1. a student claims that division makes things smaller so that five divided by one-half cannot be 10, because ten is greater than 5. Explain how to help this student using models and examples.

2. can a/b and a plus b / b even form a proportion? why or why not

3. a student claims that 0.304 and 0.34 are equal, because 0 is nothing. how do you respond to help this student

4. use models and examples to thoroughly explain how to multiply decimal numbers

5. write a proof explaining why 1 is equal to 0.9 repeating

6. a student claims that if prices at a store can increase to 120% then a candidate should be able to get 120% of the votes in the election. thoroughly explain the meaning of 120% in each of these cases.