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Flashcards · Maths · Standard Form and Accuracy

Error Intervals and Bounds

16 cards

  1. What is an error interval?

    The set of values that would round to a given number.

  2. How is an error interval written?

    \(\text{lower bound} \leq x < \text{upper bound}\).

  3. What is the error interval for 12 cm to the nearest cm?

    \(11.5 \leq L < 12.5\).

  4. What is the error interval for 3.7 to 1 d.p.?

    \(3.65 \leq x < 3.75\).

  5. Why is the upper bound not included?

    The upper bound would round up to the next value.

  6. What is half a unit when rounding to the nearest 10?

    5.

  7. What is the error interval for 40, to the nearest 10?

    \(35 \leq x < 45\).

  8. What does truncated mean?

    Digits are cut off without rounding.

  9. What is the error interval for 5, truncated to a whole number?

    \(5 \leq n < 6\).

  10. What is the upper bound of \(a + b\)?

    The upper bound of \(a\) plus the upper bound of \(b\) (Higher tier).

  11. What is the upper bound of \(a - b\)?

    Upper bound of \(a\) minus lower bound of \(b\) (Higher tier).

  12. What is the upper bound of \(a \div b\)?

    Upper bound of \(a\) divided by lower bound of \(b\) (Higher tier).

  13. What is the lower bound of \(a \times b\)?

    Lower bound of \(a\) times lower bound of \(b\) (Higher tier).

  14. Is the upper bound of 8 cm to the nearest cm 8.5?

    Yes, although the value 8.5 itself is not included in the interval.

  15. What does limit of accuracy mean?

    The lower and upper bounds of a measurement.

  16. What error interval is 0.4 to 1 s.f.?

    \(0.35 \leq x < 0.45\).