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Is 0.8394756 a member of the set?

a) Rational Numbers
b) Irrational Numbers
c) Natural Numbers
d) Integers
e) Whole Numbers

1 Answer

4 votes

Final answer:

The number 0.8394756 is a rational number as it can be expressed as a fraction of two integers and does not fit the definition of irrational numbers, natural numbers, integers, or whole numbers.

Step-by-step explanation:

The number 0.8394756 is a rational number because it can be expressed as a fraction of two integers. A decimal which terminates or has a repeating pattern after a certain point is considered rational. It is not an irrational number because irrational numbers cannot be expressed as a simple fraction.

It is also not a natural number, an integer, or a whole number because those sets only include positive whole numbers, (natural includes all positive integers, whole includes zero), and integers include negative numbers as well as whole numbers.

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