High School

Which set includes rational numbers but not natural numbers?

A. -2.118
B. 57
C. 0, -5, -4, 4, 5
D. 3.5, 18, 4, 46.5

Answer :

Final answer:

Set A, -2.118, includes a rational number but does not include any natural numbers. This is because rational numbers can be any number expressed as a ratio of two integers, and natural numbers are positive integers.

Explanation:

In mathematics, a rational number is any number that can be expressed as a ratio of two integers. Natural numbers, on the other hand, are the set of all positive integers. Looking at the options provided, option A. -2.118 is the set that includes a rational number but does not include any natural numbers. This is because -2.118 is a rational number (since it can be expressed as a ratio), but it is not a natural number (since natural numbers are always positive).

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