Rational and Irrational Numbers Classwork
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Questions and Answers

Which of the following numbers is a rational number?

  • e
  • 0.5 (correct)
  • √2
  • π
  • Which statement about the number -5.2 is true?

  • -5.2 is a rational number. (correct)
  • -5.2 cannot be expressed as a fraction.
  • -5.2 is the same as 5.2.
  • -5.2 has a non-repeating decimal.
  • Which of the following is NOT a characteristic of rational numbers?

  • They include whole numbers.
  • They can be positive or negative.
  • They are never negative. (correct)
  • They have decimal representations.
  • What is the fraction equivalent of the decimal 0.1111...?

    <p>1/9</p> Signup and view all the answers

    Which of the following fractions represents the number -0.1?

    <p>-1/10</p> Signup and view all the answers

    How would you classify the number 1.75?

    <p>Rational, because it can be expressed as 7/4.</p> Signup and view all the answers

    Which pair of fractions is equivalent to 5/1?

    <p>15/3</p> Signup and view all the answers

    What does the negative sign in a rational number indicate?

    <p>The number is always less than zero.</p> Signup and view all the answers

    Study Notes

    Rational Numbers

    • Any number that can be expressed as a ratio of two integers.
    • A number in the form m/n, where n ≠ 0, where m and n are integers.
    • Positive and negative whole numbers/integers, decimals (terminating and repeating), and fractions.

    Irrational Numbers

    • Numbers that cannot be written as a fraction.
    • Non-repeating decimals.

    Comparing Rational Numbers

    • There is no difference in value between -0.25, 0.25- , and -25/100.
    • All equal -0.25 as a decimal.
    • When there is an odd number of negatives, the value is negative.

    Classwork

    • Page 101: #5, 8, 10, 12fh, 14de, 21, 22, 23d, 25b

    Khan Academy Resources

    • Intro to Rational & Irrational Numbers
    • Classifying Rational & Irrational Numbers
    • Practice
    • Video and Practice on Number lines with negative decimals
    • Video and Practice on Number lines with negative decimals and fractions

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    Related Documents

    Rational Numbers PDF

    Description

    This quiz focuses on the classification and comparison of rational and irrational numbers. Students will explore the properties of rational numbers, including ratios, decimals, and comparisons with specific classwork tasks. Utilize provided resources to reinforce learning and understanding of these numerical concepts.

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