Topic

{Multiplying and Dividing Rational Expressions}

Team members

Names: Gianne Ortega                                                    

 Overview

Remember a rational number is an expression in which the numerator and the denominator are both integers.  , but n does not equal to zero.

A rational expression is an expression, in which the numerator and the denominator are both polynomials.  where q does not equal zero. 

Restrictions, in mathematical terms is the same thing as a non-permissible number, or a number or variable that causes the expression to be undefined.  An expression cannot be “undefined” because this indicates that the expression is impossible, or an “error ” sign will appear on your calculator

Study Tips,  Methods  and or Advice

Remember how to factor out expressions this is a useful skill in solving rational expressions in general.

Difference in squares                Trinomial squares                    Complex squares          

a-b                                           x2 + 2x + y                             

=(a + b)(a-b)                            =(x + y)2                                  =(5x+2)(x+4)

  = (x-y)

(x+3)(x+5)

Highest common Factor

=3(

1.If possible, remember to reduce, simplify or factor each fraction or rational expression before you multiply or divide, so that terms would cancel out and the right answer is determined efficiently.

2.Next determine the restrictions by setting the denominator to 0 zero.  Restrictions are any variable or number that makes the denominator of the rational expression equal to zero.  If the rational expression were to equal zero, the answer would be undefined or impossible, because no variable or number can be divided by zero.

Sample Questions and complete solutions

Extra Practice Questions and Answers

Self Reflection

Personal Reflection - Gianne

I liked the multiplying and dividing rational expressions because I recently learned it, and it is a fresh concept in my mind.  It is also easier to understand, involving less steps and complexities, compared to adding and subtracting rational expressions.  The most challenging part was using the Microsoft equation editor 3.0 for the first time.  I had a long and hard time typing up equations.  I also learned a lot from this course.  It was more in-depth than the previous grade 10-math course, and it showed connections to life as well as the world of math in general.  Mrs. Demakopoulos, also taught me that hard work and more practice, is the key to success in math, I don’t think anyone is born with good math skills.  Practice and effort is the key to doing well in Math.