Which best explains what determines whether a number is irrational?

A current schools question and answer enquired students to claim what they consider is the main important point for a student to do in order to achieve success. One which response stood out from the rest was practice. People who absolutely successful do not become successful by being born. They work hard and persistence their lives to succeeding. This is how you can complete your goals. as follows some question and answer examples that you can certainly utilise to enriches your knowledge and gain insight that will guide you to preserve your school studies.

Question:

Which best explains what determines whether a number is irrational?A) a number that can be written as a decimal that repeats and does not terminate
B) a number that can be written as a decimal that terminates and does not repeat
C) a number that can be written as a square root that does not result in a whole number
D) a number that can be writtten as a decimal that neither repeats nor terminates

Answer:

Irrational number can be written as decimal number that, neither a terminating decimal or repeating decimal. Thus, the option D is the correct option, which is a number that can be written as a decimal that neither repeats nor terminates.

What is a irrational number?

Irrational numbers are the number which is the real number but not the rational number(a/b).The irrational numbers can not be represents in the fractional form.

Irrational numbers are written in the form of root of a number such as,

,   ,     etc.

Irrational number can be written as decimal number that, neither a terminating decimal or repeating decimal.

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Lets check all the given options as,

  • A) A number that can be written as a decimal that repeats and does not terminate- Irrational numbers is a decimal which does not repeats. Thus this is not correct option.
  • B) A number that can be written as a decimal that terminates and does not repeat- Irrational numbers is a decimal which does not terminate. Thus this is not correct option.
  • C) A number that can be written as a square root that does not result in a whole number-This does not explain the property of irrational number. Thus this is not correct option.
  • D) A number that can be written as a decimal that neither repeats nor terminates-Irrational number can be written as decimal number that, neither a terminating decimal or repeating decimal. Thus this is the correct option.

Hence, A number that can be written as a decimal that neither repeats nor terminates the option D is the correct option.

From the answer and question examples above, hopefully, they could help the student answer the question they had been looking for and remember of every piece declared in the answer above. You would certainly then have a discussion with your classmate and continue the school learning by studying the subject mutually.

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