Question

A number, h, rounded to 1 d.p. is 47.2
Another number, k, rounded to 1 d.p. is 4.8
What are the lower and upper bounds of
h – k?

Answers

  1. The lower and upper bounds of h – k are 42.31 and 42.49 respectively.
    Upper and lower bounds are the maximum and minimum values that a number could have been before it was rounded. They can also be called limits of accuracy.
    The upper and lower bounds can be written using error intervals
    The lowest value of h is 47.15
    The greatest value of h is 47.24
    The greatest value of k is 4.84
    The lowest value of k is 4.75
    Thus upper bound of h -k = 47.24 – 4.75 = 42.49
    Thus lower bound of h -k = 47.15 – 4.84 = 42.31
    Thus the lower and upper bounds of h – k are 42.31 and 42.49 respectively.
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