a. Find the number of kilometers in 92.25 m. b. Convert the answer in kilometers to centimeters.

Converting between meters and kilometers is straightforward. The basic idea is to understand the relationship between these units. One kilometer is equivalent to 1,000 meters. This means if you want to convert meters to kilometers, you have to divide the number of meters by 1,000.

This step reduces the larger number (meters) to a smaller number (kilometers). For instance, using our exercise, we have 92.25 meters. When we divide by 1,000:
\( \frac{92.25}{1000} = 0.09225\ \text{ kilometers} \) Converting between these two units is very handy in everyday situations, like calculating distances for travel or sports.

Next, let’s look at converting kilometers to centimeters. This involves understanding the larger gap between these units. Here, one kilometer equals 100,000 centimeters. So, to convert kilometers to centimeters, you need to multiply the number of kilometers by 100,000.

This step increases the smaller number (kilometers) to a much larger number (centimeters). Taking our previous result of 0.09225 kilometers, we get:
\( 0.09225 \times 100000 = 9225 \text{ centimeters} \)
This type of conversion is useful when dealing with measurements that require precision, like mapping land or construction work.

Understanding metric system conversions is essential for scientific calculations and daily activities. The metric system is based on units of 10. This means each unit is ten times larger or smaller than the next.

Here are common prefixes used:

• Kilo-: Representing 1,000 units (e.g., kilometers)
• Meter-: The base unit for length (e.g., meters)
• Centi-: Representing 0.01 units (e.g., centimeters)

When converting within the metric system, keep these relationships in mind. For example, converting meters to kilometers involves moving the decimal point three places to the left because each kilometer is 1,000 meters. Conversely, converting kilometers to centimeters involves moving the decimal point five places to the right.

Mastering these conversions will make measuring and understanding distances, weights, and volumes much easier.