The prefixes have fixed values such as 1000 = 1 k in 1000 m = 1 km or 1000 s = 1

Question

The prefixes have fixed values such as 1000 = 1 k in 1000 m = 1 km or 1000 s = 1 ks; however sometimes with the smaller prefixes we reverse the equivalence. So 1 dm = 0.1 m, can be written as 10 dm = 1 m by multipling each side by a factor of 10 we get rid of the fraction. Again you should know the correct value for the prefixes giga, mega and kilo, but also for deci, centi, milli, micro and nano. These last can be written in two forms and both are commonly used. The question may have multiple correct answers. Choose all the unit factors for the following metric relationship g and ng a. 1 g / 109 ng b. 1 g / 0.000000001 ng c. 10-9 g / 1 ng d. 0.000000001 g / 1 ng

Explanation / Answer

Ans. 1 nanogram is one-billionth of a gam.

That is,

            1 ng = (1 / 1 billion) g = 1 / 109 g                              ; [1 billion = 109]

                        = 10-9 g                       [option C. 10-9 g = 1 ng]

                        = 0.000000001 g       [option D. 0.000000001 g = 1 ng]

Or, 1 g = 1 ng x billion

= 109 ng                      [option A. 1g = 10-9 ng]

Option B. 1 g = 0.000000001 ng = 10-9 ng   - Incorrect

So, correct option = A, C, D

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