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What is the set of numbers to which #8/3# belong?

Answer 1

#8/3# is a real, rational number

Here's the categories:

I. Real : Includes all numbers except square roots of negative numbers and fractions with #0# in their denominator

A. Rational : a real number expressible as a ratio of
whole numbers, or as a decimal have a continuous repeating
trend, like #0.3333333#, which is the case in this situation

a. Integers : a real rational number that is not a fraction and can be negative

i. Whole : a real rational integer that is not negative but can be #0#
ii. Natural Numbers : a real rational whole integer that is not #0#
B. Irrational: have irregular decimal expansions
II. Imaginary: usually caused by the square root of a negative number

Here's a Venn diagram showing relationship between the different types of real numbers.

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Answer 2

Roman Alvarez

The set of numbers to which ( \frac{8}{3} ) belongs is the set of rational numbers.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.