Question

What is the value of $1\,gm$ in $kg$ ?
A. ${10^{ - 6}}$
B. ${10^6}$
C. ${10^{ - 3}}$
D. ${10^3}$

Answer 1

Conversion of units is the measure of transforming the particular measurement of any specific physical quantity in one form of units. A $g$ is a short form of grams and $kg$ is a short form of a kilogram. A gram and a kilogram are a unit of mass in the international system of units. A kilogram is defined as a thousand grams.

Complete step by step answer:
Any matter that occupies space is said to have a certain mass. A mass is a measure of the amount of matter that is contained in the body. In the international system of units, a mass is always measured in kilograms.
As we know that a kilogram is a thousand times the grams, therefore, it is given below
$1kg = 1000g$
$\Rightarrow \,1\,gm = \dfrac{1}{{1000}}kg$
$\Rightarrow \,1\,gm = {10^{ - 3}}kg$
Therefore, the value of $1gm$ is equal to ${10^{ - 3}}kg$

So, the correct answer is “Option C”.

Additional Information:
A unit in mathematics is used to measure physical quantities. A physical quantity is defined as a quantity that can be measured. Each unit in mathematics can be measured by using a dimensional formula that is in terms of mass, length, and time. In many mathematical problems, the quantities that involve the calculation of final results are not measured in the same unit.
The various units that are used to measure the mass are given by

Sl NO.	SI UNIT	SI unit conversion
1	1 kilogram	$1\,kg = 1000\,gram\,(g)$
2	1 gram	$1\,g = 1000\,milligrams\,(mg)$
3	1 pound	$1\,pound = 453.59237\,gram$
4	1 ton	$1\,ton = 2000\,pounds$

Note:
In physics, mathematics, and chemistry we have to deal with bigger and smaller quantities, a confronting factor is used to convert a measured quantity to a different unit of measure without actually changing the relative amount. A unit always behaves just like numbers in expressions like products and quotients.
Every physical quantity that can be measured as a separate unit to measure that quantity.