How do you convert $15$ cg to kg?

Hint: First convert $15$ centigrams to grams. For this, we have to first find the value of $1$ cg using a conversion formula, then find the value of $15$ cg by multiplying it with $15$ . Then, we have to convert $0.15$ grams into kilograms. For this, we have to first find the value of $1$ g using a conversion formula, then find the value of $0.15$ g by multiplying it with $0.15$ . The value obtained will be the required value.

Formula used: $1{\text{ kg}} = 1000{\text{ g}}$
 $1{\text{ g}} = 100{\text{ cg}}$

Complete step-by-step solution:
We know that cg is the same as centigrams and kg is the same as kilograms.
So, for converting $15$ cg to kg, we have to first convert $15$ centigrams to grams.
We can use the formula, $1{\text{ g}} = 100{\text{ cg}}$ to convert $15$ centigrams to grams.
Here, $15$ cg is given which is to be converted in g.
We know, $1{\text{ g}} = 100{\text{ cg}}$ .
We have to first find the value of $1$ cg using the above formula, then find the value of $15$ cg by multiplying it with $15$ .
Since, $100{\text{ cg}} = 1{\text{ g}}$ .
Dividing both sides of the equation by $100$ , we get
$1{\text{ cg}} = \dfrac{1}{{100}}{\text{ g}}$
Multiplying both sides of the equation by $15$ , we get
$\Rightarrow$$15{\text{ cg}} = \dfrac{{15}}{{100}}{\text{ g}}$
Which can be written as $15{\text{ cg}} = 0.15{\text{ g}}$ .
Now, we have to convert $0.15$ grams into kilograms using formula, $1{\text{ kg}} = 1000{\text{ g}}$ .
We have to first find the value of $1$ g using the above formula, then find the value of $0.15$ g by multiplying it with $0.15$ .
Since, $1000{\text{ g}} = 1{\text{ kg}}$ .
Dividing both sides of the equation by $1000$, we get
$\Rightarrow$$1{\text{ g}} = \dfrac{1}{{1000}}{\text{ kg}}$
Multiplying both sides of the equation by $0.15$, we get
$\Rightarrow$$0.15{\text{ g}} = \dfrac{{0.15}}{{1000}}{\text{ kg}}$
Which can be written as $0.15{\text{ g}} = 0.00015{\text{ kg}}$.

Therefore, $15{\text{ cg}} = 0.00015{\text{ kg}}$.

Note: We can convert centigrams directly into kilogram by using the formula, $1{\text{ kg}} = 100000{\text{ cg}}$.
We have to first find the value of $1$ cg using the above formula, then find the value of $15$ cg by multiplying it with $15$ .
Since, $100000{\text{ cg}} = 1{\text{ kg}}$ .
Dividing both sides of the equation by $100000$ , we get
$1{\text{ cg}} = \dfrac{1}{{100000}}{\text{ kg}}$
Multiplying both sides of the equation by $15$ , we get
$15{\text{ cg}} = \dfrac{{15}}{{100000}}{\text{ kg}}$
Which can be written as $15{\text{ cg}} = 0.00015{\text{ kg}}$ .
Therefore, $15{\text{ cg}} = 0.00015{\text{ kg}}$ .