### Home > CC2 > Chapter 2 > Lesson 2.3.2 > Problem 2-129

Use your reasoning about numbers to answer the following questions.

If multiplying by

makes a positive number smaller, then what does dividing by do to the value of the number? Explain your reasoning. If multiplication and division are opposite operations, what do you think will happen?

If you are still unsure, choose a number and test by multiplying and dividing the number by one fourth. What do you notice? Make sure to explain what happens.

If multiplying by

does not change the value of a number, then what effect does multiplying by have? Explain your reasoning. What is

equivalent to? It does not change the value of a number. Be sure to explain why.

If you find

of a number, do you expect the answer to be greater or less than the number? What if you find ? Explain your reasoning. How do

and relate to ? Which value is smaller and which value is greater than ?