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Which of the following are rational numbers?\newlineMulti-select Choices:\newline(A) 2.2252.225\newline(B) 11\newline(C) 33\newline(D) 00

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Q. Which of the following are rational numbers?\newlineMulti-select Choices:\newline(A) 2.2252.225\newline(B) 11\newline(C) 33\newline(D) 00
  1. Define Rational Number: Define what a rational number is.\newlineA rational number is any number that can be expressed as the quotient or fractions" target="_blank" class="backlink">fraction pq\frac{p}{q} of two integers, where pp and qq are integers and qq is not zero. Rational numbers include integers, fractions, and terminating or repeating decimals.
  2. Check 22.225225: Determine if choice (A) 2.2252.225 is a rational number.\newline2.2252.225 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 1010 as the denominator. In this case, 2.225=222510002.225 = \frac{2225}{1000}, which is a fraction of two integers.
  3. Check 11: Determine if choice (B) 11 is a rational number.\newline11 is an integer, and all integers are rational numbers because they can be expressed as a fraction with 11 as the denominator. In this case, 1=111 = \frac{1}{1}.
  4. Check 33: Determine if choice (C) 33 is a rational number.\newline33 is an integer, and as previously stated, all integers are rational numbers. In this case, 3=313 = \frac{3}{1}.
  5. Check 00: Determine if choice (D) 00 is a rational number.\newline00 is an integer, and it is also a rational number because it can be expressed as 0/10/1 or 0/q0/q for any non-zero integer qq.

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