Damarcus says \(\frac{24}{6}\) only belongs to the set of rational numbers. Explain his error.

This is false. 24/6 is equal to 4, so this is also a natural number (counting), a whole number, an integer, and a real number. Also, it's a terminating decimal if ya wanna get technical

Answered by SecretIndex | 2024-06-10

By definition we have to: ** Rational number** is any number that can be represented as the quotient of two whole numbers or, more precisely, an integer and a positive natural. We then have the following number: 24/6 Rewriting we have: 24/6 = 4 We observe then that we also have a natural number because it belongs to the set: ℕ = {1, 2, 3, 4, ...} Whole number because it belongs to the set: Z = {..., - 3, -2, -1,0, + 1, + 2, + 3, ...} Real number because this set covers all the numbers: Rational, irrational, whole and natural. **Answer: ** The error of Damarcus is not to rewrite the number. Therefore, he did not realize that the number does belong to other sets of numbers

Answered by carlosego | 2024-06-11

Damarcus is mistaken in believing that 6 24 ​ only belongs to the set of rational numbers. Upon simplification, 6 24 ​ equals 4 , which is also a member of the natural, whole, and integer numbers. Thus, it falls under multiple categories of numbers.
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Answered by carlosego | 2024-09-04