Can decimals such as 0.23 and 0.9 be rational numbers?

May 2, 2018

Yes, $0.23$ and $0.9$ are rational numbers.

$0.23 = \frac{23}{100}$

$0.9 = \frac{9}{10}$

Explanation:

Since both $0.23$ and $0.9$ fulfills:

"In mathematics, a rational number is any number that can be expressed as the quotient or fraction $\frac{p}{q}$ of two integers, a numerator p and a non-zero denominator q."

From source:
Rosen, Kenneth (2007). Discrete Mathematics and its Applications (6th ed.). New York, NY: McGraw-Hill. pp. 105, 158–160. ISBN 978-0-07-288008-3