MATH 156
posted by CHAYO on .
What models can be used to help explain the concepts of addition and subtraction of rational numbers? What are the benefits to using such a model? What limitations does the model have? Create an addition or subtraction problem and demonstrate how the model might work.

Cutting a pie into equal slices so you can add or subtract them.
EXAMPLE: 1/4 + 1/2 = 3/4. To get the half slice to equal the size of the quarter slice, you need to cut it in half. Then the half slice becomes two quarter slices. When you add all of the quarter slices together, you have three of them: the original quarter slice, plus two more from cutting the half slice in half to get two more quarter slices that you could add with the original to get a total of 3 quarters, or 3/4. 
(and for whole numbers, you can think of them as representing entire pies, so when you add or subtract them, no slicing is necessary.)

CAN YOU PLEASE EXPLAIN EACH QUESTION I'M A LITTLE CONFUSED I'M STUDYING FOR MY MID TERM THAT i'M GOING TO HAVE IN TWO WEEKS. THANKS

Why don't you explain what you think it means, and let us critique that? We have no idea what you don't understand, the questions to me are straightforward.

Oh I get it now thanks I was a little confused.

This is not for a mid term, this is a discussion question for a class, I'm taking it too!

What models can be used to help explain the concepts of addition and subtraction of rational numbers? What are the benefits to using such a model? What limitations does the model have? Create an addition or subtraction problem and demonstrate how the model might work.