Question

Convert the decimal 0.8034 to a fraction and classify it as either rational or irrational

Answer 1

Answer:irrational

Explanation:

Answer 2

The required number is
`(4017)/(5000)` and it is a rational number.

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:

`(0.8034)/(1)* (10000)/(10000)`

`(8034)/(10000)`

Or

`(4017)/(5000)`

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
`(4017)/(5000)`.

The numerator and denominator both are integers, thus the number is a rational number.

The required number is
`(4017)/(5000)` and it is a rational number.