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Chapter 1: Problem 34

Fill in each blank. \(1 \mathrm{mg}=\)_____\(\mathrm{g}\)

Short Answer

Expert verified
1 mg = 0.001 g

Step by step solution

01

Understand the Unit Conversion

The problem requires converting milligrams (mg) into grams (g). To correctly fill in the blank, you need to know the basic conversion rule from milligrams to grams.
02

Apply the Conversion Rule

In the metric system, 1 gram is equal to 1000 milligrams. Therefore, to convert milligrams to grams, you divide the number of milligrams by 1000.
03

Perform the Conversion Calculation

We have 1 mg and need to convert it to grams. Using the rule from the previous step, \(1 \, \text{mg} = \frac{1}{1000} \, \text{g}\). So, 1 milligram is equal to 0.001 grams.

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Key Concepts

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

Understanding the Metric System
The metric system is a decimal-based system of measurement that is used around the world. It is favored for its simplicity and ease of conversion between units. All metric units are based on powers of ten, making conversions straightforward. This means you can convert from one unit to another using simple multiplication or division. For example, grams, one of the base units of mass in the metric system, can easily be converted to milligrams or kilograms. Because every unit is a factor of ten larger or smaller than the unit next to it, the system is particularly user-friendly.
Converting Milligrams to Grams
Milligrams (mg) and grams (g) are common units of mass within the metric system. Grams are the standard unit, while milligrams are often used for lighter weights. Knowing how to convert milligrams to grams is an essential skill.
One gram is equal to 1000 milligrams, according to the metric system. This conversion factor makes it easy to switch between these two units. By dividing the milligram value by 1000, you can find its equivalent in grams. This rule is always the same, ensuring consistent conversions every time.
Performing a Conversion Calculation
Performing the conversion from milligrams to grams involves straightforward division. For example, to convert 1 mg to grams, you simply divide by 1000.
The calculation looks like this:
  • Take the value in milligrams, in this case, 1 mg.
  • Divide this value by 1000.
  • The result is the equivalent value in grams.
Therefore, the conversion of 1 mg results in 0.001 g. This method can be applied to any milligram value needing conversion to grams.
Understanding the Basic Conversion Rule
The basic conversion rule for milligrams to grams is an essential part of using the metric system. The rule is simple:
  • 1 gram = 1000 milligrams
  • To convert from milligrams to grams, divide by 1000
This principle highlights the efficiency of the metric system, where mass is neatly organized by base ten increments. It simplifies calculations across various fields, from everyday cooking to scientific research, ensuring precision and ease of understanding. Whether converting small or large values, this rule remains consistent and reliable.

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