Convert the following into units of measurement

est Yourself (Assessment) – Convert the following into units of measurement: 1. 5 meters = 500 centimeters 2. 300 centimeters = 3 meters 3. √1/4 of a meter = 15 centimeters 4. √1/9 of a meter = 10 centimeters 5. 800 centimeters = 8 meters

The Correct Answer and Explanation is:

Of course. Here are the correct answers and a detailed explanation for the conversion problems.

Correct Answers

1. 5 meters = 500 centimeters
2. 300 centimeters = 3 meters
3. ½ of a meter = 50 centimeters
4. ¼ of a meter = 25 centimeters
5. 800 centimeters = 8 meters

Explanation

This assessment tests your ability to convert between two common metric units of length: meters (m) and centimeters (cm). The key to solving all these problems is knowing the fundamental relationship between them:

1 meter = 100 centimeters

From this single fact, we can create two simple rules for conversion.

Rule 1: Converting Meters to Centimeters
When you need to change a measurement from meters to centimeters, you are moving from a larger unit to a smaller unit. This means you will have more of the smaller units. Therefore, you must multiply the number of meters by 100.

Rule 2: Converting Centimeters to Meters
When you need to change a measurement from centimeters to meters, you are moving from a smaller unit to a larger one. This means you will have fewer of the larger units. Therefore, you must divide the number of centimeters by 100.

Let’s apply these rules to each problem:

1. 5 meters to centimeters: We are converting from meters to centimeters, so we multiply by 100.
   5 × 100 = 500 centimeters.
2. 300 centimeters to meters: We are converting from centimeters to meters, so we divide by 100.
   300 ÷ 100 = 3 meters.
3. ½ of a meter to centimeters: This question asks for half of a meter. Since 1 meter is 100 centimeters, we need to find half of 100.
   100 ÷ 2 = 50 centimeters.
4. ¼ of a meter to centimeters: This question asks for one quarter of a meter. We find one quarter of 100 centimeters.
   100 ÷ 4 = 25 centimeters.
5. 800 centimeters to meters: We are converting from centimeters to meters again, so we divide by 100.
   800 ÷