Answer:
The mass of the substance is [tex]\mathit{8\cdot 10^{3}}[/tex] grams.
Step-by-step explanation:
Scientific Notation
The mass of a substance is [tex]8\cdot 10^9[/tex] micrograms and one microgram is 0.000001 grams.
This last unit needs to be expressed in scientific notation:
[tex]0.000001 grams = 1\cdot 10^{-6}[/tex]
The mass of the substance in grams is calculated by:
[tex]8\cdot 10^9 * 1\cdot 10^{-6}[/tex]
Multiply the magnitudes and add the exponents:
[tex]8\cdot 10^9 * 1\cdot 10^{-6}=8\cdot 10^{-6+9}=8\cdot 10^{3}[/tex]
The mass of the substance is [tex]\mathbf{8\cdot 10^{3}}[/tex] grams.
