FINDING RECIPROCALS

LESSON READ-THROUGH
by Dr. Carol JVF Burns (website creator)
Follow along with the highlighted text while you listen!
 

Here, you will practice finding reciprocals (multiplicative inverses) of whole numbers and fractions.

For $\,x\ne 0\,$, the reciprocal of $\,x\,$ is $\displaystyle\,\frac{1}{x}\,$.

In particular, the reciprocal of $\displaystyle\,\,\frac{a}{b}\,\,$ is $\displaystyle\,\,\frac{b}{a}\,\,$.

The number $\,0\,$ does not have a reciprocal, since division by zero is not allowed.
For all other numbers, a number multiplied by its reciprocal equals $\,1\,$:   $x\cdot \frac1x = 1$

EXAMPLES:
The reciprocal of $\,\,5\,\,$ is $\displaystyle\,\,\frac{1}{5}\,\,$.
The reciprocal of $\displaystyle\,\,\frac{2}{3}\,\,$ is $\displaystyle\,\,\frac{3}{2}\,\,$.
The reciprocal of $\quad-6\quad$ is $\quad\displaystyle-\frac{1}{6}\quad$.
The reciprocal of $\displaystyle\quad-\frac{5}{7}\quad$ is $\displaystyle\quad-\frac{7}{5}\quad$.
The reciprocal of $\,0\,$ is not defined.
Zero is the only real number which does not have a reciprocal.
Master the ideas from this section
by practicing the exercise at the bottom of this page.


When you're done practicing, move on to:
Determining if a Product is Positive or Negative

 
 

Type in   nd   (uppercase or lowercase) if the reciprocal is not defined.
Type fractions using a diagonal slash:   for example,  1/3 .

Find the reciprocal:
    
(MAX is 10; there are 10 different problem types.)