Question

Convert the following to the equivalent measures indicated. \(6,000 \mathrm{~g}=\) ______ \(\mathrm{kg}\)

Short answer

6,000 grams is 6 kilograms.

Step-by-step solution

Understand the units

Recognize that the given quantity is 6,000 grams, and we need to convert it to kilograms. The relationship between grams and kilograms is that 1 kilogram equals 1,000 grams.

Determine the conversion factor

Since 1 kilogram is equal to 1,000 grams, the conversion factor from grams to kilograms is dividing by 1,000.

Perform the conversion

To convert grams to kilograms, divide the number of grams by 1,000. Thus, \[ 6,000 \text{ grams} = \frac{6,000}{1,000} \text{ kilograms} \]

Simplify the expression

Calculate the division to find the number of kilograms. This results in \[ 6,000 \text{ grams} = 6 \text{ kilograms} \]

Key concepts

Measurement Units

Measurement units are standard quantities used to express physical quantities, such as length, mass, and time. Having a universal system of measurement units allows for clear communication and consistency in science, trade, and daily activities.

The metric system is the most widely used system of measurement around the world. It is based on units of ten, which makes it very easy to work with, especially when converting between units. For example, common metric units include meters for distance, liters for volume, and grams for mass.

Understanding measurement units helps us interpret and compare different quantities accurately. When dealing with problems like the conversion of 6,000 grams to kilograms, recognizing the units involved and their relationship forms the foundation for performing accurate calculations.

Unit Conversion

Unit conversion involves changing one unit of measurement to another. This is essential for comparing different types of quantities or when you need to express quantities in a preferred unit.

In the metric system, conversion is particularly straightforward due to its base-10 structure. This means you can easily convert units by shifting the decimal point. For example, converting from grams to kilograms simply involves dividing by 1,000, because 1 kilogram equals 1,000 grams.

To effectively perform unit conversions, follow these steps:

• Understand the relationship between the units.
• Determine the conversion factor.
• Apply the conversion factor to the quantity you are converting.

Once you identify the correct relationship and conversion factor, calculations become more manageable, which helps avoid errors.

Grams to Kilograms

Converting grams to kilograms is a basic unit conversion in the metric system. Grams and kilograms are both units of mass, commonly used to measure the weight of objects.

The basic relationship is:

• 1 kilogram = 1,000 grams

This implies that to convert from grams to kilograms, you need to divide the number of grams by 1,000.

Here's a simple example: if you have 6,000 grams and want to convert it to kilograms, you divide by 1,000:
\[ 6,000 ext{ grams} = \frac{6,000}{1,000} \text{ kilograms} \]

This calculation shows that 6,000 grams equals 6 kilograms. Understanding this conversion helps in everyday situations, such as when shopping or following a recipe where you need to deal with different units of mass.