Question

percentage error in 4±0.2​

Answer 1

Answer:

$\sf{The \ percentage \ error \ in \ 4\pm0.2 \ is \ 5\%.}$

Given:

$\sf{a\pm\Delta a=4\pm0.2}$

Formula:

$\sf{Percentage \ error=\dfrac{\Delta \ a}{a}\times100}$

Solution:

$\sf{Percentage \ error=\dfrac{0.2}{4}\times100}$

$\sf{\therefore{Percentage \ error=0.2\times25}}$

$\sf{\therefore{Percentage \ error=5\%}}$

$\sf\purple{\tt{\therefore{The \ percentage \ error \ in \ 4\pm0.2 \ is \ 5\%.}}}$

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$\sf\blue{Extra \ information}$

$\sf{Relation \ error=\dfrac{\Delta \ a}{a}}$

$\sf{Percentage \ error=Relative \ error\times100}$