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IB Mathematics: Applications and Interpretation SL · 12.2: Finance · 12.2.4

Name Date

Rounding, bounds and percentage error Problem set B

Work in your exercise book. Keep full calculator values until the last step.

Each question matches the question with the same number in set A. Do the ones you got wrong there.

Difficulty: first skills applying them stretch

Skills

  1. Round each number as asked.

    1. (a) 2.71828 to 2 decimal places
    2. (b) 0.004718 to 2 significant figures
    3. (c) 72 436 to 3 significant figures
    4. (d) 49.97 to 1 decimal place

  2. Find the percentage error, to 3 significant figures.

    1. (a) Using 3.14 for \(\pi\)
    2. (b) An estimate of 85 for a true value of 81.6

  3. Write an inequality for the possible values of each rounded number.

    1. (a) 6.7, to 1 decimal place
    2. (b) 340, to the nearest 10
    3. (c) 0.58, to 2 decimal places
    4. (d) 8000, to 2 significant figures

In context

  1. A rectangular garden measures 12.6 m by 7.4 m, each to 1 decimal place. Find (a) the upper bound of its area, (b) the lower bound of its perimeter.

  2. A cyclist covers 600 m, to the nearest 10 m, in 58.7 s, to the nearest 0.1 s. Find the lower bound of the average speed.

  3. A builder estimates a wall as 8 m long. It is really 8.6 m. Find the percentage error in the estimate.

Stretch

  1. The side of a square is 15 cm, to the nearest centimetre. Find the maximum percentage error in the area if 15 cm is used.

jmaths.xyz · AI SL · 12.2.4 Rounding and percentage error