Q. Which of the following are rational numbers?Multi-select Choices:(A) 0(B)β Ο(C) 1(D) 10.81
Define Rational Number: Define a rational number.A rational number is any number that can be expressed as the quotient or fractions" target="_blank" class="backlink">fraction qpβ of two integers, where p and q are integers and q is not zero. Rational numbers include integers, fractions, and terminating or repeating decimals.
Evaluate 0: Evaluate choice (A) 0.The number 0 can be expressed as 10β, where 0 and 1 are both integers and 1 is not zero. Therefore, 0 is a rational number.
Evaluate Pi: Evaluate choice (B) Ο. The number Ο (pi) is known to be an irrational number. It cannot be expressed as a fraction of two integers and its decimal representation is non-terminating and non-repeating.
Evaluate 1: Evaluate choice (C) 1. The number 1 can be expressed as 11β, where both 1's are integers and the denominator is not zero. Therefore, 1 is a rational number.
Evaluate 10.81: Evaluate choice (D) 10.81. The number 10.81 is a terminating decimal, which means it can be expressed as a fraction. In this case, 10.81=1001081β, where both 1081 and 100 are integers and 100 is not zero. Therefore, 10.81 is a rational number.