Change 0.00765 kL into mL.
A 5.0 km race is scheduled for this weekend. How many miles is this race?
The Correct Answer and Explanation is:
Let’s answer each question with full explanations:
Question 1: Change 0.00765 kL into mL
Correct Answer:
7,650 mL
Explanation:
To convert kiloliters (kL) into milliliters (mL), we need to understand the metric conversion scale:
- 1 kiloliter (kL) = 1,000 liters (L)
- 1 liter (L) = 1,000 milliliters (mL)
So overall:
1 kL = 1,000,000 mL
This is because:
$1 \text{ kL} = 1,000 \text{ L}$ and
$1,000 \text{ L} \times 1,000 \text{ mL} = 1,000,000 \text{ mL}$
Now multiply:
$$
0.00765 \text{ kL} \times 1,000,000 \text{ mL/kL} = 7,650 \text{ mL}
$$
This conversion is especially important in fields like nursing, science, or manufacturing, where accuracy in fluid volumes is essential. Understanding how to move between metric units (which are base-10) helps prevent medication errors and miscalculations in clinical practice. The metric system is designed to be simple by using multiples of 10, so shifting the decimal point appropriately is a common method.
Question 2: A 5.0 km race is scheduled for this weekend. How many miles is this race?
Correct Answer:
Approximately 3.11 miles
Explanation:
To convert kilometers (km) to miles, we use the conversion factor:
$$
1 \text{ km} = 0.621371 \text{ miles}
$$
Now multiply:
$$
5.0 \text{ km} \times 0.621371 \text{ miles/km} = 3.106855 \text{ miles}
$$
Rounded to two decimal places:
5.0 km ≈ 3.11 miles
This conversion is particularly relevant in countries like the United States where distances are typically measured in miles. Knowing how to convert between metric and imperial systems is essential for travelers, athletes, and healthcare professionals who need to communicate or interpret data across different systems of measurement.
For example, if a patient tells a nurse they walk 5 km daily, and the nurse is more familiar with miles, converting the distance helps in health assessments. Similarly, in athletics, races may be promoted in kilometers while training may occur in miles, so conversions help with planning and tracking performance.
Summary:
- 0.00765 kL = 7,650 mL
- 5.0 km = 3.11 miles