Question

Fish can swim in depths as deep as $9.5\;$ km. How many meters is this? How many mm?

Answer 1

Hint: The given quantity which is $9.5\;$ km is a quantity in kilometers. We have been asked to represent the same quantity in meters and mm. Here mm means millimeters. The terms which are asked us to represent the depth at which the fish can swim is distance. Hence first write the conversions from kilometers to meters and kilometers to millimeters in unit quantity and then multiply it with $9.5\;$

Complete step by step solution:
Firstly, before we start solving our question,
Let us write down the conversions first.
We are asked to convert from kilometers to meters and kilometers to millimeters.
Now the conversion for kilometers to meters is,
$1km=1000m$
The conversion for kilometers to millimeters is,
$1km=1000m=100000cm=1000000mm$
These can also be written in powers of $10\;$ also as,
For kilometers to meters,
$1km=1000m={{10}^{3}}m$
For kilometers to millimeters,
$1km=1000000mm={{10}^{6}}mm$
Now coming to our question, we are given that,
Fish can swim in depths as deep as $9.5\;$ km and hence we must represent that depth in meters and millimeters.
Firstly, in meters,
Since $1km=1000m$
$9.5km\;$ will be equal to $9.5\times 1000=9500m$
Which can be represented in power form as,
$\Rightarrow 9.5\times {{10}^{3}}m$
Secondly, in millimeters,
Since $1km=1000000mm={{10}^{6}}mm$
$9.5km\;$ will be equal to $9.5\times 1000000=9500000mm$
Which can be represented in power form as,
$\Rightarrow 9.5\times {{10}^{6}}mm$

Hence fish can swim up to depths of $9.5km\;$ and when converted into meters and millimeters we get $9500m;9500000mm\;$.

Note: Never forget to write the units of the given quantity after the whole evaluation. Units are what gives the quantity the recognition and identity. Whenever there are more zeros in the end, we can write it in powers of $10\;$ to reduce space and time.