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The mass and volume of a body are $4.237 \mathrm{~g}$ and $2.5 \mathrm{~cm}^3$, respectively. The density of the material of the body in correct significant figures is
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$1.7 \mathrm{~g} \mathrm{~cm}^{-3}$
$1.7 \mathrm{~g} \mathrm{~cm}^{-3}$
As we know that in multiplication or division, the final result should retain as many significant figures as are there in the original number with the least significant figures.
The significant figure in given numbers $4.237 \mathrm{~g}$ and $2.5$ $\mathrm{cm}^3$ are four and two respectivey so, density should be reported to two significant figures.
Density $=\frac{4.237 \mathrm{~g}}{2.5 \mathrm{~cm}^3}=1.6948=1.7 \mathrm{~g}^{-\mathrm{cm}^{-3}}$
$\therefore$ As rounding off the number upto 2 significant figures, we get density $=1.7$
The significant figure in given numbers $4.237 \mathrm{~g}$ and $2.5$ $\mathrm{cm}^3$ are four and two respectivey so, density should be reported to two significant figures.
Density $=\frac{4.237 \mathrm{~g}}{2.5 \mathrm{~cm}^3}=1.6948=1.7 \mathrm{~g}^{-\mathrm{cm}^{-3}}$
$\therefore$ As rounding off the number upto 2 significant figures, we get density $=1.7$
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