Chapter 1: Problem 108
In A kilogram is equal to how many milligrams?
Short Answer
Expert verified
1 kg = 1,000,000 mg.
Step by step solution
01
Convert Kilograms to Grams
First, we need to convert kilograms (kg) to grams (g). We know that 1 kilogram is equal to 1000 grams. Therefore, write down the conversion: 1 kg = 1000 g.
02
Convert Grams to Milligrams
Next, we convert grams to milligrams (mg). We know that 1 gram equals 1000 milligrams. So apply this conversion to find out how many milligrams are in a gram: 1 g = 1000 mg.
03
Calculate Total Milligrams
Now we combine both conversions to find the total amount of milligrams in 1 kilogram. Since 1 kg = 1000 g and 1 g = 1000 mg, multiply the number of grams by the number of milligrams per gram. Perform the calculation: 1000 g * 1000 mg = 1,000,000 mg.
04
Conclusion
As a result of the above calculation, 1 kilogram is equal to 1,000,000 milligrams.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Kilogram to Milligram Conversion
Converting between kilogram and milligram is a practical skill, especially when dealing with different scales of measurements in various fields like science and engineering. To convert kilograms to milligrams, we first convert kilograms to grams, and then grams to milligrams. Let's break this down:
- Start by recognizing that 1 kilogram is equal to 1000 grams. This is the basic metric system conversion for mass.
- Next, understand that 1 gram is equal to 1000 milligrams. This helps us see the relationship between grams and milligrams.
Unit Conversion in Chemistry
Unit conversion is a fundamental skill in chemistry, essential for interpreting and calculating various chemical quantities. Chemistry often requires precise measurements with units like moles, liters, and grams. Let’s focus on understanding the importance of converting mass units:
- Chemistry experiments frequently necessitate the conversion of mass units. For instance, when weighing chemicals, you may need to switch from kilograms to milligrams depending on the quantity of the substance.
- It is crucial to comprehend these unit conversions to accurately calculate reagent amounts, implement formulas, and understand reaction yields.
Mass Measurement Units
Understanding mass measurement units is crucial in both everyday life and scientific disciplines. Mass indicates the amount of matter in an object, and the metric system is commonly used for these measurements. Here's a breakdown of common mass units:
- Kilogram (kg): Often used in everyday settings for larger objects or quantities, such as body weight or produce.
- Gram (g): Convenient for measuring smaller masses, like kitchen ingredients or small quantities of chemicals.
- Milligram (mg): Used for very small measurements, typically found in pharmaceuticals and analytical chemistry.