Question

write the 1 gram equivalents of the units with the following prefixes:
part 1 of 3
1 g = 1 × 10^{-3} kilograms
part 2 of 3
1 g = 1 × 10^{9} nanograms
part 3 of 3
1 g = micrograms

Explanation:

Part 1: Convert grams to kilograms

Step1: Recall the conversion factor

We know that \(1\space kg = 10^{3}\space g\). To find the conversion from grams to kilograms, we use the formula \(x\space kg=\frac{x\space g}{10^{3}}\). So, \(1\space g = 1\times10^{- 3}\space kg\).

Part 2: Convert grams to nanograms

Step1: Recall the conversion factor

We know that \(1\space g=10^{9}\space ng\). So, \(1\space g = 1\times10^{9}\space ng\).

Part 3: Convert grams to micrograms

Step1: Recall the conversion factor

We know that \(1\space g = 10^{6}\space\mu g\).

Answer:

Part 1: \(1\times10^{-3}\space kg\)
Part 2: \(1\times10^{9}\space ng\)
Part 3: \(1\times10^{6}\space\mu g\)