Finest Terms Search Results

How To: Find the lowest terms of a proper or improper fraction

Need a little instruction on how to find the lowest terms of a proper or improper fraction in basic arithmetic? 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: Solve equations involving square roots

Equations involving square roots are difficult to solve because of the complexity involved in performing operations on the square root terms. But you can follow a series of steps to solve these problems easily. To solve these kind of problems first isolate the square root term on one side of the equation and the non square root terms on the other side of the equation. Now in the next step square both sides of the equation. This gets rid of the square root on the left hand side and the equatio...

How To: Find the greatest common factor, GCF

In this tutorial the instructor shows how to calculate the greatest common factor, or GCF. While computing greatest common factor, you are pulling out the smallest exponents of any common factors along with the factor. Finding the greatest common factor is similar to finding the least common multiple. When given any numbers to find the greatest common factor, the first step in the general procedure to be followed is to break each number down into its factors. You need to break down the number...

How To: Factor the GCF and difference of squares

In this video the instructor shows how to factor the GCF and difference of squares. When you are asked to factorize a number or monomial or a polynomial, the way to do is break it down into individual terms. When asked to factorize a binomial, try to pull out any common terms and factorize the simplified equation. When you are asked to factorize the difference of squares use the general formula which states that the factors of (a*a - b*b) is (a-b) * (a+b). Now substitute the given values in t...

How To: Add & subtract rational expressions

In this video the instructor shows how to add and subtract rational expressions. When you have an addition or subtraction problem of rational expressions, first look and compare the denominator of all the terms. If all of them have the same denominator then the expression can be written as a fraction whose denominator is the original common denominator and whose numerator is the sum of numerators of all the other terms. Simplifying the numerator by adding and subtracting the like terms gives ...

How To: Identify geometric sequences and find the nth term

Have a hard time figuring out what a geometric sequence is? This video will help you to identify different geometric sequences as well as determining its nth term. A geometric sequence is a group of numbers that follow a certain pattern of multiplying a fixed number from one term to another. The tutorial uses 4 different examples of geometric sequences and also shows you how to solve each of these sequences as well. Take some time to watch this video if you are a pre-algebra student, it is a ...

How To: Isolate a variable

If you're struggling a bit with algebra, check out this video to learn how to isolate a variable. Isolating a variable is a matter of separating and simplifying.

How To: Solve algebraic equations with the y = mx+b format

This video shows us how to solve algebraic equations with the y = mx+b format. When talking about solving y=mx+b format, it’s about solving linear equations so that y is on one side and with some terms x on the other side. Here in this equation 'm' is actually the slope of the line and slope= (rise/run) and it is interrupted with the term 'b'. This can be explained by taking an example of the same format. In the example 2x+3y=9, we need to shift the term '2x' to the other side so that the equ...

How To: Plant flowering bulbs with Lowe's

Flowering bulbs require some few common tools before planting such as compost or peat moss, work gloves, fertilizer, garden trowel or bulb planter and the garden bulb of your choice. During the spring season you can plant tender bulbs such as, irises, gladiolus and elephant ears. In terms of fall plantings you can plant bulbs such as tulips, daffodils, hyacinths and crocuses which could give a beautiful bloom in the spring. In general the blooms will last till three to four weeks, bulbs such ...

How To: Express a fraction in lowest terms in basic math

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 write a fraction in its lowest terms.

How To: Reduce fractions to their lowest terms

This video tutorial belongs to the Education category which is going to show you how to reduce fractions to their lowest terms. For doing any operation with fractions like addition, subtraction, multiplication or division, they need to be reduced to their lowest terms. To do this look at the numerator and the denominator and decide what number can divide both of them. Continue dividing till you can no more divide them. Now you get the lowest term of the fraction. For example, 2/4 can be divid...

How To: Write a thesis statement

In this video, we learn how to write a thesis statement. What you really want to say about your topic is what the thesis statement is. It's nothing but your topic and what you want to say, so don't get scared by the term "thesis statement". Practice writing your paper using this saying instead of thinking of the thesis statement term. Usually in school you are given the topic you are going to write about it, so just state that topic and defend your position on it. It will be the same in real ...

How To: Understand equivalent fractions

In this video the instructor teaches about equivalent fractions. When given a problem to determine if two fractions are equivalent fractions the first thing to do is write them in the lowest terms. A fraction is said to be in the lowest terms if the greatest common divisor of both numerator and denominator is one. So cancel the common factors in the numerator and the denominator till you arrive at the lowest form and finally compare them to determine if they are equivalent. An equivalent frac...

How To: Pronounce the alphabet in Finnish

Finnish is an unusual language, which can make it tricky for foreigners to learn. Instead of relying on a book, the Learn Finnish video language-learning tutorial series shows a photograph of a vocabulary term while pronouncing the word in Finnish. This technique allows the student to associate the object itself, rather than the term in their native tongue, will the Finnish word, thus allowing for maximum comprehension and absorption. In this video segment, the alphabet, "aakoset" in Finnish,...

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.

How To: Factor out when doing rational expressions in algebra

This video shows the method to simplify rational expressions. The example used in the video is multiple of 4 and x square plus multiple of 4 and x plus 1 or (4x^2 + 4x + 1)/(2x^3 + 11x^2 + 5x). As the first and last term is a perfect square we get the simplified numerator as (2x + 1)(2x + 1). Next, the denominator is simplified. Taking the common factor out we get x(2x^2 + 11x + 5). Now we factorize 2x^2 + 11x + 5. We get (2x + 1)(x + 5 ). Now, writing the terms in numerator and denominator w...

How To: Solve exponential and logarithmic equations

In this video tutorial the instructor shows how to solve exponential and logarithmic equations. Solving exponential equations can become very difficult if it involves large numbers. To solve these kinds of complex equations you need to get all the numbers to the same base number. The base number raised to some number should give you your original number. Now if you write the numbers as exponents of your base number you can directly equate the exponent part and solve for the missing variable. ...

How To: Factor a trinomial, GCF, then unfoil

In this video the instructor shows how to factor a polynomial. A polynomial having three terms is called as trinomial. Now if you factor it you will obtain two binomials whose product will be the original polynomial. Before factoring a polynomial you need to find out if the polynomial has a GCF. Look out for the common variables in all the three terms and pull them out which is the GCF of the polynomial. This simplifies the original equation to a polynomial which is of lower degree. Now facto...

How To: Graph quadratic equations

In this video, the instructor shows you how to graph quadratic equations. When you have a quadratic equation in terms of x and y, first try to identify the coefficients of the terms. Now use front end of the quadratic formula to find the line of symmetry which is the first half of the vertex using the formula x = -b/2a. This gives the line of symmetry. Next, plot the line using a few points starting at the line of symmetry. Take sample values of x and find the corresponding values of y on eit...

How To: Solve word problems with proportions

In this video the instructor shows how to use proportions to solve fractions. When you have a proportions problem with an unknown term, cross multiply and divide it to get the value of that unknown term. For example if given 7/8 = m/4, cross multiply 7/8 with 4, giving 7/2 which is the value of the unknown variable m. So if two quantities are proportionate then you can equate them as shown in the video and cross multiply to get the value of any unknown variable. Proportions are just fractions...

How To: Factor trinomials in a very simple way

In this video, they demonstrate how to factor a trinomial. A trinomial is a polynomial with a quadratic term in the form, ax^2+bx+c. To factor this polynomial first multiply the a and c term. You must fine two numbers that multiply to a*c and add up to b. Once you have figured out the two numbers you place the two numbers (D and E for example) in the equation (1/a)(ax+D)(ax+E). It takes a bit of practice to be good at deciding what D and E are, but the best way is to make sure that D*E = a*c ...

How To: Solve percent equations

In this tutorial the instructor shows how to solve percent equations. The general form of a percent equations is that a is b% of c. As there can be three kinds of variables a, b, c, the questions involving percent equations can be of three types having one of the three variables unknown. These kind of percent statements can be solved easily by setting up an equation. So, to convert percent statement into a equation replace the unknown term with n, the 'is' term with equals sign and the '%' si...

How To: Solve rational equations

In this video the instructor shows how to solve rational equations. If you have fractions in your equation, then you need to factorize the denominators first. Now compute the least common denominator of all the denominators of the fraction. Next multiply both sides of the equation with the least common denominator. This cancels out all the denominators of all the fractions and you are left with a linear equation. Now simply multiply the remaining terms in the numerator and add common terms to...

How To: Get six pack abs with cardio & strength training

In this video, Yuri Elkaim will teach you how to get six pack abs using cardio and strength training. He breaks down the discussion of cardio vs. strength training for burning fat and building muscle. In the video, Elkaim stresses high-intensity interval training (HIIT), in which he says you will burn more calories, and therefore lose more fat if that is your aim. Furthermore, working at a higher intensity for longer periods of time increases your cardiovascular strength to an even higher deg...

How To: Find the equation of a circle given: center & tangent

In this video, the instructor shows how to find the equation of a circle given its center point and a tangent line to it. To do this, take a graph and plot the given point and the tangent on that graph. Now, from the center of the circle, measure the perpendicular distance to the tangent line. This gives us the radius of the circle. Using the center point and the radius, you can find the equation of the circle using the general circle formula (x-h)*(x-h) + (y-k)*(y-k) = r*r, where (h,k) is th...

How To: Divide rational expressions

In this video the instructor shows how to divide rational expressions. To divide rational expressions follow this simple four step approach. In the fist step change the division to multiplication by flipping the second fraction. Now the original division simplifies to multiplication. In the second step factor the terms of numerators and denominators in the two fractions. In the third step cancel the common terms in the numerator and the denominator. Now finally in the fourth step multiply all...

How To: Prove some random trigonometric identities

This video shows the method to prove some trigonometric identities. This involves the use of algebra and knowledge of basic trigonometric identities. The video demonstrates three examples to illustrate this problem and its solution. The first problem shows a relatively simple problem involving sines and cosines. The video shows some basic algebra steps to simplify the problem and prove the identities. The second example involves a slightly complicated problem involving square of combination o...

How To: Add & subtract fractions

This is a video that teaches how to add and subtract fractions. For fractions that have like denominators, you simply add the numerator and keep the denominator. Next, you reduce the fraction to its lowest term.

How To: Solve an equation by the distributive property

In this simple tutorial the tutor shows how to solve equation by the distributive property. He states that when there is a number which is multiplied to a full equation, we have to multiply each and every term of that equation by that multiplying number. This is called the distributive property as the value is distributed to each and every term inside the equation. He goes on and solves a problem based on this property to give a clear idea of the property. This video shows how to solve equati...