Yes, [tex]\boxed{0.23}[/tex] is a rational number.
Further explanation:
Real numbers includes all the rational numbers (integers and fraction) and all the irrational numbers.
Rational number is any number which can be expressed in the form of [tex]\frac{p}{q}[/tex] where [tex]p[/tex] and [tex]q[/tex] are integers and [tex]q[/tex] is non-zero and [tex]\frac{p}{q}[/tex] should be in the simplest form.
And those real numbers which are not expressed in the form of rational number are called irrational numbers.
For example: [tex]\pi[/tex],[tex]\sqrt{2}[/tex],[tex]\sqrt{5}[/tex].
Here, the number is [tex]0.23[/tex] and which is in the form of decimal.
Express the number [tex]0.23[/tex] in the form of fraction as follows:
[tex]0.23=\dfrac{23}{100}[/tex]
This implies that [tex]\frac{23}{100}[/tex] is the fraction form of [tex]0.23[/tex].
Therefore, the fraction [tex]\frac{23}{100}[/tex] is in the form of [tex]\frac{p}{q}[/tex] where, [tex]p[/tex] is [tex]23[/tex] and [tex]q[/tex] is [tex]100[/tex].
Also, here [tex]q[/tex] which is [tex]100[/tex] is non-zero.
Thus, [tex]0.23[/tex] can be written in the form of rational number.
Hence, [tex]0.23[/tex] is a rational number.
Learn more
1. Problem on the whole numbers are positive integers https://brainly.com/question/1852063.
2. Problem on the adding and simplifying the numbers https://brainly.com/question/894273
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Rational number
Keywords: Rational numbers, irrational numbers, real numbers, whole numbers, natural numbers, fraction, integers, denominator, numerator, decimal expansion, co-prime integers, multiplicative inverse, additive inverse, division, multiplication, addition, subtraction.
