Answer:
300 is a rational number because it can be expressed as the quotient of two integers: 300 ÷ 1.
Step-by-step explanation:
The number [tex]300[/tex] can be written as [tex]\frac{300}{1}[/tex] as a quotient of integers to show that it is rational.
A rational number is a number of the form [tex]\frac{p}{q}[/tex], where [tex]q \ne0[/tex] and [tex]p[/tex] and [tex]q[/tex] must be co-primes.
To write a number in the form of quotient of integer, we write it as [tex]\frac{p}{q}[/tex], where [tex]q \neq 0[/tex].
Here, [tex]300[/tex] can be written as [tex]\frac{300}{1}[/tex] or [tex]\frac{600}{2}[/tex]or [tex]\frac{900}{3}.[/tex]
But we should also take care that [tex]p[/tex] and [tex]q[/tex] must be co-primes.
Co-primes are the pairs of numbers that have only one common factor which is [tex]1[/tex].
So, [tex]300[/tex] can be written as [tex]\frac{300}{1}.[/tex]
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