Conversion of Units (length, weight)
Ginny is a great teacher
She gave a problem to her class to solve
She told them to find the total height of the flag post above the ground level
which means she asked the class to find the length of
$AB$
After a while, a student said that the height of the flag post above ground level is
$70$
$m$
Then, everyone said the same answer
Ginny said that everyone has said the wrong answer
She said that since the length of the flag post is in
$ft$
and the rest in
$m$
So, we cannot add them as they are in different units
So, before we add we need to bring all the units into the same unit
So that we can add and find the height of the flag post above the ground level
Before we solve we should always check and convert everything to the same unit and then find the answer
So, let us see some basic conversions which will help you use and bring everything to the same unit
These are the basic conversions used in our daily lives
Now, let us come back to the problem again
Now, we need to calculate
$AB=50$
$m+10$
$m+10$
$ft$
So first, we convert everything into the same units
We know,
$1$
$ft=30$
$cm$
So,
$10$
$ft=30×10$
$cm∴10$
$ft=300$
$cm$
And,
$100$
$cm=1$
$m$
So,
$300$
$cm=3$
$m∴10$
$ft=300$
$cm=3$
$m$
So,
$AB=50$
$m+10$
$m+3$
$m$
$∴AB=63$
$m$
So, Ginny explained how to convert the length of one unit from another
She also said that the quantities we deal with are not only lengths or heights but also weights and mass
So, let us see the basic conversions of weights and masses too
In lengths, we deal with
$m,cm,km,ft$
etc. But here we will deal with
$tons,kg,g,mg,$
etc
These are the basic conversions we need to memorize which will help to bring them to a single unit
Let us work out an example to have a better understanding
Let us find
$4tons345kg$
in
$g$
We know
$1$
$ton=1000$
$kg$
So,
$4$
$ton=4000$
$kg$
So,
$4$
$tons$
$345kg=4000+345$
$kg=4345$
$kg$
Now,
$1$
$kg=1000$
$g$
So,
$4345$
$kg=4345×1000$
$g∴4$
$tons$
$345kg=4345000$
$g$
So, we know how to convert the basic quantities of different lengths and weights
Revision
The basic conversions used for lengths
The basic conversions used for weights
The End