Explain how u would use the integer tiles to find the quotient of -15 and 3

Integers are expressions without decimals.

The result of the quotient of -15 and 3 is: -5

The expression is given as:

To do this using integer tiles, we start by isolating the negative sign

Then divide 15 by 3 (see attachment for illustration of the division)

From the attached figure, we have:

Substitute 5 for 15/3 in

So, we have:

Remove bracket

Hence, the result of the expression is: -5

Read more about integer quotients at:

link

(-15)/3 = -5  

Step-by-step explanation:

(-15)/3

Assume that your positive tiles are yellow, and your negative tiles are red.

The question is asking, "if you take 15 red tiles and split them into three equal groups, how many will you have in each group?"

How can you model the first value of -15?  With 15 red tiles.

Let’s model how to divide the tiles into three equal groups by moving one tile at a time into three separate groups until all 15 tiles have been moved.

Step 1.

Start with 15 red tiles, as in the first picture.

Step 2.

Start by moving tiles one at a time to begin creating three new groups.

The middle picture shows the situation after you have moved the first three tiles.

Step 3.  

Continue moving tiles one at a time from the original group and stacking them evenly in the three new groups until you have no more tiles to move.  

The third picture shows the situation when you have finished.

How many red tiles are in each group?  There are five.

Is the answer positive or negative?  The answer is negative, because there are five red negative tiles in each group.

Conclusion? (-15)/3 = -5