Question & Answer
QUESTION

Convert the following distance
$27km{\text{ }}241m{\text{ }}319mm{\text{ into }}m$
\[
  A.{\text{ }}27241.319m \\
  B.{\text{ }}27000.319m \\
  C.{\text{ }}27219.241m \\
  D.{\text{ }}27319.241m \\
 \]

ANSWER Verified Verified
Hint: Use the universal conversion scheme to convert the distance given into meters. Do the conversion of given distance in parts. First km then mm and finally add them.

Complete step-by-step answer:

We have to convert $27km{\text{ }}241m{\text{ }}319mm{\text{ into }}m$

We have km and mm in the problem apart from the meter.

As we know the universal conversion
$
  1km = 1000m \\
  1mm = {10^{ - 3}}m \\
 $

Let us first convert km part in the problem
$
  \because 1km = 1000m \\
  \therefore 27km = 27 \times 1000m \\
   \Rightarrow 27km = 27000m \\
 $

Now let us convert mm part in the problem
$
  \because 1mm = {10^{ - 3}}m \\
  \therefore 319mm = 319 \times {10^{ - 3}}m \\
   \Rightarrow 319mm = 0.319m \\
 $

We have 241m apart from these km and mm which does not need to be converted.

Finally the distance in meter will be the sum of all the three converted quantity
\[
   \Rightarrow 27km{\text{ }}241m{\text{ }}319mm \\
   = 27000m + 241m + 0.319m \\
   = 27241.319m \\
 \]

Hence, the distance $27km{\text{ }}241m{\text{ }}319mm$ in meter is $27241.319m$

So, option A is the correct option.

Note: In order to solve such problems related to conversion students must give extra emphasis on the units of the quantity given and the units of the quantity asked. Students must remember the formula for conversion of one unit to another.