Questions: Complete each row of the table below by filling in the missing prefix or missing exponent 1 mg = 10^6 g 1 mg = 10^ g 1 ng = 10^ g 1 g = 10^-6 g

Complete each row of the table below by filling in the missing prefix or missing exponent

1 mg = 10^6 g

1 mg = 10^ g

1 ng = 10^ g

1 g = 10^-6 g

Transcript text: Complete each row of the table below by filling in the missing prefix or missing exponent \begin{tabular}{rl} \hline 1 m g & $=10^{6} \mathrm{~g}$ \\ 1 mg & $=10^{\square} \mathrm{g}$ \\ \hline 1 ng & $=10^{\square} \mathrm{g}$ \\ $1 \square \mathrm{~g}$ & $=10^{-6} \mathrm{~g}$ \\ \hline \end{tabular}

Solution

Solution Steps

Step 1: Understanding the SI Prefixes

The SI prefix "m" stands for "milli," which is \(10^{-3}\).
The SI prefix "n" stands for "nano," which is \(10^{-9}\).

Step 2: Filling in the Missing Exponent for 1 mg

Given: \(1 \text{ mg} = 10^{\square} \text{ g}\).
Since "milli" is \(10^{-3}\), \(1 \text{ mg} = 10^{-3} \text{ g}\).

Step 3: Filling in the Missing Exponent for 1 ng

Given: \(1 \text{ ng} = 10^{\square} \text{ g}\).
Since "nano" is \(10^{-9}\), \(1 \text{ ng} = 10^{-9} \text{ g}\).

Step 4: Determining the Missing Prefix for \(10^{-6}\) g

Given: \(1 \square \text{ g} = 10^{-6} \text{ g}\).
The SI prefix for \(10^{-6}\) is "micro," represented by the symbol "µ".

Final Answer

\( \boxed{-3} \) for \(1 \text{ mg} = 10^{\square} \text{ g}\)
\( \boxed{-9} \) for \(1 \text{ ng} = 10^{\square} \text{ g}\)
\( \boxed{\text{µ}} \) for \(1 \square \text{ g} = 10^{-6} \text{ g}\)

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