To show that the number 332 is rational, we need to express it in the form [tex]\(\frac{a}{b}\)[/tex], where [tex]\(a\)[/tex] and [tex]\(b\)[/tex] are integers with [tex]\(b \neq 0\)[/tex].
Let's consider the number 332:
1. Identify the numerator and the denominator: Any integer can be written as a fraction by dividing it by 1. The number 332 can be expressed in the form of a fraction as:
[tex]\[
332 = \frac{332}{1}
\][/tex]
2. Define [tex]\(a\)[/tex] and [tex]\(b\)[/tex]:
In this fraction [tex]\(\frac{332}{1}\)[/tex]:
[tex]\[
a = 332 \quad \text{and} \quad b = 1
\][/tex]
3. Verify that both [tex]\(a\)[/tex] and [tex]\(b\)[/tex] are integers and that [tex]\(b \neq 0\)[/tex]:
- [tex]\(a = 332\)[/tex] is an integer.
- [tex]\(b = 1\)[/tex] is an integer and [tex]\(b \neq 0\)[/tex].
Hence, we successfully expressed the number 332 as a fraction [tex]\(\frac{a}{b}\)[/tex] where both [tex]\(a\)[/tex] and [tex]\(b\)[/tex] are integers and [tex]\(b \neq 0\)[/tex]. Therefore, 332 is indeed a rational number.
The fraction form is:
[tex]\[
\frac{332}{1}
\][/tex]
