Section 1.4 - Rational Numbers

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Rational Number Quizzes & Trivia

Complete the following questions


Questions and Answers
  • 1. 

    Of which set does 0 not belong?

    • A.

      Natural numbers

    • B.

      Whole numbers

    • C.

      Integers

    • D.

      Rational numbers

    Correct Answer
    A. Natural numbers
    Explanation
    The set of natural numbers includes all positive whole numbers starting from 1. Since 0 is not a positive number, it does not belong to the set of natural numbers.

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  • 2. 

    Rename 3/8 as a decimal

    • A.

      0.375

    • B.

      0.38

    • C.

      0.4125

    • D.

      0.425

    Correct Answer
    A. 0.375
    Explanation
    To convert a fraction to a decimal, divide the numerator (3) by the denominator (8). In this case, 3 divided by 8 equals 0.375. Therefore, the correct answer is 0.375.

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  • 3. 

    How can 0.54 be written as a fraction?

    • A.

      5/9

    • B.

      6/11

    • C.

      17/30

    • D.

      27/50

    Correct Answer
    D. 27/50
    Explanation
    To write 0.54 as a fraction, we need to consider the decimal place value. The digit 5 is in the hundredths place, so we can write it as 5/100. Simplifying this fraction gives us 27/50, which is the equivalent fraction for 0.54.

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  • 4. 

    Which fraction is greater than 3/10, but less than 1/3?

    • A.

      3/8

    • B.

      7/20

    • C.

      7/25

    • D.

      5/16

    Correct Answer
    D. 5/16
    Explanation
    The fraction 5/16 is greater than 3/10 because when both fractions are converted to decimals, 5/16 is approximately 0.3125 while 3/10 is 0.3. On the other hand, 5/16 is less than 1/3 because when both fractions are converted to decimals, 5/16 is approximately 0.3125 while 1/3 is approximately 0.3333. Therefore, 5/16 is the fraction that is greater than 3/10 but less than 1/3.

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  • 5. 

    Which statement is true?

    • A.

      -5 < -3

    • B.

      -2.3 > -2.15

    • C.

      -2 2/5 < -2.4

    • D.

      -3.21 > -3.2

    Correct Answer
    A. -5 < -3
    Explanation
    The given statement "-5 < -3" is true because -5 is less than -3 on the number line.

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  • 6. 

    To which set of numbers does -2.75 belong?

    • A.

      Natural numbers

    • B.

      Whole numbers

    • C.

      Integers

    • D.

      Rational numbers

    Correct Answer
    D. Rational numbers
    Explanation
    The number -2.75 belongs to the set of rational numbers because it can be expressed as a fraction, -11/4, where the numerator and denominator are integers. Rational numbers include integers, fractions, and decimals that can be written as a fraction. Since -2.75 can be written as a fraction, it falls under the category of rational numbers.

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  • 7. 

    How can -3 2/3 be written as the quotient of two integers?

    • A.

      -11 / 3

    • B.

      -3 / 11

    • C.

      -11 / -3

    • D.

      -3 / - 11

    Correct Answer
    A. -11 / 3
    Explanation
    To write -3 2/3 as the quotient of two integers, we need to convert the mixed number to an improper fraction. -3 2/3 can be written as -11/3, where -11 is the numerator and 3 is the denominator. This is the correct answer.

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  • 8. 

    A basketball team has won 0.625 of its games.  If the team has played 24 games, how many games has the team won?

    • A.

      14

    • B.

      15

    • C.

      16

    • D.

      18

    Correct Answer
    B. 15
    Explanation
    If the basketball team has won 0.625 of its games, it means they have won 62.5% of their games. To find the number of games they have won, we multiply the percentage by the total number of games played. So, 0.625 * 24 = 15. Therefore, the team has won 15 games.

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  • 9. 

    Which sentence is true?

    • A.

      All whole numbers are also natural numbers

    • B.

      All integers are also rational numbers

    • C.

      All rational numbers are also integers

    • D.

      All integers are also whole numbers

    Correct Answer
    B. All integers are also rational numbers
    Explanation
    All integers can be expressed as fractions with a denominator of 1, making them rational numbers. This is because any integer divided by 1 will result in a fraction. Therefore, the statement "All integers are also rational numbers" is true.

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  • Current Version
  • Mar 20, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Jan 31, 2009
    Quiz Created by
    Seixeiroda
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