Rational Numbers Division Patterns
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Questions and Answers

How is the number 0.2353535... expressed in the form p/q?

  • 0.235
  • 0.233 (correct)
  • 235/1000
  • 0.23

    • What is the result when multiplying x by 100 as shown in the text?

  • 126
  • 23.3
  • 127.2727...
  • 23.5 (correct)

    • What is the value of x when 99x equals 23.3 in the text?

  • 126
  • 0.23
  • 23.3
  • 0.235 (correct)

    • Which of the following statements is true about rational numbers based on the text?

    <p>Rational numbers can have either terminating or non-terminating recurring decimal expansions.</p> Signup and view all the answers

    What can be concluded about the decimal expansions of irrational numbers from the text?

    <p>They are always non-terminating non-recurring.</p> Signup and view all the answers

    In the context of rational numbers, what is meant by a 'non-terminating recurring' decimal expansion?

    <p>A decimal that repeats a pattern of digits indefinitely.</p> Signup and view all the answers

    How is the number 0.3333... expressed in the form p/q according to the text?

    <p>$1/3$</p> Signup and view all the answers

    What is the significance of multiplying a number by 100 to convert a repeating decimal to an equation as shown in the text?

    <p>It helps remove the repeating decimals.</p> Signup and view all the answers

    'Every number with a non-terminating recurring decimal expansion can be expressed in which form according to the text?'

    <p>$p/q$ where $p$ and $q$ are integers and $q \neq 0$</p> Signup and view all the answers

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