Bianca's Integer Post

Dividing integers

Today in class we learned about dividing integers.

First of all it follows the sign rules too.

• If you have the same sign the answer is a positive integer.

• If you have different signs the answer is a negative integer.

There are two ways to write a division statement and their questions in words.
eg.

1.)
12 ÷ 3 = 4

12
 3 = 4
 

• How many groups of 3 are in 12?                   

•   Share 12 equally with 3 groups     

                         

2.)

-12 ÷ -3 = 4

-12
 -3  = 4

The "share" sentence doesn't work with this question because it won't make sense.

• How many groups of -3 are in -12?

3.)
 -12 ÷ 3 = -4

-12
  3   = -4

• Share -12 equally with 3 groups

4.)
12 ÷ -3 = -4


 12
 -3  = -4
NOT:
- How many groups of...
- Share 12 with -3 groups

• because the statements would not make sense.

Instead you use the "Multiplicative Inverse"
-a multiplication question that asks the same question as the division

Division: 12 ÷ -3 = -4
Multiplication: ? x -3 =12      ? = -4

There is no picture for this one.