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Distinguishing Exact and Approximate Square Roots
Imagine you are a quality control inspector documenting the dimensions of square components for a manufacturing report. When using a calculator to find the square root of a number, explain the fundamental difference in how the calculator handles 'perfect squares' versus 'non-perfect squares.' Additionally, describe the specific mathematical step you can take to prove that a calculator's result for a non-perfect square is an approximation rather than an exact value.
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Distinguishing Exact and Approximate Square Roots
Approximating Higher Roots with a Calculator
A calculator display of is an exact value.
What does mean in ?
Why is an approximation?
Order the steps to approximate to two decimal places and check it.
A calculator shows . How can you check that this value is an approximation?
Match each square root with its calculator result.
Classify each calculator result as exact or approximate. Then explain why the second result is approximate.
A calculator shows . What term describes 3.31662479?
A calculator gives an approximation for because is not a _____.