Determine if 0.59136363636363636… is rational or irrational and give a reason for your answer.
Need answer ASAP
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The given recurring decimal 0.59136363636 is a rationalnumber.
Given that, To determine whether the given recurring decimal value is rational or irrational.
What is a rational number?
Rational numbers are numbers that can be structured in the form of the fraction of integers. Eg- 5/6, 2/3 etc.
Here, The given recurring decimal = 0.591363636 From the above definition, A rational number is a number that does have a repeating value after a certain value beyond the decimal point, unlike an irrational number that has repetition just after the decimal point. So, the given number 0.59136363636 = 0.591 + 0.000363636 It is a rational number because it has repetition after 591 of 36 frequently.
Thus, the given recurringdecimal 0.59136363636 is a rationalnumber.
Based on the given number which is 0.59136363636363636, we can infer that this is a rational number because it is repeating.
How to know a rational number?
A rational number is a number that when the denominator divides the numerator, the result is a decimal that is either terminating, or repeating. This means that the decimal will either stop at some point, or will keep repeating the same numbers.
The number, 0. 59136363636363636, is a rational number because it is a repeating decimal.
The part that is repeating is “63636” so this is a rational number.
To determine whether the given recurring decimal value is rational or irrational.
What is a rational number?
The given recurring decimal = 0.591363636
From the above definition,
A rational number is a number that does have a repeating value after a certain value beyond the decimal point, unlike an irrational number that has repetition just after the decimal point.
So, the given number 0.59136363636 = 0.591 + 0.000363636
It is a rational number because it has repetition after 591 of 36 frequently.
How to know a rational number?