Question

Express the decimal notation and subtraction of $66{\text{kg}} 725{\text{gm}}$ from $92{\text{kg}} 6{\text{hgm}} 8{\text{gm}}$.

Answer 1

Hint: According to given in the question we have to find the subtraction of $66{\text{kg}} 725{\text{gm}}$ from $92{\text{kg}} 6{\text{hgm}} 8{\text{gm}}$ so, first of all we have to convert $66{\text{kg}} 725{\text{gm}}$ into kg with the help of the formula as given below:

Formula used: $1kg = \dfrac{1}{{1000}}gm$…………….(1)
And now, we have to convert the term $92{\text{kg}} 6{\text{hgm}} 8{\text{gm}}$ with the help of the formula as given below:
$1hg = \dfrac{1}{{10}}kg..................(2)$
Where, hg is the hectogram.
Now, after converting both of the terms $66{\text{kg}} 725{\text{gm}}$ and $92{\text{kg}} 6{\text{hgm}} 8{\text{gm}}$ into kg we have to subtract $66{\text{kg}} 725{\text{gm}}$ from $92{\text{kg}} 6{\text{hgm}} 8{\text{gm}}$

Complete step-by-step answer:
Step 1: First of all we have to convert the term $66{\text{kg}} 725{\text{gm}}$ into kg with the help of the formula (1) as mentioned in the solution hint.
$
   = \left( {66 + \dfrac{{725}}{{1000}}} \right)kg \\
   = (66 + 0.725)kg \\
   = 66.725kg............(3)
 $
Step 2: Now, we have to convert the term $92{\text{kg}} 6{\text{hgm}} 8{\text{gm}}$ into kg with the help of the formula (2) as mentioned in the solution hint.
$
   = \left( {92 + \dfrac{6}{{10}} + \dfrac{8}{{1000}}} \right)kg \\
   = (92 + 0.6 + 0.008)kg \\
   = 92.608kg..........(4)
 $
Step 3: Now, to find the subtraction of $66{\text{kg}} 725{\text{gm}}$ from $92{\text{kg}} 6{\text{hgm}} 8{\text{gm}}$ we have to subtract obtained equation (3) from equation (4)
Hence,
$
   = (92.608 - 66.725)kg \\
   = 25.883kg
 $

Hence, with the help of formula (1) and (2) we have obtained the subtraction of $66{\text{kg}} 725{\text{gm}}$ from $92{\text{kg}} 6{\text{hgm}} 8{\text{gm}}$ which is $ = 25.883kg$

Note: To find the subtraction it is necessary to obtain all units same which can be done by converting the given units to the required unit.
To convert the unit gm into kg we have to divide the given term in gm by 1000 and to convert the unit hgm into kg we have to divide the given term in hgm by 10