A length is measured as 21cm correct to 2 significant figures. what is the upper bound for the length?

The question is an illustration of approximation and estimation.

The upper bound for the length is 21.4 cm

The approximated length to 2 significant digits is given as:

The smallest number that approximates to 21 is 20.5, while the highest is 21.4...

This means that:

Lower bound = 20.5

Upper bound = 21.4

Hence, the upper bound for the length is 21.4 cm

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the upper bound for the length is   .

Step-by-step explanation:

Lower and Upper Bounds

Ex:- a mass of 70 kg, rounded to the nearest 10 kg, The upper bound is 75 kg, because 75 kg is the smallest mass that would round up to 80kg.

Here , A length is measured as 21cm correct to 2 significant figures. We need to find what is the upper bound for the length . let's find out:

As discussed above , upper bound for any number will be the smallest value in decimals which will round up to next integer value . So , for 21 :

⇒

21.5 cm on rounding off will give 22 cm . So , the upper bound for the length is   .

the answer is b.)

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