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When a measurement has been rounded, the true value is not exactly the number written. Bounds tell us the smallest and largest values the measurement could be.
The lower bound is the smallest possible value, and the upper bound is the boundary before the value would round up. For a length of 28 cm to the nearest cm, the interval is 27.5≤l<28.527.5 \le l < 28.527.5≤l<28.5.
To find bounds, work out the rounding gap and halve it. Nearest cm gives a half-gap of 0.50.50.5, nearest 5 m gives 2.52.52.5, and correct to 2 decimal places gives 0.0050.0050.005.
Question 1
4 marksA rectangle has a length of 21 cm, to the nearest cm, and a width of 5.3 cm, to the nearest mm.
Revision notes for Edexcel GCSE Maths Bounds: explanations and worked examples.
1 of 5
A length is 58.058.058.0 cm correct to the nearest millimetre. Which interval shows the possible values of the length lll?