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You are given that a = 6.54 (to 3 significant figures) and b = 123 (to 3 significant figures).
Calculate upper and lower bounds for each of the following, give your answers to 3 significant figures:
(a) a + b
(b) ab
(c) a/b
(d) b - 1/a



Sagot :

MrRoyalidn

The upper and lower bounds for the numbers are illustrations of approximation

How to calculate the upper and lower bounds

The numbers are given as:

a = 6.54 (to 3 significant figures)

b = 123 (to 3 significant figures)

(a) a + b

We have:

a + b = 6.54 + 123

a + b = 129.54

When approximated, the bounds to three significant digits are:

Lower bound = 129

Upper bound = 130.1

(b) ab

We have:

ab = 6.54 * 123

a + b = 804.42

When approximated, the bounds to three significant digits are:

Lower bound = 804

Upper bound = 805

(c) a/b

We have:

a/b = 6.54/123

a/b = 0.0531707317

When approximated, the bounds to three significant digits are:

Lower bound = 0.0531

Upper bound = 0.0532

(d) b - 1/a

We have:

b - 1/a = 123 - 1/6.54

b - 1/a = 122.847094801

When approximated, the bounds to three significant digits are:

Lower bound = 122

Upper bound = 123

Read more about approximation at:

https://brainly.com/question/10171109

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