  ### Home > MC2 > Chapter 4 > Lesson 4.2.2 > Problem4-44

4-44.

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 $\frac{1}{4}$.
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 $100\%$?