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

User Adam Reed
by
6.9k points

2 Answers

3 votes

Answer:irrational


Explanation:


User Karoline
by
7.2k points
2 votes

Answer:

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.

User FrVaBe
by
7.0k points