Question

Convert the following to the equivalent measures indicated. \(0.008 \mathrm{~g}=\) ______ \(\mathrm{mg}\)

Short answer

0.008 grams is equal to 8 milligrams.

Step-by-step solution

Understand the Conversion Factor

To convert grams (g) to milligrams (mg), we use the conversion factor: 1 gram = 1000 milligrams. This means that we can multiply the number of grams by 1000 to get the equivalent number of milligrams.

Apply the Conversion Factor

Use the conversion factor from Step 1. Multiply 0.008 grams by 1000 to convert it to milligrams:\(0.008 \text{ g} \times 1000 = 8 \text{ mg}\) This calculation will give us the result in milligrams.

Write the Final Answer

After calculating in Step 2, we find that 0.008 grams is equal to 8 milligrams. Thus, the conversion is complete.

Key concepts

Conversion Factor

When converting between different measurement units, understanding the concept of a conversion factor is crucial. A conversion factor is a number used to change one set of units to another. It's derived from the relationship between these units. For instance, when dealing with grams and milligrams, we know from the conversion factor that:

• 1 gram = 1000 milligrams.
• This means grams are a larger unit than milligrams, by a factor of 1000.

To use a conversion factor, you multiply the initial quantity by this number, enabling a seamless transition from one unit to the next. With this approach, conversions become straightforward and help ensure accuracy in calculations.

Measurement Units

Measurement units are standard quantities used to express and compare physical quantities. In our everyday and scientific lives, we encounter numerous units like meters for length, liters for volume, and grams for mass. Picking the right unit is essential for making sense of numerical data.
Grams and milligrams are both units for measuring mass, primarily used in the metric system. Grams are often used for larger masses, while milligrams are better suited for smaller quantities. Understanding which unit to use and how to convert them can simplify solving problems involving mass, just like the conversion from grams to milligrams.
Mastering measurement units instills confidence when handling data across different contexts, proving beneficial in fields ranging from kitchen measures to complex scientific calculations.

Gram to Milligram Conversion

Converting grams to milligrams is a common task, especially when dealing with small quantities in scientific and daily life scenarios. This conversion is straightforward due to the defined relationship that 1 gram is equal to 1000 milligrams.
To perform this conversion:

• Identify the weight in grams that you need to convert. For example, 0.008 grams.
• Use the conversion factor: Multiply the given weight by 1000.
• So, 0.008 grams × 1000 = 8 milligrams.

Thus, converting from grams to milligrams is simple with the use of multiplication. This conversion is particularly useful in areas such as medicine, chemistry, and cooking, where precise measurements are a must to achieve desired outcomes.