e q u a t i o n s

 

Equations 5

Equations with Division of Positive and Negative Numbers

 

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RECAP: On the previous pages we learned about equations containing multiplication and numbers behind one mystery door. On this page we will explore equations with division and one mystery door.

Let's consider an example containing division with only positive numbers. One easy of representing a division problem is to write the dividend as the numerator of a fraction and the divisor as the denominator. Also remember that any whole number can be written as a fraction by

16
blank door

 

=

4
1

The first step is to multiply both sides by the mystery door - strange as that sounds.

blank door
1

*

16
blank door

 

=

blank door
1

*

4
1

By cross canceling the mystery doors on the left side, one has the following equation, Sixteen equals mystery door times four. Then you must divide both sides by four. This leaves you with sixteen divided by four which is four on one side and mystery door times one on the other side. Your final answer is four, the number behind the mystery door.

 

16/
4

 

=

blank door

*

4/
4

 

4

=

4 magic door

The same process is true with positive and negative numbers. Mystery door divided by negative three equals negative two. Both sides must be multiplied by negative three. The three on the left side of the equation cancels out the three that is in the denominator of the mystery door over negative three. On the right side, negative two times three equals negative six.

4 magic door
-3

=

-2

 

-3
1

4 magic door
-3

=

-2 * -3

 

4 magic door

=

6

By looking back to the original equation we see that:

-6/3 = -2

 

Algebra Main Page Positive & Negative Numbers Addition & Subtraction of Positive & Negative Numbers Multiplication of Positive & Negative Numbers Division of Positive & Negative Numbers Order of Operations
Exponents Scientific Notation Equations 1 Equations 2 Equations 3

Equations 4

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