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Many students think of decimals as exact. More decimal places is even more exact. BUT, this is actually not the case. When the solution to a math problem is irrational, meaning a nonterminating, nonrepeating decimal, and you "round to the nearest tenths or hundredths," you are actually making the solution less precise. The most exact answer is always either a fraction, if possible, or a simplified radical. Here we look at an example of decimal approximations versus simple radical form in the context of solving a quadratic equation.
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The Quadratic Formula
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Problem 2 4,994 viewsSolve using the quadratic formula:
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The Quadratic Formula
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Problem 4 228 views 
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