Mathematics 4024 · O Level · Limits of accuracy

Limits of accuracy — practice question

To 6 decimal places, $\sqrt{10}=3.162278$, whereas $3\frac{1}{6}=3.166667$.
(a)[1]

Calculate the difference between $3\frac{1}{6}$ and $\sqrt{10}$. State your answer correct to 2 significant figures.

(b)[1]

Estimate, to the nearest whole number, the value of $\sqrt{2.986^2+4.002^2}$.

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