Question

How do you convert $7000$ grams to kilograms?

Answer 1

Hint:In order to convert grams into kilograms one should be known to the conversional relation between them. One gram is equal to the thousandth part of a kilogram if we express it mathematically then it will be as follows

$1gm = \dfrac{1}{{1000}}kg$ and in decimals it can be written as $1gm = 0.001kg$

In scientific notation one gram is equal to the power of negative three, i.e.
$1gm = {10^{ - 3}}kg$

Use anyone of these relations to convert grams into kilograms.

Complete step by step solution:
Kilogram and gram are the basic unit of mass, in which kilogram belongs to the S.I. (Standard International) unit system whereas gram belongs to C.G.S. (centimeter gram seconds) unit system.

Mass is one of the seven fundamental physical quantities, it is a property of the physical body as well as the resistance to acceleration, when a net force is applied to it. It has it S.I. unit kilogram which is represented by “kg” and is defined as the mass of a platinum-iridium cylinder, housed at the International Bureau Weights and Measures.

Now coming to the question to convert $7000$ grams to kilograms, we know that
$1gm = 0.001kg$

Multiplying by $7000$ to both sides we will get
$
\Rightarrow 7000 \times 1gm = 7000 \times 0.001kg \\
\Rightarrow 7000gm = 7kg \\
$
We got the value of $7000$ grams in kilograms which is $ = 7kg$

Note: Learn the prefixes of the metric system i.e. mega, kilo, centi, micro, nano, deci, pico etc. and the relation between them. It will help you a lot in solving the problems which have different quantities given in different unit systems or different prefixes.