Carry out the following conversions. (c) 65.2 mg = _ = g = _ pg

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First, let's convert milligrams (mg) to grams (g). We know that 1 gram is equal to 1000 milligrams. So, to convert milligrams to grams, we divide the number of milligrams by 1000. In this case, we divide 65.2 mg by 1000 to get the equivalent in grams.

Next, let's convert grams (g) to picograms (pg). We know that 1 gram is equal to 1 x 10^12 picograms. So, to convert grams to picograms, we multiply the number of grams by 1 x 10^12. In this case, we multiply the result from step 1 by 1 x 10^12 to get the equivalent in picograms.

Remember to keep track of your units throughout the conversion process to ensure they cancel out correctly.

Also, remember to use the correct number of significant figures in your final answer. In this case, the number 65.2 has three significant figures, so your final answers should also have three significant figures.

Finally, write down your answers. The number of grams is the result from step 1 and the number of picograms is the result from step 2.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another set of units. This involves using conversion factors, which are ratios that express how many of one unit are equivalent to another. For example, to convert milligrams to grams, one would use the conversion factor that 1 g = 1000 mg.

Metric System

The metric system is a decimal-based system of measurement used worldwide, which includes units such as meters, liters, and grams. It is organized in powers of ten, making conversions straightforward. Understanding the prefixes, such as milli- (10^-3) and pico- (10^-12), is essential for converting between different metric units.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert units by multiplying by conversion factors that cancel out unwanted units. This method ensures that the final answer is expressed in the desired units. It is particularly useful in chemistry for converting between different measurements, such as mass and volume.

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