Write the equality and two conversion factors for each of the following pairs of units:
b. nanograms and grams

Guida verificata passo dopo passo

Step 1: Understand the relationship between nanograms (ng) and grams (g). The prefix 'nano-' means 10^-9, so 1 nanogram (ng) is equal to 10^-9 grams (g).

Step 2: Write the equality that relates nanograms to grams: 1 ng = 10^-9 g.

Step 3: From the equality, derive the first conversion factor. To convert from nanograms to grams, use the factor: \( \frac{10^{-9} \text{ g}}{1 \text{ ng}} \).

Step 4: Derive the second conversion factor. To convert from grams to nanograms, use the factor: \( \frac{1 \text{ ng}}{10^{-9} \text{ g}} \).

Step 5: Summarize the equality and the two conversion factors: Equality: 1 ng = 10^-9 g. Conversion factors: \( \frac{10^{-9} \text{ g}}{1 \text{ ng}} \) and \( \frac{1 \text{ ng}}{10^{-9} \text{ g}} \).

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