Question

Convert the following to the equivalent measures indicated. $23\mathrm{g}=$ ______ $\mathrm{kg}$

Short answer

23 grams is equal to 0.023 kilograms.

Step-by-step solution

Understand the Conversion Factor

To convert grams to kilograms, we need to know the conversion factor. There are 1000 grams in 1 kilogram. This means that 1 gram is equal to 0.001 kilograms.

Apply the Conversion

Using the conversion factor, multiply the given number of grams by 0.001 to convert to kilograms. For 23 grams, the calculation is: $$23imes0.001=0.023$$

Write the Final Answer

Now that the conversion calculation is complete, the equivalent measure in kilograms is 0.023 kg.

Key concepts

Metric System

The metric system is a universal way of measuring different quantities like length, mass, and volume. It is based on units of ten, which makes it intuitive and easy to use. This system is predominantly used worldwide due to its simplicity in calculations.
For mass, common metric units include:

• Milligrams (mg)
• Grams (g)
• Kilograms (kg)

Each of these units is related by powers of ten. For example, 1 kilogram equals 1000 grams.
This is handy for converting between different units. Whenever you need to switch from grams to kilograms, you divide the number of grams by 1000. Conversely, converting kilograms to grams requires multiplying by 1000. The metric system's straightforward structure simplifies the concept of unit conversion.

Conversion Factor

A conversion factor is a number or formula used to change the unit of a measurement without changing its value. In unit conversions, this factor allows us to switch from one unit to another.
For the metric conversion of grams to kilograms, the conversion factor is 0.001. This factor is derived from knowing there are 1000 grams in a kilogram.
With conversion factors, you have a few straightforward steps to follow:

• Identify the units you need to convert. For example, grams to kilograms.
• Use the conversion factor. Multiply the measurement by this factor.
• Carry out the calculation accurately to ensure no errors.

Conversion factors are essential in various fields like science and mathematics as they help standardize measurements.

Mathematics Education

Mathematics education involves teaching methods and concepts to help students understand mathematical principles. Unit conversion is a key area of focus in early mathematics education because it supports a student's ability to understand and solve real-world problems.
Understanding unit conversions is crucial because it:

• Develops problem-solving skills.
• Enhances logical thinking.
• Prepares students for advanced math courses.
• Applies math to everyday situations.

Educators often teach conversions using relatable examples, such as converting grams to kilograms. This hands-on approach helps solidify the abstract concepts in a student's mind. Furthermore, practicing with different units in math class can help students gain confidence in tackling more complex mathematical operations and scientific inquiries.