### Home > MC2 > Chapter 4 > Lesson 4.2.2 > Problem 4-44

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

.

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?