Question

convert the following metric units: 1. 1 kilometer = select meters 2. 100 centimeters = select meters 3. 100 millimeters = select meters 4. 1000 millimeters = select meters 5. 100,000 centimeters = select meters

Explanation:

Step1: Recall metric unit conversions

We know the following metric unit relationships:

• \( 1 \text{ Kilometer (km)} = 1000 \text{ Meters (m)} \)
• \( 1 \text{ Meter (m)} = 100 \text{ Centimeters (cm)} \)
• \( 1 \text{ Meter (m)} = 1000 \text{ Millimeters (mm)} \)

1. 1 Kilometer to Meters

Step2: Apply km to m conversion

Using \( 1 \text{ km} = 1000 \text{ m} \), so \( 1 \text{ km} = 1000 \text{ m} \).

2. 100 Centimeters to Meters

Step3: Apply cm to m conversion

Since \( 1 \text{ m} = 100 \text{ cm} \), divide 100 cm by 100: \( \frac{100 \text{ cm}}{100} = 1 \text{ m} \).

3. 100 Millimeters to Meters

Step4: Apply mm to m conversion

Since \( 1 \text{ m} = 1000 \text{ mm} \), divide 100 mm by 1000: \( \frac{100 \text{ mm}}{1000} = 0.1 \text{ m} \).

4. 1000 Millimeters to Meters

Step5: Apply mm to m conversion

Using \( 1 \text{ m} = 1000 \text{ mm} \), so \( \frac{1000 \text{ mm}}{1000} = 1 \text{ m} \).

5. 100,000 Centimeters to Meters

Step6: Apply cm to m conversion

Since \( 1 \text{ m} = 100 \text{ cm} \), divide 100,000 cm by 100: \( \frac{100000 \text{ cm}}{100} = 1000 \text{ m} \).

Answer:

1. \( 1000 \)
2. \( 1 \)
3. \( 0.1 \)
4. \( 1 \)
5. \( 1000 \)