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Maths
Comparing and ordering fractions and decimals (positive and negative)

Starter quiz

  • A decimal with an infinite repeating pattern of digits is called a __________ decimal.
    • fractional
    • proper
    • recurring  ✓
    • terminating
  • Match each decimal given using dot notation to its equivalent decimal.
    • 0. \dot 7 \dot 8
      ⇔
      0.78787878... ✓
    • 0.78 \dot 9
      ⇔
      0.789999999... ✓
    • 0. \dot{7} 8 \dot {9}
      ⇔
      0.789789789... ✓
    • 0. \dot 7
      ⇔
      0.77777777... ✓
    • 0. 7\dot 8 \dot 9
      ⇔
      0.789898989... ✓
  • Select all the fractions which are equivalent to a recurring decimal.
    • \frac{5}{12}  ✓
    • \frac{6}{24}
    • \frac{2}{3}  ✓
    • \frac{9}{15}
    • \frac{2}{12}  ✓
  • Use short division to write 11\over15 as a decimal.
    • 0.73
    • 0.73333333333
    • 0. \dot7 \dot3
    • 0.7 \dot3  ✓
  • Lucas uses his calculator to write 7\over18 as a decimal. His calculator display shows the number 0.3888888889. Lucas says, "This shows my fraction terminates." Is Lucas correct? Explain why.
    • Yes; Lucas' number has 10 digits after the decimal point so it terminates.
    • Yes; the last digit is 9 not 8 so it doesn't repeat. So it must terminate.
    • No; all decimals recur eventually.
    • No; the calculator only has a 12 digit display, the last 8 is rounded up to 9.  ✓
  • Aisha writes the recurring decimal 0.61\dot6 as the fraction \frac{\square}{60}. What number should she write in the square? ______
    • '37' ✓
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