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Calculating With Upper & Lower Bounds | Number | Maths | FuseSchool

In this video we are going to look at how to calculate with upper and lower bounds.

To find the upper bound of an addition or of an area, you would want to multiply the upper bounds of both measurements, as this would give the largest possible sum / area. Whereas to get the lower bound of a addition or multiplication (such as area) you would multiply the lower bounds of both measurements.

For subtraction we need to think a little more carefully. To get the upper bound of a subtraction, you would want to take the upper bound of the first measurement and subtract the lower bound of the second, to give the largest possible outcome. Whereas to get the lower bound of a subtraction you would want to take a big value (upper bound second value) away from the smallest possible value (lower bound first value).

We also need to think more carefully about division. To get an upper bound answer, we would want to divide a big number (upper bound) by a small number (lower bound). Whereas a lower bound division would be the opposite; divide a small number (lower bound) by the biggest possible value (upper bound).


CREDITS
Animation & Design: Martin Mukhanu
Narration: Lucy Billings
Script: Lucy Billings

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