Question

please match each measurement with its equivalent answer.
1 0.001 meter =
2 0.01 meter =
3 0.515 meters =
4 0.015 meters =
5 1 meter =
match each of the options above to the items below.
1 millimeter
1000 millimeters
15 millimeters
1 centimeter
0.000515 kilometers

Explanation:

Step1: Recall unit conversions

We know the following conversions:

• \( 1 \text{ meter} = 1000 \text{ millimeters} \)
• \( 1 \text{ meter} = 100 \text{ centimeters} \) (so \( 1 \text{ centimeter} = 0.01 \text{ meter} \))
• \( 1 \text{ meter} = 1000 \text{ millimeters} \) (so \( 1 \text{ millimeter} = 0.001 \text{ meter} \))
• \( 1 \text{ kilometer} = 1000 \text{ meters} \) (so \( 1 \text{ meter} = 0.001 \text{ kilometers} \), hence \( 0.515 \text{ meters} = 0.515 \times 0.001 = 0.000515 \text{ kilometers} \))
• \( 1 \text{ meter} = 1000 \text{ millimeters} \), so \( 0.015 \text{ meters} = 0.015 \times 1000 = 15 \text{ millimeters} \)

Step2: Match each measurement

1. \( 0.001 \text{ meter} \): Since \( 1 \text{ millimeter} = 0.001 \text{ meter} \), match with "1 millimeter".
2. \( 0.01 \text{ meter} \): Since \( 1 \text{ centimeter} = 0.01 \text{ meter} \), match with "1 centimeter".
3. \( 0.515 \text{ meters} \): Convert to kilometers: \( 0.515 \div 1000 = 0.000515 \text{ kilometers} \), match with "0.000515 kilometers".
4. \( 0.015 \text{ meters} \): Convert to millimeters: \( 0.015 \times 1000 = 15 \text{ millimeters} \), match with "15 millimeters".
5. \( 1 \text{ meter} \): Convert to millimeters: \( 1 \times 1000 = 1000 \text{ millimeters} \), match with "1000 millimeters".

Answer:

1. \( 0.001 \text{ meter} \) → 1 millimeter
2. \( 0.01 \text{ meter} \) → 1 centimeter
3. \( 0.515 \text{ meters} \) → 0.000515 kilometers
4. \( 0.015 \text{ meters} \) → 15 millimeters
5. \( 1 \text{ meter} \) → 1000 millimeters