Q. Which of the following are rational numbers?Multi-select Choices:(A) 2.225(B) 1(C) 3(D) 0
Define Rational Number: Define what a rational number is.A rational number is any number that can be expressed as the quotient or fractions" target="_blank" class="backlink">fraction qp of two integers, where p and q are integers and q is not zero. Rational numbers include integers, fractions, and terminating or repeating decimals.
Check 2.225: Determine if choice (A) 2.225 is a rational number.2.225 is a terminating decimal because it ends after a finite number of decimal places. Therefore, it can be expressed as a fraction with an integer numerator and a power of 10 as the denominator. In this case, 2.225=10002225, which is a fraction of two integers.
Check 1: Determine if choice (B) 1 is a rational number.1 is an integer, and all integers are rational numbers because they can be expressed as a fraction with 1 as the denominator. In this case, 1=11.
Check 3: Determine if choice (C) 3 is a rational number.3 is an integer, and as previously stated, all integers are rational numbers. In this case, 3=13.
Check 0: Determine if choice (D) 0 is a rational number.0 is an integer, and it is also a rational number because it can be expressed as 0/1 or 0/q for any non-zero integer q.