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Chapter 11: Problem 41

Which is largest: a kilogram, gram, or milligram? _______

Short Answer

Expert verified
A kilogram is the largest.

Step by step solution

01

Understanding Units of Mass

The units mentioned here are all units of mass in the metric system. They differ by a factor of 10, 100, or 1000, making it easier to convert between them. You need to know the relative sizes of these units to compare them.
02

Conversion Factors

In the metric system, 1 kilogram (kg) is equal to 1000 grams (g), and 1 gram is equal to 1000 milligrams (mg). Remember these conversion factors: 1 kg = 1000 g 1 g = 1000 mg.
03

Comparison Based on Conversion

To find out which is the largest, compare using the conversion factors. Since 1 kg is 1000 g, and 1 g is 1000 mg, it follows that 1 kg is 1,000,000 mg. Therefore, 1 kg is larger than both 1 g and 1 mg.
04

Conclusion

Using the conversion information, it is apparent that a kilogram is the largest unit among kilogram, gram, and milligram.

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Key Concepts

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

Units of Mass
In the metric system, understanding units of mass is crucial. These units include kilograms (kg), grams (g), and milligrams (mg). The metric system is designed around a base 10 system, making it straightforward to switch between units. Each step up or down involves multiplying or dividing by factors of ten. This system is universally used in scientific and everyday settings because of its simplicity and consistency. Grasping these units' differences allows for easy comparison and conversion. For example, while all three units measure mass, a kilogram is the largest, followed by the gram, and then the milligram.
Metric Conversion
Metric conversion involves changing one unit to another using conversion factors. These factors represent the relationship between units. For mass, conversion factors follow the principle of the base 10 system.
For instance:
  • 1 kg is equal to 1000 g, meaning for every kilogram, there are 1000 grams.
  • 1 g is equal to 1000 mg, so each gram contains 1000 milligrams.
The ability to convert between these units efficiently is essential, especially in calculations requiring different unit specifications. Understanding these conversions allows you to deal with various real-world problems, whether weighing ingredients or calculating scientific measures.
Mass Comparison
Mass comparison involves using known metrics to determine which of several given amounts is largest or smallest. With metric units, you often convert each unit to the smallest unit for easy comparison. In this case, comparing a kilogram, a gram, and a milligram involves converting them all to milligrams:
  • 1 kg = 1,000,000 mg
  • 1 g = 1,000 mg
  • 1 mg = 1 mg
Through this conversion, it is clear that a kilogram, equaling 1,000,000 mg, is significantly larger than both a gram and a milligram. Recognizing the importance of conversion factors helps in identifying the largest or smallest unit quickly, providing clarity in practical and academic scenarios.

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