Question

How do you convert $96\text{ }kg$ to $g$?

Answer 1

Hint: In this question, we have to convert the given kilogram into grams. As we know, a kilogram and a gram are a standard international unit used to measure the mass of an object, and the human beings. For example, to measure the weight of fruits, or to know the weight of a boy, and etc. Both the kilogram unit and the gram unit are related to each other. So, in this problem, we will convert the kilogram into gram by using simple mathematical rules. We will apply the formula $1\text{ }g=\dfrac{1}{1000}\text{ }kg$ and then multiply both sides of the equation by 96. After that, we will again multiply 1000 on both sides of the equation and make the necessary calculations, to get the required solution to the problem.

Complete step by step answer:
According to the question, we have to convert the kilogram units into gram units.
So, we will apply the kilogram-gram method to get the solution.
The term given to us is $96kg$ --------- (1)
Now, we will apply the formula $1\text{ }g=\dfrac{1}{1000}\text{ }kg$ to get the solution, that is
$\Rightarrow 1\text{ }g=\dfrac{1}{1000}\text{ }kg$
Now, we first multiply both sides of the equation by 96, we get
$\Rightarrow 1\times 96\text{ }g=\dfrac{1}{1000}\times 96\text{ }kg$
On further solving, we get
$\Rightarrow 96\text{ }g=\dfrac{96}{1000}kg$
Now, we will multiply 1000 on both sides in the above equation, we get
$\Rightarrow 96\times 1000\text{ }g=\dfrac{96}{1000}\times 1000\text{ }kg$
As we know, the same term in the numerator and the denominator cancel out, and we get the quotient equal to 1, therefore we get
$\Rightarrow 96\times 1000\text{ }g=96\text{ }kg$
On further solving, we get
$\Rightarrow 96000\text{ }g=96\text{ }kg$
$\Rightarrow 96\text{ k}g=96000\text{ }g$ which is our required answer.
Therefore, for the kilogram unit $96\text{ }kg$ , its conversion in terms of the gram is equal to $96000\text{ }g$

Note: While solving this problem, do remember that we are converting the kilogram into gram and not vice-versa. Do keep in mind to mention the units with the term, because that helps in understanding the conversions clearly.