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Question: When a number is rounded off to n decimal places, then the magnitude of relative error does not exce...

When a number is rounded off to n decimal places, then the magnitude of relative error does not exceed

A

10−n10^{- n}

B

10−n+110^{- n + 1}

C

0.5×10−n+10.5 \times 10^{- n + 1}

D

None of these

Answer

0.5×10−n+10.5 \times 10^{- n + 1}

Explanation

Solution

When a number is rounded off to n decimal places, then the magnitude of relative error i.e. ∣ER∣|E_{R}| does not exceed

0.5×10−n+10.5 \times 10^{- n + 1}.