Maria used a number line to find 12 ÷ 4.explain how she can use the number line to model the division.

The division operation can be modeled by creating a number line of length 12 units and a tick mark or line drawn at every 4 unit mark.

The dividend which is 12 can be used as the length of the number line.

The divisor which is 4 is used as the distance between tick marks located on the number line.

The number of portions which will be obtained, which is the number of distinct portions each of 4 units length will be 3.

Therefore, Maria could model the scenario using the description given.

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Maria can plot the points 0 and 12 on the number line, then divide the distance between them into 4 equal parts. The location of the point closest to zero is the result of the division operation. (It will be 3 on the number line.)

We have

First, move to left side to get

Rewrite as to get

The expression on the left equals zero if either of factors is zero thus the equation has 2 solutions

Hope this helps.