the table below shows metric units of mass, with the relationship of each unit to 1 gram represented as a…

the table below shows metric units of mass, with the relationship of each unit to 1 gram represented as a power of 10. metric units of mass units power of 10 microgram 10^-6 milligram 10^-3 centigram 10^-2 gram 10^0 kilogram 10^3 which statement comparing these measures is true? a microgram is 1,000 times greater than a milligram. a milligram is 10 times greater than a centigram. a centigram is 100 times greater than a microgram. a kilogram is 100,000 times greater than a centigram.

the table below shows metric units of mass, with the relationship of each unit to 1 gram represented as a power of 10. metric units of mass units power of 10 microgram 10^-6 milligram 10^-3 centigram 10^-2 gram 10^0 kilogram 10^3 which statement comparing these measures is true? a microgram is 1,000 times greater than a milligram. a milligram is 10 times greater than a centigram. a centigram is 100 times greater than a microgram. a kilogram is 100,000 times greater than a centigram.

Answer

Answer:

A kilogram is 100,000 times greater than a centigram.

Explanation:

Step1: Analyze option A

Compare microgram and milligram. $\frac{10^{- 6}}{10^{-3}}=10^{-6 + 3}=10^{-3}$, so a micro - gram is $\frac{1}{1000}$ of a milligram, not 1000 times greater.

Step2: Analyze option B

Compare milligram and centigram. $\frac{10^{-3}}{10^{-2}}=10^{-3+2}=10^{-1}$, so a milligram is $\frac{1}{10}$ of a centigram, not 10 times greater.

Step3: Analyze option C

Compare centigram and microgram. $\frac{10^{-2}}{10^{-6}}=10^{-2 + 6}=10^{4}$, so a centigram is 10,000 times greater than a microgram, not 100 times greater.

Step4: Analyze option D

Compare kilogram and centigram. $\frac{10^{3}}{10^{-2}}=10^{3+2}=10^{5}=100000$, so a kilogram is 100,000 times greater than a centigram.