Question

write the 1 gram equivalents of the units with the following prefixes: part 1 of 3 1 g = kilograms part 2 of 3 1 g = nanograms

Explanation:

Part 1: Convert grams to kilograms

Step 1: Recall the conversion factor

We know that \(1\space kg = 1000\space g\), so \(1\space g=\frac{1}{1000}\space kg\).
Using the formula \(y = x\times10^{n}\), where \(x = 1\) and \(n=- 3\) (since \(\frac{1}{1000}=10^{-3}\)).

Part 2: Convert grams to nanograms

Step 1: Recall the conversion factor

We know that \(1\space ng=10^{-9}\space g\), so \(1\space g = 10^{9}\space ng\).
Using the formula \(y = x\times10^{n}\), where \(x = 1\) and \(n = 9\).

Answer:

1. \(1\space g=1\times10^{- 3}\space kg\)
2. \(1\space g=1\times10^{9}\space ng\)