Upper and lower bound

Upper and lower bound

Lessons


upper and lower bound table
  • Introduction
    Introduction to upper and lower bounds
    a)
    How to find the upper and lower bounds?

    b)
    What is "Limits of accuracy"?


  • 1.
    Evaluating the Upper and Lower Bounds
    Find the upper and lower bounds for each of the following scenarios:
    a)
    The time it takes Dennis to finish a 1km-race is 130s, rounded to the nearest 10 seconds.

    b)
    The size of a watch face measures 4cm to the nearest centimeter.

    c)
    Thomas weighs 72.6kg, accurate to 1 decimal place.

    d)
    The maximum speed of Kevin's car is 200mph, rounded to 1 significant figure.


  • 2.
    Understanding the Limits of Accuracy
    In Sylvia's garden, the average width of a willow tree trunk is 136cm while that of a maple tree trunk is 172cm, both numbers corrected to the nearest centimeter. Find the greatest possible difference in their widths.

  • 3.
    A rectangle with length 7cm and width 3cm is given. If both sides are measured to the nearest cm, find the smallest possible area.

  • 4.
    Michael takes 43s, to the nearest second, to finish a 400m sprint, measured to the nearest 10m. What is his fastest possible average speed?