Question

The length of a road is $2\mathrm{Km}419\mathrm{m}$. Find its length in millimetres.

Answer 1

$\Rightarrow$The length of a road is given to be $2\mathrm{Km}419\mathrm{m}$

We know, $1\mathrm{Kilometres}\left(\mathrm{Km}\right)=1000\mathrm{metres}\left(\mathrm{m}\right)$

$\therefore$The length of road in $\mathrm{metres}\left(\mathrm{m}\right)$$=\left(2\times 1000+419\right)\mathrm{m}$

$=\left(2000+419\right)\mathrm{m}$

$=$$2419\mathrm{m}$

We know, $1\mathrm{metres}\left(\mathrm{m}\right)=100\mathrm{centimetres}\left(\mathrm{cm}\right)$

$\therefore$The length of road in $\mathrm{centimetres}\left(\mathrm{cm}\right)$$=$$\left(2419\times 100\right)\mathrm{cm}$

$=241900\mathrm{cm}$

Also we know that $1\mathrm{centimetre}\left(\mathrm{cm}\right)=10\mathrm{millimetres}\left(\mathrm{mm}\right)$

$\therefore$The length of road in $\mathrm{millimetres}\left(\mathrm{mm}\right)=$$\left(241900\times 10\right)\mathrm{mm}$

$=2419000\mathrm{mm}$

Therefore, the length of the road is $2419000\mathrm{mm}$