DECIDING IF NUMBERS ARE EQUAL OR APPROXIMATELY EQUAL

Many real-life problems involve numbers that are not convenient to work with without calculator assistance.
Many calculator-solved problems give an approximate solution, not an exact solution,
and the purpose of this section is to increase your awareness of the difference between the two.

When two numbers [beautiful math coming... please be patient] $\,x\,$ and $\,y\,$ live at the same place on the number line,
we say “$\,x\,$ equals $\,y\,$” and write “$\,x = y\,$”.
However, when two numbers [beautiful math coming... please be patient] $\,x\,$ and $\,y\,$ are just close to each other, but not equal,
we say that “$\,x\,$ is approximately equal to $\,y\,$”.

Here, you will compare two numbers, and decide if they are equal, or approximately equal.

EXAMPLES:
Question: Compare [beautiful math coming... please be patient] $\,\frac13\,$ and $\,0.333333\,$.
Answer: Answer: approximately equal
Question: Compare [beautiful math coming... please be patient] $\,\frac4{10}\,$ and $\,0.4\,$.
Answer: Answer: equal
Master the ideas from this section
by practicing the exercise at the bottom of this page.

When you're done practicing, move on to:
Rounding Decimals to a Specified Number of Places

 
 

DO NOT USE YOUR CALCULATOR FOR THESE PROBLEMS.

Compare
and
:
EQUAL
APPROXIMATELY EQUAL
    
(an even number, please)