Answers:
4.27 is rational
0.232342345... is irrational
-13/1 is rational
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Explanations:
The fact that 4.27 is a terminating decimal means that we have a rational number. All terminating decimals can be written in a fraction of two integers (positive or negative whole numbers). The word "terminate" means "stop", so the decimal values stop at some point. Note: 4.27 = 427/100 is one way to show that 4.27 is rational
The second value 0.232342345... doesn't seem to have a clear repeating pattern. It's impossible to know what the next value will be. So because of this, the number is irrational. We cannot write it as a fraction of two whole numbers. Other examples of irrational numbers are things like pi = 3.1415... or sqrt(2) = 1.414...
The value -13/1 is rational imply because it is a fraction or ratio of two whole numbers -13 and 1. All fractions like 1/2 or 2/3 or 5/7 are rational numbers. All integers are rational. Note: the denominator can never be zero.
Here, 4.27 and -13/1 is a rational numbers and 0.232342345 is an irrational number.
Given that,
It is to be determined that numbers 4.27, 0.232345, and -13/1 is rational or Irrational
In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.
An irrational number is a type of real number which cannot be represented as a simple fraction or the values that have face value are irrational numbers. Example: √2, √3, and π are all irrational.
From the above definition the numbers 4.27, 0.232345, and -13/1 can be distinguished between rational or Irrational.
Thus, 4.27 and -13/1 is a rational number and 0.232342345 is an irrational number.
Learn more about rational numbers here:
https://brainly.com/question/17450097
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