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Converting fractions to recurring decimals

The starter and exit quiz of the lesson “Converting fractions to recurring decimals”, from the unit “Comparing and ordering fractions and decimals (positive and negative)” (Year 7 Maths) by Oak National Academy.

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12 questions

  1. Terminating decimals have a ___ number of digits after the decimal point.
  2. Without using a calculator, work out the decimal value of \frac {13}{20}. ___
  3. Select all the fractions that can be written as terminating decimals.
  4. Aisha uses her calculator to convert 0.668 to a fraction. She gets an answer of \frac {167}{\square}. What number should go in the square? ___
  5. Match each fraction to its terminating decimal. You can use a calculator for this question.
  6. Sam says that 231 \over 330 is not equivalent to a terminating decimal. Without using a calculator, explain whether Sam is correct or not.
  7. A decimal with an infinite repeating pattern of digits is called a ___ decimal.
  8. Match each decimal given using dot notation to its equivalent decimal.
  9. Select all the fractions which are equivalent to a recurring decimal.
  10. Use short division to write 8\over15 as a decimal.
  11. Jacob uses his calculator to write 11\over12 as a decimal. His calculator display shows the number 0.9166666667. Jacob says, "This shows my fraction terminates." Is Jacob correct? Explain why.
  12. Izzy writes the recurring decimal 0.71\dot6 as the fraction \frac{\square}{60}. What number should she write in the square? ___

License: OGL

Converting fractions to recurring decimals · Examplary