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Chapter 1: Problem 11

A milligram is equal to how many grams?

Short Answer

Expert verified
1 milligram is equal to 0.001 grams.

Step by step solution

01

Understanding Units of Measurement

A milligram (mg) and a gram (g) are both units of mass in the metric system. We need to understand their relationship to solve this problem.
02

Metric System Conversion Factor

In the metric system, 1 gram is equal to 1000 milligrams. This is a key conversion factor between grams and milligrams.
03

Calculating the Conversion

To find out how many grams are in a milligram, we use the conversion factor: 1 milligram is equal to \( \frac{1}{1000} \) grams.
04

Formulating the Answer

Thus, 1 milligram is equal to 0.001 grams. This is the final conversion result.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Units of Measurement
Units of measurement are essential in science and daily life. They provide a standard way to express and compare quantities, like mass.
In the metric system, which is used worldwide, different units are used to measure mass. Some common units include grams, kilograms, and milligrams.
  • Grams (g): A base unit for mass in the metric system.
  • Kilograms (kg): Equal to 1,000 grams and often used for heavier masses.
  • Milligrams (mg): One-thousandth of a gram, used for very small weights.
All these units are interconnected by a factor of ten, which makes metric conversion straightforward using multiplication or division.
Mass Conversion
Mass conversion involves changing the mass from one unit to another. In the metric system, this process is simplified because it's based on powers of ten, making conversion intuitive.
To convert mass, understanding the relationship between units is crucial:
  • Grams to Kilograms: Divide the number of grams by 1,000.
  • Grams to Milligrams: Multiply the number of grams by 1,000.
  • Milligrams to Grams: As we'll explore further, divide the number of milligrams by 1,000.
These relationships allow for easy calculations using simple arithmetic, ensuring accuracy and consistency across measurements.
Milligrams to Grams
Converting milligrams to grams is a common task, especially in scientific contexts where precise measurements are needed.
The key conversion factor to remember is:
  • 1 gram = 1,000 milligrams
To convert milligrams to grams, you need to divide the number of milligrams by 1,000. This calculation stems from the fact that a milligram is a fraction (1/1,000) of a gram.
For example, if you have 5 milligrams and want to know how many grams that is:\[5\,\text{mg} \div 1000 = 0.005\,\text{g}\]Remembering this simple division will help you quickly convert any milligram value to grams. Practice makes it easier, and this knowledge is useful in a wide range of applications.

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