GCSE Maths (Edexcel)

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Multiplying Limits of Accuracy

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Number Measures and Accuracy

Multiplying Limits of Accuracy

3:53 Limits of Accuracy Calculations
Spec N16
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  • When multiplying two measurements, the limits of accuracy for the result depend on the bounds of the original measurements.
  • The smallest possible area is obtained by multiplying the two shortest possible lengths, while the maximum possible area is obtained by multiplying the largest possible lengths.
  • To find the lower bound of the result, multiply the lower bounds of the original measurements. To find the upper bound, multiply the upper bounds.
  • An example is given where the length of a rectangle is measured to the nearest 10 centimeters and the width is measured to the nearest centimeter. The lower and upper bounds of the area of the rectangle are calculated.
  • The lower bound of the area is obtained by multiplying the lower bounds of the length and width, while the upper bound is obtained by multiplying the upper bounds.
  • It is important to use precise equipment when taking measurements to minimize the difference between the lower and upper bounds.

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