Question

How many micrograms (ug)are equal to 0.000520 grams?[?] ugGive your answer in standard form.

Answer 1

There are 520 micrograms in 0.000520 grams

Explanation:

From the question provided, you are asked to convert 0.000520 grams to micrograms

Given information

The mass to be converted = 0.000520grams

According to standard conversion,

`1\text{ microgram is equivalent to 1 }\cdot10^(-6)\text{ grams}`

Let x be the mass to be converted in micrograms

`\begin{gathered} 1\text{ }\mu g\text{ }\rightarrow\text{ 1 }\cdot10^(-6)\text{ grams} \\ x\text{ }\mu g\text{ }\rightarrow\text{ 0.000520 grams} \\ \text{Cross multiply} \\ 1\cdot\text{ 0.000520 = x }\cdot\text{ 1 }\cdot10^(-6) \\ \text{Isolate x} \\ x\text{ = }(0.000520)/(1\cdot10^(-6)) \\ x\text{ = }(5.20\cdot10^(-4))/(1\cdot10^(-6)) \\ x\text{ = }(5.20)/(1)\cdot10^{-4\text{ + 6}} \\ x\text{ = 5.20 }\cdot10^2 \\ x\text{ = 5.20 x 100} \\ x\text{ = 520}\mu g \end{gathered}`

Therefore, there are 520 micrograms in 0.000520 grams