Question

1. a challenge: convert 100125368477004 ng to teragrams.

Explanation:

Step1: Recall unit conversions

We know that \(1\) gram (\(g\)) \( = 10^{9}\) nanograms (\(ng\)), and \(1\) Teragram (\(Tg\)) \( = 10^{12}\) grams (\(g\)). So first, convert nanograms to grams, then grams to Teragrams.

Step2: Convert ng to g

Given the mass \(m = 100125368477004\space ng\). To convert to grams, use the conversion factor \(1\space g=10^{9}\space ng\), so \(m\) in grams is \(m_{g}=\frac{100125368477004}{10^{9}}\space g\).

\[m_{g}= 100125368477004\times10^{- 9}\space g=100125.368477004\space g\]

Step3: Convert g to Tg

Now, convert grams to Teragrams. Since \(1\space Tg = 10^{12}\space g\), the conversion factor is \(1\space Tg=10^{12}\space g\), so \(m\) in Teragrams is \(m_{Tg}=\frac{100125.368477004}{10^{12}}\space Tg\).

\[m_{Tg}=100125.368477004\times 10^{- 12}\space Tg = 1.00125368477004\times10^{-7}\space Tg\]

Answer:

\(1.00125368477004\times10^{-7}\space Tg\) (or approximately \(1.00\times 10^{-7}\space Tg\) depending on significant figures)