Concept explainers
Root repeater. Find a calculator with a square root key. Start with 0.999 and press the square root key over and over. What happens to the values? Do you eventually get 1? Do the experiment again. This time keep track of how many times you press the square root key to get an answer of 1. Now try starting with 0.9999. How many times did you need to press the square root key to get 1?
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The Heart of Mathematics: An Invitation to Effective Thinking
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