Respuesta :
Answer:
We can classify the result of operation on real number into rational and irrational numbers.
Further details:
We already know that all counting numbers are whole numbers, all whole numbers are integers, and all integers are rational numbers. Irrational numbers are a distinct category of their own. When we put together the rational numbers and the irrational numbers, we get the set of real numbers.
Rational numbers:
Any quantity that can be written as a fraction a/b where a and b are integers and b is not equal to zero are called rational numbers. These comprise all the integers, any finite decimals, or repeating decimals (decimals that have a pattern).
Irrational numbers:
Any number that can't be written as a/b are measured irrationals. They can be printed in decimal, but they go on constantly without any pattern (And there is a way to prove this).
All of the rational numbers and irrational numbers are measured real numbers. It must be notice here that all these numbers lie on a straight number and any number that lie outside the number line is not real number. For instance, we can extend the 1-D line to 2-D plane with complex numbers on it.
Answer details:
Subject: Mathematics
Level: High school
Keywords:
• Real numbers
• Classification of real number
• Rational number
• Irrational numbers
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The results will be classified as rational or Irrational numbers.
This question will have to be explained by understanding real numbers.
Real numbers are basically defined as any type of number in life that is not a complex number. This means they could be fractions, decimals, positive numbers, negative numbers e.t.c
Now, in broad terms, under real numbers, we have two major types which are:
Rational Numbers and Irrational numbers.
Now, rational numbers include; integers, Natural numbers, whole numbers, fractions, terminating decimals, repetitive decimals.
While Irrational numbers are basically any number that cannot be expressed as a fraction of integers and as well their decimals are usually non-repeating and non-terminating decimals.
Thus, any operation on real numbers, will lead us to an answer that falls under any of it's major branches which are rational and Irrational numbers.
Read more at; brainly.com/question/4853862
