Question

Find the upper bound for the following lengths:
a) 60 cm measured to the nearest cm.
b) 96.3 cm measured to the nearest tenth of a cm.

Answer 1

Answer:

60cm=60.5cm

96.3cm=96.35cm

Answer 2

The upper bound lengths are 60.4 cm and 96.34 cm for the given lengths of 60 cm and 96.3 cm.

What are the upper and lower bounds of an approximation?

The upper bound for the given value is the numerical value that is rounded for the next value of the given value.

the Lower bound for the given value is the numerical value that is rounded for the previous value or the estimated value of the given value.

Approximation of the given lengths:

a) 60 cm - this is rounded off for the values,

Lower bound - 59.5 cm and Upper bound - 60.4 cm

b) 96.3 cm - this is rounded off for the values,

Lower bound - 96.25 cm and Upper bound - 96.34 cm (rounded to the nearest tenth)

So,

The upper bounds for the given lengths are 60.4 cm and 96.34 cm.

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