Answer:
The required number is [tex]\frac{4017}{5000}[/tex] and it is a rational number.
Step-by-step explanation:
Consider the provided number 0.8034
For each number after the decimal point, multiply numerator and denominator by 10.
There are 4 digits after the decimal point in the number 0.8034
So multiply numerator and denominator by 10000 as shown:
[tex]\frac{0.8034}{1}\times \frac{10000}{10000}[/tex]
[tex]\frac{8034}{10000}[/tex]
Or
[tex]\frac{4017}{5000}[/tex]
Rational number: A number is said to be rational, if it is in the form of p/q. Where p and q are integer and denominator is not equal to 0.
Irrational number: A number is irrational if it cannot be expressed be expressed by dividing two integers. The decimal expansion of Irrational numbers are neither terminate nor periodic.
Now consider the number [tex]\frac{4017}{5000}[/tex].
The numerator and denominator both are integers, thus the number is a rational number.
The required number is [tex]\frac{4017}{5000}[/tex] and it is a rational number.
