Question

The distance between Hyderabad and Delhi is $1674.9\,{\rm{km}}$ by rail .How would you express this in centimetres? Also express this in scientific Form.

Answer 1

As we know that there are $100000\,{\rm{cm}}$ in $1\,{\rm{km}}$ place the decimal after first digit and express the number in the power of $10$ to express it in scientific notation . Scientific notation is helpful in representing a very large or a very small number in a readable form.

Complete step by step answer:
Given the distance between Hyderabad and Delhi is $1674.9\,{\rm{km}}$ by rail
To convert the distance into centimetres multiply the given distance with $100000$
$1\,{\rm{km}} = 100000\,{\rm{cm}}\\\ {\rm{1647}}{\rm{.9}}\,{\rm{km}} = 1647.9\,{\rm{km}} \times \dfrac{{100000\,{\rm{cm}}}}{{1\,{\rm{km}}}}\\\ = 164790000\,{\rm{cm}}$
Now we have to convert the distance between Hyderabad and Delhi which is $16470000\,{\rm{cm}}$ to scientific notation. To convert the distance into scientific notation we have to put decimal after the first digit and then express the number in multiple of $10$ .
Therefore
$16470000\,{\rm{cm}} = 1.647 \times {10^7}\,{\rm{cm}}$ .
Hence the scientific notation for $16470000\,{\rm{cm}}$ is $1.647 \times {10^7}\,{\rm{cm}}$ .

Note:
while converting the Distance from kilometre to centimetre we must take into concern that we have to multiply the given distance by $100000$ in order to determine the distance into centimetres it might be possible that some of us can divide the given distance which will lead to a Wrong answer.
While writing the scientific notation we must focus on the power of $10$ it can be possible that one can count the wrong number up to which the $10$ must be powered to obtain the correct result.