  ### Home > CC2 > Chapter 2 > Lesson 2.3.2 > Problem2-129

2-129.

1. If multiplying by $\frac { 1 } { 4 }$ makes a positive number smaller, then what does dividing by $\frac { 1 } { 4 }$ 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.

2. If multiplying by $1$ does not change the value of a number, then what effect does multiplying by $\frac { 2 } { 2 }$ have?  Explain your reasoning.

What is $\frac{2}{2}$ equivalent to?

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

3. If you find $80\%$ of a number, do you expect the answer to be greater or less than the number?  What if you find $120\%$?  Explain your reasoning.

How do $80\%$ and $120\%$ relate to $100\%$? Which value is smaller and which value is greater than $100\%$?