Question

thomas argues that rational 27 divided by rational 3 is rational. mateo argues that the quotient between rational 27 and rational 3 is irrational. prove who is right. justify your anwser

Answer 1

Answer:

Rational

Step-by-step explanation:

A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever). However, one third can be express as 1 divided by 3, and since 1 and 3 are both integers, one third is a rational number.

Answer 2

By definition, we know that a rational number is any number that can be written as the quotient of two whole numbers.

While the irrational numbers are the ones that can't be written as the quotient of two whole numbers.

Only with these definitions, we know that Thomas is correct.

Now let's see it explicitly.

If we take the quotient between 27 and 3 we get:

27/3

So this is a quotient of two whole numbers, 27 and 3.

Thus, this is a rational number.

We can conclude that Thomas is correct.

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