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Slide 1

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Lower Bounds
The diameter of a birthday cake is 25 cm, rounded to the nearest
whole number. We want to know what the lower bound is for this
So, you need to find the smallest value possible that rounds to
25cm. That would be 24.5cm.
The lower bound of the cake's diameter is 24.5cm.…read more

Slide 2

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Upper Bounds
With upper bounds, you do the reverse. So, instead of finding
the min value that can be rounded to 25, you find the max.
The max value that rounds down to 25, is 25.49999999......
But, to make sums easier we round the number up to 25.5.
So, the upper bound of the cake's diameter is 25.5cm.…read more

Slide 3

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Upper & Lower Bounds
To find the lower bound you subtract
half the units being used. And Upper
bounds are always + half the units
being used.
For example...
For nearest 100, add/subtract 50
For nearest 10, add/subtract 5
For nearest 1, add/subtract 0.5…read more

Slide 4

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Area Example
We want to 14 cm
work out the
UB & LB areas 6 cm
to 1 d.p
First work out Size Lower B. Upper B.
the UB's and
LB's for each 14 cm 13.5 cm 14.5 cm
side 6 cm 5.5 cm 6.5 cm
Then multiply the LB's with the LB's & the
UB's with the UB's
LB Area 13.5 x 5.5 = 74.25 cm2, 74.3 cm2 to 1 d.p
UBArea 14.5 x 6.5 = 94.25 cm2, 94.3 cm 2 to 1 d.p…read more




Good presentation  of Upper and lower bounds calculations. Should be classified with measures

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