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1. Find the absolute error and the relative error for each number as it rounded to three significant digits. a. 6.239 b. 0.33333 2. Suppose

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1. Find the absolute error and the relative error for each number as it rounded to three significant digits. a. 6.239 b. 0.33333 2. Suppose a computer has a precision of 3 and all numbers are truncated to the three most significant digits. What would be the absolute and relative error for the computation (0.1239 . 10^3) * (0.9 . 10^2)? 3. Suppose that the following two statements are executed. x= 6.239; x = x + x. The machine truncates to 3 significant digits. What is stored in x after each statement? What is the absolute and relative percent error of the value after the last statement? I 4. What will happen in Jave if we evaluate 1e20 + 1 - 1e20? What should the answer be? What is going on? Can this be fixed in this case? Is there a way to fix this in general? 5. In Java, we can store values as integers or floats. Why might you want to declare a variable as an integer? Why might you want to declare a variable as a float? (Hint: Don't over think this one]

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