numbers that you are given. After this, you will evaluate the equation with the proper steps in math. Once you have figured out the problem, you can do this in reverse to make sure you have the correct answer. This is a very easy process and it doesn't take that long. Just make...

In this video, we learn how to calculate compound interest. Start with your example of investing $2000 at 3% interest over four years. Now, write down how much you have at the start of year one. To find the percent of this you will need to simply do the amount divided by one hundred and times it by three. Then, you will find the number for the amount of interest you had for that year. Continue to do this for each year and the amount of money you will increase each year. Do this until you reach...

With mathematics, as with anything else, not everyone progresses at the same rate. Geometry is no exception. Happily, in the age of Internet video tutorials, this isn't a problem. Those who progress quickly can go beyond what's being taught them and those who are struggling likewise have all the time in the world to catch up. With this free video math lesson, you'll learn how to calculate the volume of any cube.

With mathematics, as with anything else, not everyone progresses at the same rate. Geometry is no exception. Happily, in the age of Internet video tutorials, this isn't a problem. Those who progress quickly can go beyond what's being taught them and those who are struggling likewise have all the time in the world to catch up. With this free video math lesson, you'll learn how to calculate the volume of a rectangular solid.

With mathematics, as with anything else, not everyone progresses at the same rate. Geometry is no exception. Happily, in the age of Internet video tutorials, this isn't a problem. Those who progress quickly can go beyond what's being taught them and those who are struggling likewise have all the time in the world to catch up. With this free video math lesson, you'll learn how to calculate the volume of a prism.

In this tutorial, we learn how to read a school box ruler. A ruler will be divided into inches, each inch will be divided in half. From there, it will be in quarters, then eighths, then sixteenths. Once you understand how the inches get divided up into halves, you will be able to read the ruler better. Start off by counting the small lines that you see on the ruler to get an idea of where the eight, quarter, and half inches are located at. After practicing this, you will be able to read a ruler...

In this tutorial, we learn how to know the ruler. An inch ruler will have 12 inches on it. Each mark will be right next to these. Half of these marks will be a half an inch and the half of those with be an eighth. Half of this will be a sixteenth. On the other side of the ruler, you will see the metric system of the ruler, which is not used in the United States. It has centimeters listed on it instead of inches. To use the ruler, you will need to look at the mark it is on, then count the small...

In this video, we learn how to find the determinant & area of a parallelogram. The determinant of a 2x2 matrix is equal to the area of the parallelogram defined by the column vectors of the matrix. Graph both of the equations that you are given on the vertical and horizontal axis. After you have all of the coordinates in place, you will be able to plug in the correct numbers to figure out what the answer to the equation in. This is more advanced math, so if you have not done it before, you...

In this tutorial, we learn how to find the area of a circle. The line from the middle to the edge of the circle is called the radius. Find what this is in your equation, then multiply (3.14 X radius x radius). This will always work out the area of a circle for you. So, do this equation with your calculator or by hand, then you will have the correct answer for the area. Make sure to add the units squared after you get the answer. If you are given the diameter (line all the way across), you would...

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 the...

This video tutorial is in the Education category which will show you how to subtract basic fractions in simple mathematics. You can do basic subtraction of fractions if the denominators are the same. If they are not, then find the lowest common multiple of the denominators and convert the denominators to their lowest common multiple. For example, to subtract 1/2 from 3/4 find the common multiple of 2 and 4, which is 4. So, the problem 3/4 - 1/2 can now be written as 3/4 - 2/4. Since, the...

This is a video tutorial in the Education category where you are going to learn how to convert top heavy fractions to mixed numbers. Top heavy fractions are fractions with numerators greater than denominators. Mixed numbers are combination of whole numbers and fractions. To convert 12/5, find out how many 5s are in 12. The answer is 2 and after you remove two 5s from 12, you are left with 2. So, 12/5 is equal to 2 2/5. Similarly, in 10/3, you have three 3s in 10 and you are left with 1. So,...

In this tutorial, we learn how to change decimals to fractions. First, you will take your decimal and put it over 1. Any number divided by 1 will be that number that you started with. To get rid of the decimal, you can multiply it by hand and moving the numbers to the left. To keep the number the same, you also have to multiply the bottom of the fraction by the same number. Now, you can just simplify the fraction and you will end up with the correct number! This is easy to do and is a great...

In this video we learn how to convert recurring decimals to fractions. Start off by writing out the decimal with the dot next to it to show that it's recurring. This means that the number goes on forever and doesn't stop. To convert this to a fraction, write down the number as the numerator. On the bottom you will put the number 9 always. Now, you can divide these two numbers with each other using a calculator. Once you do this, you will get the correct answer. Once you divide it out, you will...

In this video we learn how to understand the Rule of Vertically Opposite Angles. This says that when two straight lines cross it produces vertically crossed lines that must have congruent angles. Because the lines are straight this has to happen. Remembering the rule "supplementary" you will be able to calculate the angle of A and B in the equation. Prove what each of the angles are using the different rules and then move onto the other two angles. Angle C can be figured out by knowing that...

In this tutorial, we learn how to change fractions to decimals. Once you learn how to do this, it can help you learn more levels of math. Start out with easy problems and work your way up to more difficult ones. First, try rewriting the equation. Take your top numerator and divide it out by hand by your denominator. After you have done the long math for this, the number that is on the top of the division sign will be your answer. You will need to have a good sense of what numbers add into what...

In this video, we learn how to divide & multiply fractions with numerous examples. If you have a normal fraction, you will just multiply across the equation to multiply it. To divide the fraction, you will multiply it by the flip of the fraction. Once you do this, you will have both of these equations figured out. Make sure you reduce the fraction as much as possible by seeing what number goes into both the denominator and the numerator. After you do this, you will have the best possible answer...

In this video, we learn how to add and subtract fractions with numerical examples. First, write down an example on a piece of paper to add two fractions together. To do this, you will write out the denominator in the common form and then add the numerators together. If you don't have common denominators you will have to find them. When subtracting, it's basically going to be the same process. Go through the same steps to figure out what the answer will be. Use the basic rules of math to get...

In this video, we learn how to understand and determine equivalent fractions. If you have an equation with an equivalent fraction, you will first multiply the first numerator by the second denominator. Then, you will divide this answer by the denominator of the first fraction. After you do this, it will give you the correct answer. You can also do the reverse multiplication for this to check your answer and make sure you are correct. You can get an answer no matter what the numbers in the...

In this video, we learn how to find the surface area of a cube. Finding the surface area of a cube is something everyone will have to do in math. The easy formula to figure out this is: surface area= side x side x 6. Your first step to figuring out the problem is to find the length of a side. Once you have found this, you will substitute and evaluate the numbers in the equation. After this, write the units in for the problem. You will then come up with the answer of the equation with the unit...

In this tutorial, we learn how to divide numbers with exponents. The quotient rule states that we can divide two powers with the same base by subtracting the exponents. With the same base, you can subtract the exponents to get something that would be the answer. For example, if you have 6(to the fourth) divided by 6(to the second), this would come to equal 6(to 4-2). This would break down to equal 6(to the second power). Once you have this, you will be able to do the math for this and figure...

In this tutorial, we learn how to understand the properties of a rectangle. A rectangle has four interior angles that add up to 360 degrees. All of the angles have to be exactly 90 degrees in a perfect rectangle. Two opposite sides have to be congruent and parallel. The other opposite sides also have to be congruent and parallel. The diagonals of the rectangle are not perpendicular but they are congruent and they intersect at the mid points. Diagonals are not perpendicular, but they are...

In this tutorial, we learn how to understand fraction multiplication by drawing. Start out by drawing a square on a piece of paper, leaving space around it. Next, cut this into vertical thirds (your equation is 1/3 x 1/2). After this, shade one of the thirds in the square. Use the side of your pencil to shade in the third. Then, cut the square into horizontal halves. The square will now be in equal shapes that are also called sixths. After this, shadow one of the halves with a different color...

In this tutorial, we learn how to understand special quadrilaterals. A quadrilateral is a shape with four sides. Three figures of these are: kites, parallelograms, and trapezoids. Two types of parallelograms are the rhombus and the rectangle. Rectangles have four right angles. A square is also a parallelogram, which has four right angles and two congruent sides. A square is always a rhombus a parallelogram is always a quadrilateral and a kite is always a quadrilateral. The parallelogram is...

In this video, we learn how to determine if a point lies on a line in standard form. In order to do this, you will need to substitute the X and Y value with the ordered pair that is given. The X value is the first number and the Y value is the second number. Re-write your equation, substituting in the numbers to the appropriate spots. Now, simplify the equation by doing multiplication with the negatives and positives (if given). When you get through the equation, you will end up with the...

In this video, we learn how to borrow and regroup in math. First, look at the top numbers of the subtraction equation. Look to see if it's smaller than the bottom number. If not, look at the numbers to the left of each one on the top to see if you can borrow from them. If you can, then you will have to lower than number by one each time you are borrowing a number. Once you do this, you will be able to subtract the number at the top from the number at the bottom, even when the individual...

In this tutorial, we learn how to multiply & divide fractions & mixed numbers. When multiplying and dividing fractions you don't need a common number, you just multiply straight across. When dividing, you simply flip the second fraction over and multiply straight across like normal. When multiplying a whole number and mixed number, simply put the whole number over one. Then, convert the mixed number into an improper fraction. Then, multiply the mixed number with the numerator and add in the...

In this tutorial, we learn how to find the area of a circle. First, you will need to know the formula for finding the area of a circle, which is Area=Pi(r)squared. Now, find the radius of the circle in question. After this, fill in the radius to the equation and start to do the math. The area will equal what the radius is, times pie and squared. After you do the math for this, you will have found the area of the entire circle. Make sure you label the number with units, or else your answer will...

In this tutorial, we learn how to multiply fractions. First, you must know that the number on the top is called a numerator and the number on the bottom is the denominator. First, write out your equation with the fractions listed horizontally next to each other. After this, multiply the numbers straight across. The numerator will multiply with the numerator and same for the denominator. After this, when you get the final fraction you will need to reduce this further if you can. If you end up...

In this video, we learn how to solve a single-step equation using multiplication. For the first step, get rid of any number surrounding the variable. To do this, you will need to multiply the numbers around it by their opposite to make them equal zero. Once you have done this, you will need to repeat the process on the other side of the equal sign. Just do the same exact thing you did in the first step, then you will be able to easily solve the problem at hand. You can check your answer by...