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DEPRECATED Multiplying and dividing rational expressions 4
By Khan Academy
Sal performs the following division and simplifies the result: (2p+6)/(p+5) ��������������������� (10)/(4p+20).
DEPRECATED Multiplying and dividing rational expressions 4
By Khan Academy
Sal performs the following multiplication and simplifies the result: (a^2-4)/(a^2-1) X (a+1)/(a+2).
Learning Algebra | MathHelp.com
By MathHelp.com
This lesson covers the hypotenuse leg and angle angle side theorems. Students learn the third angle theorem, which states that if two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent. Students also learn the following theorems related to congruent triangles. If two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then the triangles are congruent (Angle-Angle-Side or AAS). If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the triangles are congruent (Hypotenuse-Leg or HL). Students are then asked to determine whether given triangles are congruent, and name the postulate or theorem that is used.
Synthetic Division | MathHelp.com
By MathHelp.com
In this example, it’s tempting to divide x squared + 5x – 6 by x + 1 by first factoring x squared + 5x – 6. The factors of -6 that add to positive 5 are +6 and -1, so we have x + 6 times x – 1 over x + 1. Notice, however, that nothing cancels. In this situation, we need a different method of dividing the polynomials, so we use long division. In other words, we rewrite x squared + 5x – 6 divided by x + 1 as x + 1 divided into x squared + 5x – 6. Now, our first step in the long division is to determine how many times x goes into x squared. Since x goes into x squared x times, we write an x above the x squared, just like we do with regular long division. Next, we multiply the x times the x + 1 in the divisor to get x squared + x, and we write the x squared + x underneath the x squared + 5x. Next, we subtract x squared + x from x squared + 5x. And watch out for this step: it’s an area where most of the common mistakes in these types of problems are made. Instead of subtracting, I would change the sign of each term in x squared + x, so we have negative x squared + negative x, then add the columns. So we have x squared + negative x squared, which cancels out, and positive 5x + negative x, which is positive 4x. Next, we bring down the -6, in regular long division. Now, we need to determine how many times x goes into 4x. Since x goes into 4x 4 times, we write a positive 4 in our answer. Next, we multiply positive 4 times x + 1 to get 4x + 4, and we write the 4x + 4 underneath the 4x – 6. Next, we subtract 4x + 4 from 4x – 6. In other words, we change the signs on 4x + 4 to -4x + -4, and we add. 4x + -4x cancels out, and -6 + -4 is -10. And since there are no other numbers to bring down, we have a remainder of -10. Finally, remember from the previous example that we add the remainder over the divisor to the quotient. In other words, we add -10 over x + 1 to x + 4, and we have x + 4 + -10 over x + 1. So x squared + 5x – 6 divided by x + 1 simplifies to x + 4 + -10 over x + 1.
The Steps to Long Division
By TheAnimatedClassroom
Here in this cartoon Whale helps out Clam with an easy way to remember the steps to long division. Remember the first letter of Daddy Mother Sister Brother. Step 1-Divide Step 2-Multiply Step 3-Subtract Step 4-Bring Down.Then repeat the steps. This is a great resource to introduce and/or review division in the classroom and at home.
Lesson 1 - Multiply Whole Numbers By Fractions (5th Grade Math)
By Lumos Learning
This is just a few minutes of a complete course. Get all lessons & more subjects at: http://www.MathTutorDVD.com. In this lesson the student will learn how to multiply a whole number by a fraction and simplify the result.
Learn Simplifying Fractions & Equivalent Fractions - [5-4-13]
By Math and Science
Quality Math And Science Videos that feature step-by-step example problems!
04 - Simplify Fractions to Lowest Terms (Simplifying & Reducing Fractions) - Part 2
By Math and Science
Quality Math And Science Videos that feature step-by-step example problems!
