Question

An addition sentence, a multiplication sentence, and a division sentence are modeled on the number line .-what addition sentence is modeled- what multiplication sentence is modeled-what division sentence is modeled(in the pic it cut off 15 after 10 on the number line)

Answer 1

The addition sentence modeled is:

`(-4)+(-4)+(-4)=-12`

In the number line you can see the three segments of four units one after another.

The multiplication sentence is:

`3\cdot(-4)=-12`

In the picture there are 3 segments of 4 units each one, the negative sign indicates the direction, to the left in this case.

Finally, we can see a division sentence in the number line:

`((-12))/((-4))=3`

In the picture we can see that the lenght of all segments together is (-12) and there are 3 segments of length (-4) that enter into the (-12).