Question

How do you convert $9.3\times {{10}^{-5}}g$ into $\mu g$ (micrograms)?

Answer 1

Hint: Mass is defined as the basic property of matter and also one of the fundamental quantities in chemistry. It is the measure of the amount of matter in a body. The mass of the body does not change at any time. But there are certain cases, that is, when huge amount of energy given or taken from a body.

Complete step-by-step answer:Mass is defined as the matter that is present in the object. There are two most common units which are used for the measurement of mass, that are, gram and kilogram.
Gram:
A gram is defined as a metric system unit of mass. It is denoted with the symbol $g$ . There are many applications where gram is used as a unit for measurement. It is used for the measurement of non-liquid ingredients in cooking and grocery shopping. It is also used for nutrition labels on food products.
Kilogram:
A kilogram is defined as a metric unit of measurement. It is denoted with the symbol $kg$ . One kilogram is equal to $2.2046$ pounds.
In this question it is given that the mass is $9.3\times {{10}^{-5}}g$ .
Here, we have to convert grams into micrograms.
As we know that one microgram is equal to ${{10}^{-6}}$ grams.
 ${{10}^{-6}}g$ is equal to $1\,\mu g$
Therefore, $9.3\times {{10}^{-5}}g$ is equal to $9.3\times {{10}^{1}}\mu g$
 $9.3\times {{10}^{1}}\mu g$ is equal to $93\mu g$
Hence, $9.3\times {{10}^{-5}}g$ is equal to $93\,\mu g$.

Note:In this question, we have concluded that gram is unit of mass. We have to convert grams into micrograms. Here, we have converted $9.3\times {{10}^{-5}}g$ into micrograms by simply multiplying it with ${{10}^{6}}$ . Students can have a lot of problems during rounding off the number. Hence, detailed knowledge is required when solving these types of questions.