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Absolute and Relative Errors : Three-Digit Chopping and Rounding Arithmetic

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Please help with the following problems. Provide step by step calculations.
Compute the absolute error and the relative error in approximations of p by p*.
a) p = pi , p* = 22/7

Perform the the following computations i) exactly, ii) using three-digit chopping arithmetic, iii) using three digit rounding arithmetic.
iv) Compute the relative errors in parts ii) and iii).
(1/3 - 3/11) + 3/20

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Absolute and Relative Errors and Three-Digit Chopping and Rounding Arithmetic are investigated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question. Step by step calculations are provided.

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Problem #1 Compute the absolute error and the relative error in approximations of p by p*.
a) p = pi , p* = 22/7

When we talk about the absolute error and relative error, we need to define how accurate we want. In this problem, p=pi, p*=22/7. Let us use the 4-digit rounding algorithm.
Then, p=pi=3.14159=3.1416 with error <=0.00001. ...

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