Question

Find limits to the error in taking $\frac{222}{203}yards$ are equivalent to a metre, given that a metre is equal to $1.0936yards$.

Answer 1

$\frac{222}{203}$ yards is equivalent to one metre.

$\Rightarrow 222$ yards is equivalent to $203$ metres

According to actual value $1.0936$ yard is $1$ metres

According to actual value $1.0936\times 203=222.0008$ yard is $203$ metres.

Hence, error is $\frac{222.008-222}{222}\times 100=3.7\times {10}^{-4}\text{\%}$