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Math A

Irrational Approximations

 

An irrational number is a non-repeating, non-terminating decimal.  It’s decimal representation, is an approximation of its value.  Irrational numbers are rounded when written in decimal form.  

 

We can take advantage of the square root key
on a calculator to find approximations for some irrational numbers.  

 

 Example:    = 2.236067977……..  Since it is impossible to write out the entire decimal (since it never ends) we may approximate to be 2.2 or 2.24 or 2.236, etc., depending upon the rounding directions given in the problem. 

If no specific rounding directions are given in a problem, work with the full calculator display, or work with the number in its original form (in this example, work with .) 

 

You should always work with the "full" value of a number (such as ), or the full calculator display of the number, in a multi-step problem, saving the final rounding for the last step.   Don't round too soon!

**** If using a calculator, work with the full calculator entries until you are ready to round your final answer. 

 

 


Lloyd