Respuesta :
A rational number is just a ratio of two integers. We can actually say something stronger: all whole numbers are rational numbers. This is simply because all whole numbers are divisible by 1, thus making them a ratio of the two integers (call the whole number x) x and 1, and can be represented by the fraction:
[tex] \frac{x}{1} [/tex]. As a consequence you can have things like:
[tex] \frac{2x}{2}, \frac{3x}{3}, \frac{9x}{9}, \frac{1001x}{1001} [/tex]
So, let x = 3 for every single fraction I've mentioned to get:
[tex] \frac{3}{1}=3 \text{ issa whole number}\\
\frac{6}{2}=3 \text{ issa whole number} \\
\frac{9}{3} = 3 \text{ issa whole number}\\
\frac{27}{3} = 3 \text{ issa whole number}\\
\frac{3003}{1001}=3 \text{ issa whole number} [/tex]
So It is false to say that a rational number is never a whole number. A true statement would be: "A rational number is not necessarily a whole number."
A rational number is never a whole number and is a False statement.
What is a rational number?
A rational number is a number that can be written in form of p/q where q should not equal zero.
A rational number can be written in a fraction while an irrational number cannot.
For example, 5 is a rational number because it can be written as 5/1.
For example, √2, and √3 are irrational numbers because they cannot be written as p/q where p and q both should be integers.
In another word, irrational numbers are those numbers that can not terminate.
Whole numbers can be written as p/q where q will be 1
For example, 4 is a whole number it can be written as 4/1 hence it will be a rational number.
All whole numbers will be rational numbers so the statement is completely False.
To learn more about rational numbers,
https://brainly.com/question/17450097
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