Question

9. Identify each as rational or irrational. Write rational or irrational for each letter on your quiz. (5 points)

ℼ
8.824
27
1.4382768….
9

Answer 1

For this case we have:

By definition we have that a rational number is called any number that can be represented as a fraction, that is, the quotient of two integers with a denominator other than zero. Also the finite decimals and the periodic decimals are rational.

So:

27 and 9 are rational numbers.

`\frac {81} {3} = 27\\\frac {27} {3} = 9`

It is noted that they can be represented with fractions.

In addition, the number 8,824 is a finite decimal, so it is also a rational number.

On the other hand, an irrational number is one that cannot be represented by a fraction, its decimal expression is neither exact nor periodic.

Then,
`\pi` and 1.4382768…. They are irrational.

Answer:

Rational: 8,824; 27; 9

Irrational:
`\pi`; 1.4382768…