Question

How do you convert 0.5 grams into kilograms?

Answer 1

Hint: Check out the different units of measurement of weight and relation between them. Observe the relationship of conversion of units from grams to kilograms and use the information: - 1kg = 1000g to calculate the correct answer.

Complete answer:
Here, we have been provided with a weight of 0.5grams and we have been asked to convert it into kilograms, that is from gram to kilogram. But first let us see what are the different units needed to measure a weight.
Now, mass is defined as the amount of matter present in a body. Here, we are considering the mass and weight as the same things although they are not according to physics. There are several units used for the measurement of weight. For example: - milligrams, centigrams, grams are used for the measurement of light objects while kilograms, quintals, metric tons are used for the measurement of heavy objects.
Here, our main concern is to find the relationship between grams and kilograms. So, the conversion formula is given as: - 1 kg = 1000g, that is one kg measures thousand grams.
Now, let us come to the question. We have been provided 0.5 grams. So, we have,
$$\begin{array}{rl}& \because 1kg=1000g\\ & \Rightarrow 1000g=1kg\\ & \Rightarrow 1g={\displaystyle \frac{1}{1000}}kg\end{array}$$
This expression can be written as: -
$$\Rightarrow 1g={10}^{-3}kg$$
Multiplying both the sides with 0.5, we get,
$$\Rightarrow 0.5g=0.5\times {10}^{-3}kg=0.0005kg$$
Hence, 0.0005 kg is equivalent to 0.5 grams.

Note: One must remember the relationships between several units of measurement of weight as there are many problems where we will be required to use these conversions. Remember that the S.I. The unit of mass is ‘kilogram’, so generally questions are asked in physics in which we are required to convert the given units in the S.I. system of units. You must also remember conversion relations of other physical quantities like: - length, volume, area etc.